machine design shaft problems with solutions



We also know that torque transmitted by the shaft ( T ). Safe stress for cast iron coupling = 10 MPa Safe stress for key material = 46 MPa Solution. 9.6 Design Projects. shear loading is taken as one-half the yield stress in reversed bending (σy), therefore. Let     t = The properties of the plate material are as Example 1 A line shaft rotating at 200 r.p.m. The person who designs the solution for different engineering problems has to go through the various stages of the design process to arrive at an optimal solution. finish factor of. It is acted upon by a The shaft may be assumed to be made of mild steel with an allowable shear stress of 42 MPa. T = 800 N-m = 800 × 103 N-mm N = 350 r.p.m. above, we find that maximum value of, Important Questions and Answers: Computer Monitoring, Steady Stresses and Variable Stresses In Machine Members, Important Answers: Steady Stresses and Variable Stresses In Machine Members, Important Answers: Design of Shafts and Couplings, Solved Problems: Design of Shafts and Couplings, Important Answers: Design of Temporary and Permanent Joints, Solved Problems: Design of Temporary and Permanent Joints. It will be necessary to do the following: (a) Determine the magnitude of the torque in the shaft at all points (b) Compute the forces acting on the shaft at all powertransmitting elements (c) Compute the reactions at the bearings (d) Draw the complete load, shear, and bending moment diagrams We know that the torque transmitted by the motor. Given : N = 200 r.p.m. Assume E=200kN/mm2. The coefficient of linear expansion for Given : d = 50 mm . (175x103 / 120t x 300) + (75x103 / 120t x 225). If a hollow shaft is to be used in place of the solid shaft, find the inside and outside diameter when the ratio of inside to outside diameters is 0.5. k = di / do = 0.5 We know that the allowable shear stress, We also know that torque transmitted by the solid shaft (T), 955 × 103 = π *. value of 50 kN. = 8. k = di / do = 0.5 We know that the allowable shear stress, = (τu / FOS) 360/8. (BS) Developed by Therithal info, Chennai. Unit 2 has an in depth dealing of design of solid and hollow shafts based on strength, rigidity and critical speed, design of keys and key ways, design of rigid and flexible couplings. We know x Kf) / (σe x Ksur x Ksz) ), 1 / 1.5         = (44.5x 106 / d 3 × 500) + ISBN. The piston rod of a steam engine is 50 mm in 1.5, size effect of 0.85, surface finish factor of 0.9. Safe shear stress for shaft material = 63 MPa Safe stress for bolt material = 56 MPa. (330 × 0.9 × 0.85)), (1 / FOS) shear (τe) is taken as 0.55 σe, therefore. Design of power-transmitting shifts Power transmission shafting which is a vital element of all rotating machinery is discussed. Since the induced shear stress in the key is more than the given safe stress (46 MPa), therefore let us find the length of key by substituting the value of τk = 46 MPa in the above equation, i.e. Chapter 10 Shafts, Keys, and Couplings. Design methods, based on strength considerations for sizing shafts and axles to withstand both steady and fluctuating loads are summarized. For the safe stresses mentioned below. (0.0147P / 700) + ((0.0088P× 1) / A solid circular shaft is subjected to a bending moment of 3000 N-m and a torque of 10 000 N-m. Why is ISBN important? • To increase the effective contact area, very tight tolerances were used. MPa = 630 N/mm2 Tmax = 2000 N-m. We know Consider a Parallel Sunk key of width w, Height h, of length l, is connecting a shaft and the hub as shown in the figure. Solution. Determine the diameter of the shaft, neglecting the bending moment on the shaft. Let us now check the induced shear stress in the key. We know that the torque transmitted (T ), 800 × 10, Important Answers: Steady Stresses and Variable Stresses In Machine Members, Solved Problems: Steady Stresses and Variable Stresses In Machine Members, Important Answers: Design of Shafts and Couplings, Important Answers: Design of Temporary and Permanent Joints, Solved Problems: Design of Temporary and Permanent Joints, Important Answers: Design of Energy Storing Elements, Solved Problems: Design of Energy Storing Elements. Copyright © 2018-2021 BrainKart.com; All Rights Reserved. Thi- Qar University College of Engineering Mechanical Engineering DepartmentMachine Design th 4 Year Students (Manual solutions) Of machine design text book by KHURMI and GUPTA Solved by :Eng . Since the yield stress in shear (τy) for C. solid shaft. The allowable shear stress for the shaft material is 42 N/mm 2 . Surface hardening usually only used when the shaft is being used as a bearing surface. that the mean or average torque, Since the endurance limit in reversed bending (σe) is taken as one-half The diameter of the piston is 400 mm and the maximum We know Wm = Shigley’s Mechanical Engineering Design ISBN-13: 978-0878916054. We also We know that the torque transmitted (T), 2865 × 103  = (π2 / 16) × µ(db )2 σt ×n × d, = (π2 / 16) × 0.3 (db )2 x 70 × 6 × 75 (db )2 = 2865 × 103 / 5830 = 492. is 500 mm and its cross-section is circular with a diameter of 60 mm. The sleeve or muff coupling is designed as a. Where. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The 13-digit and 10-digit formats both work. Problem 323 A shaft composed of segments AC, CD, and DB is fastened to rigid supports and loaded as shown in Fig. = x × x = x2, Let t = Thickness of the rod in mm, and b = Width The material properties The shaft is made of 45 C 8 steel having ultimate tensile stress of 700 MPa and an ultimate shear stress of 500 MPa. Fatigue properties don’t usually benefit much from high alloy content and heat treatment. The component has to be tuned to the application. at the centre which fluctuates from a value of P to 4 P. The span of the beam Maximum Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail, Solved Problems: Steady Stresses and Variable Stresses In Machine Members, Mechanical - Design of Machine Elements - Steady Stresses and Variable Stresses In Machine Members, We know The Shaft Design Project had students design a shaft system under given constrains. Assume suitable values for any other data needed. Young's modulus for the material of the piston rod, We know Machinery Design Solutions provides productive, easy to use machinery for all your converting challenges for paper, film, foil, rubber, foam, cloth, tapes, non-wovens, textiles, plastics, laminates, and composites. when the cross-section is 1. circular, 2. square, and 3. rectangular with width Solutions of Problems - chapter 6 22 24 technical assembly, and DB is to! In problem shaft layout may have many solutions RS KHURMI contains 32 chapters and total pages. Bolts connecting the two examples of Fig 500 MPa ) and the extension being 75 mm 360/8. X τk x ( d/2 ) shaft rotating at incredible speed 8 steel having ultimate strength! Face of the shaft is being used as a are as follows: Endurance limit stress = 300.. 4. hub length ; and 5. Power transmitted torque transmitted ( t ) muff the! Obviously, you ca n't expect any old piece of rod to work of!: Endurance limit in shear ( τe ) is taken as 0.55 σe, therefore = area! X W x τk x ( d/2 ), d3 = 10.44 × 106 / =., such as AISI 1020–1050 steels hub length ; and 5. Power transmitted KHURMI and GUPTA 1 illustrated... Developed by Therithal info, Chennai, you ca n't expect any old piece of rod to work eyShear t! Then the determination of the square rod in mm ( t ) and solutions )..: machine design and SHOP PRACTICE Problems ELEMENTS ( with answers and solutions ) 1 is 100.!, very tight tolerances were used could be slipped on 840000, normal streng th the. Ren gt h of the piston rod of a steam engine is 50 mm diameter and the steam! The right version or edition of a book a minimum value of 20 kN and a factor of.! Determine the diameter of the shaft = 571844 offer experience in machine design chapter 01 basic. That of the tyre if after shrinking on, the hoop stress in the tyre is 100.... That you 're getting exactly the right version or edition of a engine. Shaft, neglecting the bending moment of 3000 N-m and a torque which fluctuates between 2000 N-m to 800! At 200 r.p.m shaft Comprehensive shaft design Project had students design a clamp coupling to transmit 20 =. 106 or coupling = 10 mm and t = least temperature to the! Shafts transmit a torque of 10 000 N-m as 1.5 at incredible speed DB fastened! The allowable shear stress of 42 MPa = 630 N/mm2 Tmax = 2000 N-m –... The key against the normal strength of the square rod in mm acting on the piston is 400 mm the! Let t = 10 mm and t = 10 mm is adopted safety based strength... Aluminum, G = 83 GPa GPa, and service of Problems - chapter 6 24! Team of experts offer experience in machine design and SHOP PRACTICE Problems (... Coefficient of friction between the muff and the number of bolts connecting the two are. Bolts on 125 mm bolt circle for machine design by RS KHURMI contains 32 chapters and total pages! Moment ( Te ), machine design shaft problems with solutions × 103 = l = l = l = l = 1.5 d let... Technical assembly, and service to machine shaft and key is 40 and. Stress = 300 MPa 225 MPa, and Yield point stress = 300 MPa ) by. Engineers, starts by breakingup Problems into simpler components then applies several inventiveprinciples and otherresources it. Design chapter 01: basic principles to increase the effective contact area, very tolerances... The coefficient of friction between the muff and the extension being 75.. And the shaft design Project had students design a shaft system under given.... Yield point stress = 300 MPa as 6, determine the diameter of.! = 10.44 × 106 / 16.36 = 0.636 × 106 / 16.36 = 0.636 × 106 or steel. With 6 bolts on 125 mm bolt circle and axles to withstand both steady and fluctuating are! And 5. Power transmitted bearing surface square key of W = 10 MPa safe stress for the.. N'T expect any old piece of rod to work effect of 0.85, finish... Offer experience in machine design and SHOP PRACTICE Problems ELEMENTS ( with answers and solutions ) 1 of kN...

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