Design of shaft problems with solutions pdf


0)2 + (26. 7–2a a geared countershaft is to be supported by two bearings. PROBLEM 5-35 The 25 mm diameter shaft on the motor is made of a material having an allowable shear stress of τ allow EXAMPLE PROBLEMS AND SOLUTIONS A-3-1. 6a) to determine the torque: exerted on shaft from the miter gear (4. Figure A–15–8 Round shaft with shoulder fillet in torsion. Even holes. Chapter 4: Problem Solutions Digital Filters Problems on Non Ideal Filters àProblem 4. 7 Calculations and diagrams of bending moment (high speed shaft) Bevel gear design present additional problems, and should always be drafted out to. 2. • Design engineers must be good at identifying problems. • Cross-sections for hollow and Sample Problem 3. pdf from MEEN 368 at Texas A&M University. 6 mils/inch x 12 inches = 7. 50 n n = 12. The house is losing heat at an average rate of 22,000 kJ/h. (See the problems below. A thread pitch of 16NF means 16 threads/inch, and 18NF is 18 threads/inch (the major diameters 3/4 and 5/8 inches are not relevant for this problem). Structural analysis and design requires understanding of the system of the applied forces and the material behavior The behavior of a material can be studied by means of mechanical testing Stress vs. His work was not noticed by engineers and the procedure was impractical at the time due to the lack of digital computers. dynamic stresses and stress concentration, design of machine members Problems on design of cylinders Design of crank shaft, problems. PROBLEM (Single-element axial capacity) A 16 in diameter concrete pile is driven 40 ft into soft clay. ME8651 Design of Transmission Systems Notes, Depart. Derivation of Closed-Form Solution for Unlined Shaft. = 351 rpm. Figure P 3. Using a conservative failure theory with a design factor of 2, determine the minimum shaft diameter to avoid yielding. diameter shaft). If S. Design Approach 2 Combinations of set of partial factors PROBLEM F5-8 The gear motor can develop 3 hp when it turns at 150 rev/min. 12. P = 32 kW = 32 × 103 W; N = 960 r. The It is required to design a bushed pin type flexible coupling to connect the output shaft of an electric motor to the shaft of a centrifugal pump. 9 piles Design pile length Hence DA1. The shaft and the sprocket have a rigid connection in the assembly. 13–1 to 13–4 Worm . 28 N-m) Force- Based on axial load exerted on shaft from miter gear (156. 8 (Beta Method) Shaft Capacity in Sand (Beta Method) 9 Vesic Tests Shaft Capacity in Sand (Practical Design) 10 Shaft Torsion of solid circular shafts, twisting moment, strength of solid and hollow circular shafts and strength of shafts in combined bending and twisting. with minimum safety factors of 1. part in the design of a sturdy and reliable product. iv) The resultant force on the shaft carrying Gear B. Then the torque in the Problem 3 A shaft made of steel receives 7. 3 Turner et al. 2 Design. Consider the interference δ=0. 1028 Mechanical Engineering Design Table A–15 Charts of Theoretical Stress-Concentration Factors K*t (Continued) Figure A–15–7 Round shaft with shoulder fillet in tension. The gear has 38 teeth, and the pinion has 24. 3. 5–3. Figure 2. 2564 calculating and designing a transmission shaft with a hardened coating of increased is based on the solution of particular problems of. 7-17 for an example of the design process. Associated parts such as gears, pulleys, and cams are attached to the shaft using pins, keys, splines, snap rings, etc. 7 Mounting of radial shaft seal in housing 58 . The shaft is sub- ject to torsion, bending, and occasionally axial  Solution. Schematic and Given Data: 20 in. For wind-power plants there are forged namely shafts and rings (Fig. HWK PROBLEMS ON SHAFT DESIGN PROBLEM 1: For the steel shafts shown below find the Moments, deflections and Sample Problems for Exam II 1. For old mine shafts, galleries may have been closed with remaining items but without particular design. 6L from the left (point A). The gear diameter is 200 mm and Fr = 0. Machine Design Problems And Solutions Machine Design Problems And Solutions ME 343: Mechanical Design-3 problems that have been solved and combining th b t t lthe best to solve your own problem • A general layout to accommodate shaft elements, eg The objective of this project is to design a safe shaft given certain dimensions of gears and bearings as well as forces acting on the shaft through the gears and the effect of fillets and keys. If one end of shaft is placed on a support and released Gyroscope falls by rotating downward about the tip of the support. Thread form: Thread form is a classification based upon the cross-sectional profile of the thread. Introduction corrosion problems disappear [12]. MOHAMMED AWAD Problem # (18) Determine the settlement of the group of point bearing piles shown. Given : N = 200 r. : Engineering Design for Engineering Design design engineer did not understand the basic physics behind the process or machine that prompted the need for a new design. The standard thread form for inch unit threads in U. Design of Shaft, Hub and Key : The diameter of shaft for flywheel is obtained from the maximum torque transmitted. The splined shafts are relatively stronger than shafts having a single keyway. 139) we will guess Substituting this guessed solution design examples in Chapter 5 illustrate the design process as well as the use of the design aids for torsional properties and functions found in Appendices A and B, respectively. High-speed shafts require not only higher shaft stiff-ness but also stiff bearing supports, machine housings, etc. Design the shaft diameter. thus, we choose d0 = 67. 6a) to determine the torque:. Example AD1 Design the A-36 steel hanging bracket so that it will carry a load of 1000 lb and not generate significant stresses in the transition from region of load application to location of the 1/4 inch diameter hole. Figure 1. 7. (iii) Transition Fit. Refer to page R - 2 for the location of the roof area to be designed. Solution : As we know,. If the allowable shear stress for the shaft is τ allow =12 ksi,determine the smallest diameter of the shaft to the nearest 1/8 in that can be used. 47 Wsolid Asolid d0 2/4 the hollow shaft has 14% greater in diameter but 53% less in weight Example 3-3 a hollow shaft and a solid shaft has same This assembly is compounded by the shaft and the sprocket. For this reason, a common approach is to size critical locations for stress, then fill in reasonable size estimates for other locations, then perform deflection analysis. Nomenclature of Spur-Gear Teeth viewed along the shaft. 0 for hinged end; n = 2. 8–9 Fig. 2 A foot valve for a pneumatic system is hinged at B. Employing Equation 6. Knowing that the allowable shearino stress in the shaft is 40 XIPa and that the radius of the fillet is r 6 mm, determine the smallest permissible speed Eng. The design of shafts in some cases, such as those for turbopumps, is dictated by shaft Sample Problem 3. First, move the branch point of the path involving HI outside the loop involving H,, as shown in Figure 3-43(a). Find the resultant of the weight and the forces exerted on the belt, and determine where the line of action of the resultant intersects the floor. UNAM and analytical solution to a wide variety of conduction problems, yet they spend little if any time on discussing how numerical and graphical results can be obtained from the solutions. The following tables used in design 14. (h)Yes. 2 A cold rolled steel shaft is design on the basis of  Design a shaft to support the attachments shown below with a minimum design factor of safety of 2. 16 in (4 mm). KEYWORDS: Shaft, fracture, fatigue, sugar cane transport, experimental stress analysis. 9 inches Applied torque, T = 9000 in-lbs Shaft Length, L = 10. Page 6. Stress and strength. Surface hardening usually only used when the shaft is being used as a bearing surface. Applying Eq. • The brake design calls for it to be able to stop in 400 feet. Machine Screws Shigley’s Mechanical Engineering Design Fig. 31 ม. 67)2 = 48. 2 mils at either coupling at the ends of the spacer shaft. 5x10-7 Ihr. If the shaft and hub are of different materials Once we have the pressure, we can use the cylinder equations to compute the hoop stresses at the interface. It is a rotating member, in general, has a circular cross-section and is used to transmit power. 30 ก. • Determine stopping torque required if wheels are 36 inches in diameter. Review Problems for Midterm 1 1. 833 kg # m2>s I axle = 1 12 (1)(0. FP. 3 Material For Friction Surfaces 66 5. 12 N) Torque- Exerted by the operating torque of the motor, through a gear ratio of 2:1 (2. □. 17m, 0. existing design to use as a starter, then the determination of the shaft layout may have many solutions. ME EN 7960 – Precision Machine Design – Contact Stresses and Deformations 7-10 Cylinders in Contact (contd. MACHINE DESIGN AND SHOP PRACTICE PROBLEMS ELEMENTS (with answers and solutions) 1. 3 Inability to Prime 22 3. m. Page  3. Use Castigliano theorem to Calculate the maximum twist angle. 1 Shaft Shaft is a common and important machine element. Sketching Root Loci (6 points) Sketch the general shape of the root locus for each of the open-loop pole-zero plots shown below. Helical gears are not as noisy, because of the more gradual engagement of the teeth during meshing. A short shaft transmits 120 Hp. 0 = 92 mein. The starting torque of the motor can be assumed to be 150% of the rated torque. VTHT, AVADI, Chennai-62 6 Wrap angle for smaller pulley, α s = 180 - 2 Sin-1 ( ) Wrap angle for larger pulley, α P17. S. 01)2 + 1(0. Power transmission assembly 2. 5 kW power at 1500 r. SOLVED PROBLEMS IN FOUNDATION ENGINEERING PROF. 02)2 + 2c 1 2 (1)(0. 2 Modeling issues Modeling is usually 95% of the effort in real-world mechanical vibration problems; however, this course will focus primarily on the derivation of equations of motion, free response and forced response analysis, and approximate solution methods for vibrating systems. 5 and Kt=1. The higher the. Compute the linear speed of a pulley 55 cm mounted on the shaft. txt) or view presentation slides online. 1 / 58. 1 lbf2 2 R FA D= = + = Use the Weibull parameters for Manufacturer 2 in Table 11-6. Solution: From Table 10. Average micro hardness, yield strength & tensile strength were 157 HV, 349 MPa, 527 MPa hence the material quality was good and failure was not due to material property. 33 The pump of Prob. The failure of a shaft due improper fastening of support was explained in [4]. 4 Spur Gear arrangement for Problem 6 Solution Data P = 3. 1. Design the shaft taking allowable stresses in tension and shear as 84 N/mm. 6a) to determine the torque: Shigley’s Mechanical Engineering Design Spur Helical Bevel Figs. c) The component weight. 2563 Torsional and bending stresses, Principal stresses in design of machine Even a static load causes cyclic stresses in a rotating shaft. These shafts usually have four, six, ten or sixteen splines. Finite Element Solution of Torsion  Find the ratio of the fully plastic torques of the two shafts for elastic-perfectly plastic material. When a stepped shaft is to be studied, direct successive integration becomes tedious. • Shafts can be non round, or can be  Although normal and shear stresses due to torsion and bending are the usual design case, axial loading may also be present and contribute to both normal and  A shaft is a rotating machine element with a long handle of a spear or similar weapon, The downtime was longer due to mechanical problems. 1). 6 Radial shaft seals diameters in accordance with ISO – 6194 57 . ◦ Static strength. 13 for maximum shearing stresses in portions AB, BC, and CD of the shaft. this branch is very changeable. Structures generally consist of walls in hollow blocks, metal dams or concrete plugs. 833 kg # m2>s speed shaft relative to the low speed shaft. 1 1 SOLUTION See solution to Problem 3. Fig. A revised design employing a larger servomotor without a speed reduction was developed and analyzed in its stead. To design is either to formulate a plan for the satisfaction of a specified need or to solve a problem. 1 We want to design a Discrete Time Low Pass Filter for a voice signal. 5 meters, circular shafts are the best choice. – Dynamic load: Example Problem 12-4: Design Methods • This design meets the criteria. 1, it is known as simple gear train. For larger notch radii, use the values of q shear corresponding to r = 0. (Example Problems) d) The diameter of a solid shaft for which the maximum shear stress is the  As the automotive drive shaft is a very important component of vehicle. 47m. (3. P 3. When the water Problem 1. 0 140 150. 2  15 พ. 0 / ( 4 2 3 tan 30 ) ( 2 . Solution: 1 6 College of Engineering - Purdue University 1. Warning: Can only detect less than 5000 charactersÐ¼Ð¾Ñ Ð½Ð¾Ñ Ñ Ñ Ð Ð¾Ñ Ð²ÐμÐ'Ñ Ðμго Ñ Ñ Ñ Ñ Ñ Ð¾Ð Created Date: 4/27/2020 1:53:19 PM Shaft Design--Example Problem Design a shaft to support the attachments shown below with a minimum design factor of safety of 2. An aluminum (shear modulus= 2. Tagged: design, file, pdf, problems, shaft. strain diagrams are supposedly/theoretically Problems and Solutions Exercises, Problems, and Solutions Section 1 Exercises, Problems, and Solutions Review Exercises 1. Therefore, as the crank is turned 10 revolutions clockwise, the entire screw will advance (move away from the crank) 10/16 inch, while rotation is up to design speed and can keep the entire unit running. 5 kHz, with 50dB attenuation; Sampling Frequency Fs 22 kHz. p. 13 Under normal operating conditions, the electric motor exerts a torque of 2. A fusion weld is a weld in which the metal surfaces have been melted in order to cause coalescence. An engine shaft has a failure rate of 0. Problem 5–63. In general, the load and resistance factor design approach (LRFD) as prescribed in the AASHTO LRFD Bridge Design Section 3. Solution Solution Reviewer: JohnDoe2016 - favorite favorite favorite favorite favorite - May 31, 2017 Subject: Solution Manual Fundamentals Of Heat And Mass Transfer 7th Edition Download solutions manual Fundamentals of Heat and Mass Transfer Bergman Lavine Incropera DeWitt seventh edition Drawing texts and Machine Design handbooks. Shaft alignment  Problem 323 A shaft composed of segments AC, CD, and DB is fastened to rigid supports and loaded as shown in Fig. Substituting this guess netted A nontrivial solution ( A … 0 ) requires that . Such shafts are known as splined shafts as shown in Figure 6. Mechanical design is a complex undertaking, requiring many skills. SOLUTION (17. 2 / 1. 2 What is meant by the term faying surface? Answer. 5 ft Answers: 2. 60 lb Grinding View HWK problems on shaft design - Solution. 7–2b and 7–2d are not neces- Bending of circular shafts August 15, 2007 21 Shaft Design Problems Step 1: Calculate the torque on the shaft from power Step 2: Find the torsional stress in the shaft Step 3: Calculate the loads coming from gears, belts or chains Step 4: Calculate the bending moment due to the acting forces. 2 Types Of Clutches 65 5. The minimum critical frequency for the shaft must be equal to or greater than 75Hz. Problems: Problem 1: Write a computer program for design of journal bearing. nax +. Both shallow (e. Solution: solution is to apply an iterative approach as shown in the design of the upper section of the bracket of example AD1. If 9. 5 Design types of radial seals 56 . Simplify the block diagram shown in Figure 3-42. GUPTA. Drive Shaft Construction Can be made of steel, aluminum, or composite material Hollow shaft (May have cardboard liner to reduce noise) Has a yoke welded to each end Universal joints are used at each end May have balance weights attached Gear Design National Broach and Machine Division ,of Lear Siegler, Inc. Figure A–15–9 Round shaft Department of Mechanical Engineering - Home δis the shaft soil friction angle. 12 in. Transform (using the coordinate system provided below) the following functions accordingly: Θ φ r X Z Y a. 3. Then eliminating two loops results in Figure 3-43(b). 5. • Geometric layout. Lecture1: Design of Shaft 18 Shaft design based on strength A i l stress Axial t ((continue): ti ) 1 α = , (λ = L / r ) ≤ 1 1 5 1 − 0 . = 2400 N —870 N —10800 N where the superscripts t and r represent tangential and radial directions, respec- This example problem is part of a larger case study. This thread form is characterized by a 60 degree thread angle and a flat crest and rounded root. EXAMPLE PROBLEMS AND SOLUTIONS A-3-1. The subject Machine Design is the creation of new and better machines and improving shaft refers not only to the diameter of a circular shaft, but it is. Refer to document KNUK-DES-CDS-189-0003 Rev 04 for Conceptual Design Statement. Keywords: Composite drive shaft; carbon/epoxy; design; modal analysis, natural frequency. 8–10 . Solution The stress in the shaft varies linearly, such that Eq. L Mdt = I axle v = 0. solution for the torsion problem of a shaft of arbitrary cross section. The vertical face is made from sheet metal which has a mass of 25 2kg/m . DESIGN OF REPLACENENT UPPER ROOF Introduction As part of the works at South Kensington Station Asset Stabilization Program there is a requirement for a design of replacement upper roof. The specifications are: Passband Fp 4 kHz, with 0. adding new rollers cannot always be the solution or rather not. Levers: 11. Combining two blocks into one gives Figure 3-33(c). 8 2 3 tan 30 ) 3600 Q kN m High-speed shafts require not only higher shaft stiff-ness but also stiff bearing supports, machine housings, etc. The early ideas of FEA date back to a 1922 book by Hurwitz and Courant. shaft shown, the shear stress is not to exceed 110 MPa. The symbols used in GDT create manufacturing and inspection definitions with a minimum of confusion and misinterpretation. , and friction coefficient, α=0. existence of fracture problems in the change-of-section. 10 I) 1. Machine elements such as gears, pulleys (sheaves), flywheels, clutches, and sprockets are mounted on the shaft and are used to transmit power from the driving device (motor or engine) through a machine. It identifies and solves the problem by using the modeling and For spacer shafts the table gives the maximum allowable offset for 1 . 4–5 Mohr's Circle Practice Problems 157 12–9 Spreadsheet Aid for Shaft Design 533 Axiomatic Design Solutions, Inc. Design of a Flywheel: Key and Keyway Failure modes A key has two failure mechanisms: It can sheared off It can be crushed due to the compressive bearing forces. 2 = 1. PROBLEM 3. Shigley’s Mechanical Engineering Design Standard shaft sizes Standard shaft materials Design of shaft based on strength 8. A complete shaft design has much  Shaft Design. Engg. diameter of the shaft or the internal torque varies along the length of the shaft. One end is rigidly fixed to a support. • Cross-sections of noncircular (non-axisymmetric) shafts are distorted when subjected to torsion. Variable stator vanes HP compressor Mechanical challenges of turbojet technology SOLUTION Ans. 5–11a. Worm gears convert the motion through 90o and so on. 1. Solution. Determine the pressure angle for the new center distance. take other dimension as. 1 Shaft Rotation 19 3. 3)2 d = 0. The strain is that much that the hollow shaft will deform plastically. • Helical gears have teeth inclined to the axis of rotation. A 450 mm diameter pulley mounted on the shaft as shown in Figure 3 has ratio of belt tensions of 4. A mass of 2 kg is placed on C at a radius of 30 mm and rotated 120o from the mass on B. As will be seen, this task in itself is not trivial, and to this end mathematical software packages (in particular, Solution: 3 3 3 From voltage division 12 3 V 39 = = 1 A 3 then v v i §· ¨¸ ©¹ The power absorbed by the resistors is: 1 6 1 3 1 3 12 W2 2 2 The power supplied by the source is (12)(1) = 12 W. 48 Assessment Task 5 Answer the problem with appropriate solution and diagram if necessary. In Fig. 87 The stepped shaft shown must transmit 45 kW. Givens: shaft is proportional to the applied torque and to the shaft length. G R >1 The easiest solution is to adjust the stiffness and inertia properties of one shaft to that of an equivalent shaft running at the same speed as the other shaft. A solved problem 3-6 for determining the LRFD and ASD tensile design strength for W section, the shear lag is discussed Print Friendly, PDF & Email. Drive Shaft Construction Can be made of steel, aluminum, or composite material Hollow shaft (May have cardboard liner to reduce noise) Has a yoke welded to each end Universal joints are used at each end May have balance weights attached H. r 1 = 0. 8. 9 Radial shaft seals under the pressure 59 effective than design modifications done later on. ) foundations are addressed. 10 Answers to SAQs Using equivalent bending moment for designing the shaft is same as using maximum calculate the diameter of the shaft. 15E14 cycles to failure Shaft 3 (Diameter=3/4”) design for lightly loaded structures, and Chapter 18 covers foundation design for marine structures. 2561 learn from similar problems that have been solved and combining the best to solve other problems. is the Unified (UN) thread form. For a stepped shaft, we recommend an energy method, such as Castigliano’s second theorem, if the deflection or slope is required The solid shaft of radius c is subjected to a torque T,Fig. Torque caused by gravitational force acting on COM. shaft design shaft shown, the shear stress is not to exceed 110 MPa. C2 10. 696 kg and 1. 8 2 3 tan 30 ) 3600 Q kN m design found in Appendix I of NGSS: Define, Design, and Optimize (2013): Define: Attend to a broad range of considerations in criteria and constraints for problems of social and global significance. 80. , spread footings) and deep (piles, shafts, micro-piles, etc. What do you understand by machine design? Draw section of fast coupling having shaft diameter of 20 mm. 6 MPa o b a a N 1 = 1. 15 0. 2563 Home › Forums › Ask BeBoua: Questions and Answers › Shaft design problems pdf file. transmit motion from one shaft to another, parallel, shaft. 6 - 0. Shaft Design. 01 in. (ii) Interference Fit. Problem Set 8 Chapter 17 Shafts Selected Problems Download Free PDF. radiol forces transmitted through the gears to the shaft to be determined as — —39m N follows. 10) Problem set #2 Solutions Problem 8. 5: Interference fit with hollow shaft A gear is to be press fitted over a hollow shaft of 20 mm diameter. A shaft has 4 discs A, B, C and D along its length 100 mm apart. tex 24/1/2007 9:28 Page9 Solutions to Chapter 1 Problems 9 O C τ σ τ max τ max P 1 P 2 Q 1 (σ x, τ xy) Q 2 (s y, τ xy) B (σ I) Fig. 2 Ft. C1 12. It was  11 ส. Access free design and analysis of composite drive shaft using ansys. This would solve the problem and would communicate the design needs to the manufacturer and the inspector. Clutch give in machine design practice is to superimpose solutions from beam tables if the beam or shaft has a constant cross section. of Mech. 15±0. The function of the two shafts reverses on a 4 hour cycle and each shaft is furnished with twin burners. 1 The forging for wind-power plant 2. Shigley’s Mechanical Engineering Design Spur Helical Bevel Figs. V-Belt drive. PROBLEM F5-8 The gear motor can develop 3 hp when it turns at 150 rev/min. (From the solution to the preceding problem we found that n c = 2949 rpm for a 2 in. An integrated method of. The term "shaft" applies to rotating machine members used for transmitting power or torque. 124) To find a solution to the one-degree-of-freedom problem, we “guessed” a solution of the form. • Bevel gears have teeth formed on conical surfaces and are used mostly for transmitting motion between intersecting shafts. Mallikarjuna Reddy et al. Finf the masses to be placed on A and D at a radius of 25 mm that wil produce total balance. 1 DESIGNS OF SHAFT COUPLINGS . for a pressure vessel of the EPR reactors Homework solutions for test 2 HW for Lecture 7 22. from cartesian to spherical polar coordinates 3x + y - 4z = 12 b. 8 = 1. is the Shaft Power (02) (iii) Overall Efficiency: ( ) It is the ratio of the power available at the shaft to the power supplied at the inlet of a turbine. Find: Determine the diameter of the  Squaring both sides of equations. g. ) • The equations for two cylinders in contact are also valid for: – Cylinder on a flat plate (a flat plate is a cylinder with an infinitely large radius) – Cylinder in a cylindrical groove (a cylindrical groove is a cylinder Solution. 22, 4400 kJ/h 6–50 A heat pump used to heat a house runs about one third of the time. F lb F lb F V F d d t m d 421 (146 ) 600 SOLVED PROBLEMS IN FOUNDATION ENGINEERING PROF. 22. The design of shafts in some cases, such as those for turbopumps, is dictated by shaft OPTI 222 Mechanical Design in Optical Engineering 68 Torsion (Example Problems) Torsion - Problem 1 Specifications: Inner diameter, d, = 0. 68. ย. When it comes to design of a mine shaft, there are two options: circular shafts and horizontal shafts (Figure 1, Figure 2). Geometric Layout. ◦ Fatigue strength. 14). Results for T- and L-type intersection Analysis in TSw2_Nonlithophysal Unit. If the gear has 40 teeth, you have a 40:1 gear ratio in a very small package • Wormgearsare used when large gear reductions are needed. 3 Define the term fusion weld. Torque and force on the gear are constant. and economic design solution with some useful advantages over other. A short history of FEA 1888-1972: b in Lublintz Germany design engineer did not understand the basic physics behind the process or machine that prompted the need for a new design. pdf), Text File (. ii) The torque that each shaft is required to transmit. Shigley’s Mechanical Engineering Design Shaft Design for Stress Shaft Stresses Figure 6–21 Page 296 Notch-sensitivity curves for materials in reversed torsion. Shigley’s MED, 10 th edition Chapter 11 Solutions, Page 7/28 11-19 From the solution to Prob. • Deflection and rigidity: bending  Get Shaft Design on Strength Basis Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. m PROBLEM 3. The gears are represented by their pitch circles. Springs: The following tables used in design 16. 5 The shaft must transmit 2 hp at 1725 RPM. For example, a machine running at 1800 RPM with 12 inch of spacer shaft length would allow a maximum offset of: 0. 2 2 Force of elasticity = Strain Area change in dimension = Degree of Deformation = orginal dimension in Pa (unit of Pressure) 1 Pa = 1 N/m Area = r = Stress F kx Modulus Stress Strain Measured π == 2 Stress Force Maximum Stress = Strain Minimum Area D ( ) **** You NEED THIS FOR 2 problems 2 Strain FL Y AL F A FL Y L AL L F Shigley’s Mechanical Engineering Design Fig. Then the design algorithm is: 1) solve the problem for dimensions, 2) use the stress Shaft Materials Shafts are commonly made from low carbon, CD or HR steel, such as AISI 1020–1050 steels. dt dL τ= The torque causing the downward rotation (fall) changes angular momentum of gyroscope. 15 n = 8. FEA showed the remarkable stress High-speed shafts require not only higher shaft stiff-ness but also stiff bearing supports, machine housings, etc. 8-12 is used to pump water from reservoir A to reservoir B. 17-28. If The second problem is a problem of system structure modelling and selection of appropriate mathematical tools to find the internal forces. 1 Standard Progression 54 4. SOLutiOn First resolve the 4-lb force into components P and Q, where Q = ∞ = ( )sin. Solution: The shaft consists of three portions AB, BC, CD each of uniform. 6 for ends p partlyy restrained,, as in bearingg , L = shaft length syc = yyield stress in compression p geometry information for the entire shaft. Avoid erasure and observe neatness. 2 x 103 W NA = 625 rpm zA = 40 teeth zB = 70 teeth zC = 50 teeth m = 5 mm = 200 for infinite life of the shaft. They are of simple design and Practical solution of torsional vibration problems. 25. Circular shaft is the most commonly used one. The shaft is supported on bearings and it rotates a set of gears or Shaft Design--Example Problem Design a shaft to support the attachments shown below with a minimum design factor of safety of 2. Torsion. 93%  What does it mean shaft design ? • Material selection. 2081 kg # m2 A B 300 mm 300 mm C assembly is free to turn about the handle and socket, Ans: L M dt = 0. 20 0. 4 64) 30 mm æ125 - = 1666 0 AO 0. The materials are used by the Lab to verify the Contractor’s proposed mix design. A steel shaft 1. The shaft has transmitted the torque to the sprocket and it is connected to the new shaft by the chain. Use the given (as answer in Problem #S3) maximum normal stress at point Q to estimate the maximum shear stress. Download these Free Shaft Design on Strength  consists of designing a shaft assuming one support reaction at each bearing. Use G = 83 GPa. the shafts on which the gears are mounted may move relative to a fixed axis. If the COP of the heat pump is 2. 015 m r 2 = 0. − − + + + − + = i i i i o o o o R r R r E R r R r R E R p r n n d 2 2 2 2 2 A) The ID of the hub is tensile: B) The OD of the shaft is compressive: 2 2 2 2 r R r R p o o o c − + s design engineer did not understand the basic physics behind the process or machine that prompted the need for a new design. The pump is installed in a 2-mi long, 12-in pipe joining the two reservoirs. The use of. The tensile stress in the plastic regime varies much less with the strain than in the elastic regime. Problem 2: A full journal bearing of width 20 cm with a journal of diameter 10 cm has diametric clearance of 100 micro meters. 5 In Eq. 8 Mounting of radial shaft seal on shaft 59 . Figure 6–20 Page 295 Notch-sensitivity charts for steels and UNS A92024-T wrought aluminum Machine design shaft problems with solutions Author: Poganu Yarajamido Subject: Machine design shaft problems with solutions. 5 Solved Problems 47 4 Design Of Gear Boxes 54 4. 8, determine the power the heat pump draws when running. 5 ft 4. For shaft 2, ~~6'~ + b2& + T3 = T2 (5-64) where T, is the torque transmitted to gear 2 and T, is the load torque on gear 3 due to the rest of OPTI 222 Mechanical Design in Optical Engineering 68 Torsion (Example Problems) Torsion - Problem 1 Specifications: Inner diameter, d, = 0. 07 kN This force acts along the strut AC, at an angle of 33. Design: Break a major problem into smaller problems that can be solved separately. Solution: 1 6 Unique Design - Extreme Features Open design prevents belt heating problems Rigid design with ventilation Available in 3, 4 and 5 plate versions Easy settings and maintenance 35mm clutch shaft Complete "clutch — gear box" solutions available "Big Clutch" - On Board Type Lock-up function soon Example Frame Problem 1 Calculate and draw the axial force, shear force and bending moment equations for the given frame structure. Deflection and rigidity. 8. T Solution: Denote the reaction torque applied at point B as TB. faults and act when needed. S. This problem is illustrated by the two examples of Fig. 5 n = 8. Failure of an elevator shaft due torsion-bending fatigue was given in [3]. 83 Mg/m3. The complexity of the subject requires a sequence in which ideas are introduced and iterated. For shaft 2, ~~6'~ + b2& + T3 = T2 (5-64) where T, is the torque transmitted to gear 2 and T, is the load torque on gear 3 due to the rest of Problem #S6 Consider the loading situation shown in Problem #S3. See the solution for Prob. 16. The shaft below has length L, Torsional stiffness GJ and torque T is applied at point C, which is at a distance of 0. A-3-2. Fatigue properties don’t usually benefit much from high alloy content and heat treatment. Tables and Graphs : 13. 17: Assume that both threads are right-handed. Pile, and drilled-shaft load testing I. σ0 = F/A, where A = πd2/4. 8 x 10 10 Pa) rod is 25 mm in diameter and 50 cm long. The YV. High-speed shafts must be carefully checked for static and dynamic unbalance and for first-and second-order critical speeds. Therefore, as the crank is turned 10 revolutions clockwise, the entire screw will advance (move away from the crank) 10/16 inch, while heat further with the limestone charge in the preheating shaft hence preheating the charge. We know that the maximum. , low-strain impact integrity testing, ultrasonic cross-hole testing, coring, thermal integrity testing) 71. The figures below (Figures 1 and 2) illustrate a typical gas generator in cutaway and schematic format. 3 Worm Gear 43 3. Determine the fraction of T that is resisted by the material contained within the outer region of the shaft, which has an inner radius of and outer radius c. Known: The shaft is aluminum and the critical speed of rotation is given. shaft is proportional to the applied torque and to the shaft length. Answers: a) 11460, b)13860 6 ft 4. ; P = 20 kW = 20 × 103 W; τ = 42 MPa = 42 N/mm2 Let d = Diameter of the shaft. 75 inches in diameter transmits 40 Hp at 1800 rpm. The temperature profile of the kiln was monitored from four positions along the kiln shaft from the top of the kiln located at 0. The shaft may be hollow or solid. 05 mm. Numerous solutions such as flywheels, harmonic overcoming the problems. Some gear shaft failures have been reported and common causes of failure have been high stresses, friction or fretting [5-7]. Taking the dimensions, forces and other determining factors, the ultimate goal is to determine the shaft material, design stress and diameters along the Drilled Shaft Concrete Mix Design Contractor must submit a concrete design mix along with materials, including water reducer, to Central Materials Lab at least 40 days prior to construction, for approval. _____ 7-6 If students have access to finite element or beam analysis software, have them model the shaft to check deflections. Flat Belt Drive. (Answers 0. 3-79, RAz = 54. Design the coupling and specify the dimensions of its components. Thread series: Solution: 3 3 3 From voltage division 12 3 V 39 = = 1 A 3 then v v i §· ¨¸ ©¹ The power absorbed by the resistors is: 1 6 1 3 1 3 12 W2 2 2 The power supplied by the source is (12)(1) = 12 W. J r T τ = T = torque on the shaft H. 025 m What is most nearly the l argest torque that can be applied? (A) 1700 N-m (B) 1900 N-m (C) 2300 N-m (D) 3400 N-m 6. 7–2c a fanshaft is to be configured. Refer machine design data book for required data if needed. considering the problem of developing a solution to the following homogeneous version of Eq. 9 / 1. 8 kg is placed on B at a radius of 20 mm. The aim of this study is to find the best shape for a fillet in a shouldered shaft or plate so that the maximum equivalent stress has the lowest possible value. decision making to conform to certain desired outcomes/solutions to problems. shafts may have been closed before the shaft was backfilled in order to avoid spreading of the backfilling material in the galleries. Simple Gear Train When there is only one gear on each shaft, as shown in Fig. The compressor module, combustor module and turbine module connected by one or more shafts are collectively called the gas generator. Waseem Younis of the shaft. 00 inches Material = 1026 DOM steel tubing. A Textbook of Machine Design by R S. iii) The forces on each of the gears, shown on a free body diagram. Extensive relationships need to be subdivided into a series of simple tasks. Mechanical Design in Optical Engineering. 1 Design of Shafts. and shaft overlap. (0, 8) (3, 5) (28, 0) x 1 x 2 cost $4000 time 16h cost $8500 time 13h The entire line segment between the two optimal points represents possible solutions. In general, the load and resistance factor design approach (LRFD) as prescribed in the AASHTO LRFD Bridge Design The second problem is a problem of system structure modelling and selection of appropriate mathematical tools to find the internal forces. Y. Shafts are designed on the basis of torsional shear stress induced because of the torque to be transmitted. It consist of static structural analysis of six cylinder engine crank shaft. (3) and (11), we arrive at different solutions for the outer diameter in equations (10) and (16). exerted on shaft from the miter gear (4. 29 Example Frame Problem 2 Solution n° 1: concept of variable stator blades • Design of reliable airflow control systems • Prevention of air leakage at the pivots of the vanes at high pressures (temperatures). inch of spacer shaft length. Please print out this page and attach it with your solutions to other problems. KHURMI AND J K. Each time the shaft spins one revolution, the gear moves one tooth forward. Root Locus is always symmetric about the real axis. If necessary combine the forces. 1 A solid steel shaft in a rolling mill transmits 20 kW of power at 2 Hz. 4 พ. Solution Applying Eq. 4-1 Use current division to determine the currents i 1, i 2, i 3, and i 4 in the circuit shown in Figure P 3. 4, the center distance is machine-design-problems-and-solutions 1/6 PDF Drive - Search and download PDF files for free. 19, we may set up two simultaneous equations with two unknowns (the unknowns being K and n), as log (50,000 psi) = log K + n log (0. Where, C=900 psf. Givens: 48 Assessment Task 5 Answer the problem with appropriate solution and diagram if necessary. P-323. strain diagrams are often used to describe the material behavior Stress vs. The and shaft overlap. 25 for fixed end n = 1. Material Selection. 1 Introduction 65 5. Determine the smallest safe diameter of the shaft if the shear stress τ w is not to exceed 40 MPa and the angle of twist θis limited to 6°in a length of 3 m. 2 kW = 3. The outer diameter value, d,  Finally, we will conduct a cost analysis to come up with solutions and to estimate the amount of money that we will save when choosing the best material. Now assume that the center distance is increased by 0. Þ o. • Determine stopping force required. L T ∝ ∝ φ φ Shaft Deformations • When subjected to torsion, every cross -section of a circular shaft remains plane and undistorted. While designing shaft on the basis of torsional rigidity, angle of twist is given by? · 2. 5 ft worm gear, a threaded shaft engages the teeth on a gear. Knowing that a = ∞28 , determine the moment of the 16-N force about Point B by resolving the force into components along ABC and in a direction perpendicular to ABC. A mass of 0. 25 onc r/d jo. The solutions shown in Fig. 7–2. Finally, Appendix C provides supporting information that illustrates the background of much of the information in this design guide. 15 n n = 10. Step-by-step solution. ; Tmax = 1. (i) OB=σI, BC is the radius of the circle which is equal to τmax and EE C128 / ME C134 Spring 2014 HW6 - Solutions UC Berkeley (g)No. The Material of content of shaft was found to be standard. A gear can be defined as a toothed wheel which, when meshed with another toothed wheel with similar configura-tion, will transmit rotation from one shaft to another. Determine: a) the torsional shear stress for an element on the shaft surface. 4-1. For Eq. The third problem is the most complicate because its solution lies beyond the scope of shaft mechanics and Rules requirements. A 32-lb motor is mounted on the floor. Example Problem 16-4: Torques and Forces on Clutches and Brakes • A truck has total weight of 40,000 lb and is traveling 60 mph. Power Screw : Tables and Graph required for design of power screw 12. Solution For this problem, we are given two values of ε T and σ T, from which we are asked to calculate the true stress which produces a true plastic strain of 0. Integrity testing methods (e. Problem 1. We know that torque transmitted by the shaft  (d)The material of the pin is same as that of shaft and key. Solution: S P H v A L m v A = Pressure area S is the settlement of the clay layer Note; Q is used instead of P in the following equations 2 1 77 . 82 N-m) o 2 2 1/ 2 3 [(8 ) 48 ] 4 M Fd T a d = 25. • Stress and strength: static and fatigue. Once a problem is identified, it will usually yield to an unending barrage of creative thought and analysis. 2 Excessive Discharge Pressure and/or Change in Fluid Viscosity 20 3. 8 dB ripple; Stopband FS 4. 8–11 . Find: Determine the diameter of the steel shaft that produces an acceptable critical frequency. 4 kN m on shaft AB. An aluminum shaft with a constant diameter of 50 mm is loaded by torques applied to gears attached to it as shown in Fig. Deflection of the shaft, both linear and angular, should be checked at gears and bearings. 4 Design Procedure For Worm Gear: 45 3. • Cross-sections for hollow and are problems in fatigue [2]. The absolute viscosity of shaft`s design. 4 Design Of A Disc Or Plate Problem 10. Improving performance and increasing throughput of an industrial process or hot gas fan is a design objective often limited by heat. The design also affects the friction present in the transfer. 2. Shear stress induced in shaft for transmitting torque, T is given by, Where T = Twisting moment (or torque) acting upon the shaft, 90 PART onE Principles of Design and Stress Analysis The total force, RA, can be computed from the Pythagorean theorem, RA = 3RAx 2 + R Ay 2 = 3(40. As this covers overall problems of losses in energy, it is known as overall efficiency. The questions that should be asked continuously during the design phase are: The design of the gear teeth also affects the relative position of one gear to another. Regarding the shaft alignment design and implementation efforts by the section dedicated to alignment problems and their solutions. It is most easy formalized problem of three mentioned above. 9 = 1. 1 mm [in practical design, d0 = 70 mm] (c) the ratios of hollow and solid bar are d2 / d0 = 67. The shield used with the shaft has a failure rate of 2. 14 Whollow Ahollow (d2 2 - d 1 2)/4 CCC = CCC = CCCCCC = 0. [6] has work on Design, Analysis and Optimization of a 6 cylinder Engine Crank shaft This paper deals with; the problem occurred in six cylinders four stroke engine crankshaft. The 1 in 3. generated) in shaft and bearing calculations is huge. Sample Problems for Exam II 1. 2081(4) = 0. P. 2 Design Procedure For Bevel Gear 40 3. 6. ) If a complication such as a stress concentrator exists, then a design problem may become iter-ative if initially we do not have the shaft geometry from which to determine the stress concentra-tion factor. 0: Typical Problems and their effect on Rotary Lobe Pumps 19 Detailed look at the most common problems advising causes and solutions. Depending upon the type and accuracy of motion desired, the gears and the profiles of the gear teeth can be PROBLEM 3. Shigley’s Mechanical Engineering Design Design of Shaft A shaft is a rotating member usually of circular cross-section (solid or hollow), which transmits power and rotational motion. The design speed is equal to the speed of shaft AD , F ( ) 10 280 560 rev/min D i 5 C d n n d = = = ( )() 6 High-speed shafts require not only higher shaft stiff-ness but also stiff bearing supports, machine housings, etc. You may assume that there are no axial loads and that the material selected will be steel with the following properties: S ut = 65 The objective of this project is to design a safe shaft given certain dimensions of gears and bearings as well as forces acting on the shaft through the gears and the effect of fillets and keys. So, you can see that fits depend upon the actual limits of the hole and or shaft and can be divided into three general classes : (i) Clearance Fit. Solution: We know that the torsional moment of the shaft. Mean stress, . Determine the design center distance. Because of their circular shape, Gyroscope: wheel fixed to shaft and free to spin about shaft’s axis. Shear Force And Bending Moment Diagram: For simple beams, support reactions for statically determinant beams, relationship between bending moment Hence equating design actions and design resistances for n piles: DA1. 7° above the OPTI 222 Mechanical Design in Optical Engineering 68 Torsion (Example Problems) Torsion - Problem 1 Specifications: Inner diameter, d, = 0. 9 Radial shaft seals under the pressure 59 shaft`s design. b) The angle of twist, θ. motion in either mode of actuation. (3. You may assume that there are no axial loads and that the material selected will be steel with the following properties: S ut = 65 Problem Set 8 Chapter 17 Shafts Selected Problems Download Free PDF. Chain drive : Tables used in chain and sprocket design 15. Lecture 5 Shaft Design With Solutions - Free download as PDF File (. Knowing that each shaft is solid, determine the maximum shearing stress in (a) shaft AB, (b) shaft BC, (c) shaft CD. Answer. PROBLEM 5-35 The 25 mm diameter shaft on the motor is made of a material having an allowable shear stress of τ allow Problem 1. For a stepped shaft, we recommend an energy method, such as Castigliano’s second theorem, if the deflection or slope is required design for lightly loaded structures, and Chapter 18 covers foundation design for marine structures. The allowable shear stress of the shaft is 420 MPa. 0 lbf, RAy = 140 lbf ( ) 1/2 54. 7 Assume two meshing gears have a diametral pitch of 6 and a 20˚ pressure angle. For this gear train system, we can obtain the following equations: For shaft 1, where T,,, is the torque developed by the motor and TI is the load torque on gear 1 due to the rest of the gear train. b) The maximum shear stress at point Q. Estimate the number of shafts and shields that must be replaced annually. C2 controls the DA1 design and the number of piles required is 9. Solution: For the solid shaft. Ky = 1 + 2 x 2 = 5. The journal rotates at 1200 rpm. EE C128 / ME C134 Spring 2014 HW6 - Solutions UC Berkeley (g)No. Determine: a) The maximum shear stress, τ. 2 Solved Problems 59 5 Design Of Cam Clutches And Brakes 65 5. 52 kg) 2. 22. Use the ASME equation when Kb= 1. Solution-1-H6739. KEY & SOLUTIONS . For example bevelled gears allow the axis of one gear to be inclined to the axis of another. Stress concentration factor, k = 1 + 2. If a given company has 5000 engines with these shafts and shields and each engine operates for 350 days of useful life. The design of shafts in some cases, such as those for turbopumps, is dictated by shaft It is required to design a bushed pin type flexible coupling to connect the output shaft of an electric motor to the shaft of a centrifugal pump. The shaft must transmit 2 hp at 1725 RPM. Draw neat sketch of the coupling. According to  Design a sleeve and cotter joint to resist a tensile load of 60 kN. 16 28 7 5115 N N Then M r B Design Space If there were only one point that minimized both cost and time, obviously that would be the solution; but often, there are different optimal points for each objective. Considerable difficulty was encountered in obtain- ing the solution to the two-point-boundary-value-problem which describes the optimum stepped shaft. 0 0 4 4 λ λ 2 s yc α = 2 , λ > 115 π nE n = 1. When the distance between the two shafts is small, the two gears 1 and 2 are made to mesh with 6. Most nearly, what Problem 1. 1 No Flow 19 3. The faying surfaces are the contacting surfaces in a welded joint. 13. The motor delivers 20 kW power at 720 rpm. (10) Module – III 4. The material of the horizontal base has a mass of 40 kg/m2, and the steel shaft has a density of 7. The adjusted parameters can be then used with the simple expression for f n Inertia 1 turning at N1 Inertia 2 turning at N2 Inertia 1 PROBLEM 3. If the shaft should be deep and shaft diameter is supposed to be more than 4. 4 Cavitation 22 Sometimes, keys are made integral with the shaft which fit in the keyways broached in the hub. from cartesian to cylindrical coordinates y2 + z 3. 1 Clearance Fit In clearance fit, an air space or clearance exists between the shaft and hole as shown in Figure 3. The design of shafts in some cases, such as those for turbopumps, is dictated by shaft give in machine design practice is to superimpose solutions from beam tables if the beam or shaft has a constant cross section. There are two bends in the pipe (r=D =1:0), and two gate valves are open when pumping. Example - 1. Development of free forges abroad For forging of the largest forged pieces, e. Hexagon-Head Bolt and shaft which is purely mechanical and hence mechanical efficiency. Locate the center of mass of the bracket-and-shaft combination. τ0 = Tc /J, where c = d/2 and J = πd4/32 . If not, solve a simpler version of shaft for deflection. Design of Shaft Shafts form the important elements of machines. What is the importance of Machine Design for engineers? Thus they differ from key joints which are used to fasten shaft shaft. 4. 6 piles DA1. Taking the dimensions, forces and other determining factors, the ultimate goal is to determine the shaft material, design stress and diameters along the 7-5 This is a design problem, which can have many acceptable designs. Chapter 12 covers shaft design. 30 Prom ---. and, based on force allowable from Example Problem 12-3, would this be an acceptable design if a factor of safety of 2 were desired? • Use surface speed and force transmitted from Example Problems 12-2 and 12-3. The machine design employed a timing belt speed reduction in its drive train, which had an unintended deleterious impact on system stiffness. Figure A–15–9 Round shaft Problem #S6 Consider the loading situation shown in Problem #S3. 2560 PDF | Shaft is a critical and standard component which is used normally in Since most shaft problems incorporate gears or pulleys that  Shigley's Mechanical Engineering Design (d) Solution uses sleeve bearings, a straight through shaft, locating collars, problems from twisting. For bronze, G = 35 GPa; aluminum,  In some problems with more general states of stress, design is that of a round circular shaft transmitting power. . NB's high accuracy technology answers various shaft A larger diameter shaft can overcome problems in maintaining precision functionality when a high or. 5 x 1 0-7/hr. FEA showed the remarkable stress Mechanical design is a complex undertaking, requiring many skills. 2/14/2006 ACR/ME209/2006 Design of a Flywheel: Shaft The diameter of the shaft should be large enough to prevent from failure due to the torque on it. Tables and Graph used in design: 10. 15E14 cycles to failure Shaft 3 (Diameter=3/4”) Shigley’s Mechanical Engineering Design Spur Helical Bevel Figs. ค. identify secondary machine problems which can indicate inaccurate shaft alignment. Machine Design Questions and Answers – Shaft Design · 1.