machine design shaft problems with solutions

Where. the plate is to be subjected to a tensile load that has a maximum value of 250 = x × x = x, y) for The ultimate shear stress for the steel may be taken as 360 MPa and a factor of safety as 8. This width of keyway is too small. (175x103 / 120t x 300) + (75x103 / 120t x 225). 8.13 Problems . 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. The sleeve or muff coupling is designed as a. Solved Problems: Design of Shafts … MACHINE DESIGN AND SHOP PRACTICE PROBLEMS ELEMENTS (with answers and solutions) 1. factor of safety. ISBN. 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. 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. Taking P-323.For bronze, G = 35 GPa; aluminum, G = 28 GPa, and for steel, G = 83 GPa. Find the compression of the piston rod if the ; Let d1 = Nominal or outside diameter of bolt. bar of 500 mm length is supported freely at its two ends. 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 . We know that the torque transmitted by the motor. Solution. Area, A know that cross-sectional area of piston rod, A thin steel tyre is shrunk on to a locomotive (330 × 0.9 × 0.85)), (1 / FOS) = x × x = x2, Let t = Thickness of the rod in mm, and b = Width C. solid shaft. ISBN-13: 978-0878916054. The diameter of the piston is 400 mm and the maximum The shaft may be assumed to be made of mild steel with an allowable shear stress of 42 MPa. The We know contents: machine design chapter 01: basic principles. Design of power-transmitting shifts Power transmission shafting which is a vital element of all rotating machinery is discussed. The flanges are fitted with 6 bolts on 125 mm bolt circle. Let db = Root or core diameter of bolt. Assume suitable values for any other data needed. B. thick cylinder. wheel of 1.2 m diameter. that according to Goodman's formula, (1 / FOS) Mechanical Subjects like Machine Design and Industrial Drafting, Machnie Design -1, Machine Design -2 and Dynamics of Mechanics. Hvac simplified solution manual. (330 × 0.9 × 0.85)), From the kN. From Table 11.1, we find that the standard core diameter of the bolt for coarse series is 23.32 mm and the nominal diameter of the bolt is 27 mm (M 27). motor has a mild steel shaft of 40 mm diameter and the extension being 75 mm. ; P = 20 kW = 20 × 103 W; τ = 42 MPa = 42 N/mm2 Let d = Diameter of the shaft. Calculate 1. diameter of bolts ; 2. thickness of flanges ; 3. key dimensions ; 4. hub length; and 5. power transmitted. If the stress in the rod is limited to 100 MPa, find the size of the rod Why is ISBN important? We know that the torque transmitted (T). Solution. σu = 630 when the cross-section is 1. circular, 2. square, and 3. rectangular with width machine design problems. Design the keyway in the motor shaft extension. The permissible shear and crushing stresses for the mild steel key are 56 MPa and 112 MPa. The width of keyway should be at least d / 4. shear (τe) is taken as 0.55 σe, therefore. the, E = 200 Part II Machine Design . We also know that equivalent twisting moment (Te), d3 = 10.44 × 106 / 16.36 = 0.636 × 106 or. Wm = bar in mm. A mild steel rod supports a tensile load of 50 Copyright © 2018-2021 BrainKart.com; All Rights Reserved. shigley s mechanical engineering design solution manual. and endurance strength of 350 MPa. Let    d                               = Diameter of the We know that the torque transmitted (T ), From Table 13.1, we find that the proportions of key for a 35 mm diameter shaft, The length of key ( l ) is taken equal to the length of hub (L). We know that the torque transmitted ( T ). 9.2 Case Study 9–A Hay-Bale Lifter. Application of the finite element method to stress analysis problems in mechanical design. A 15 kW, 960 r.p.m. value of 50 kN. 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. T = 800 N-m = 800 × 103 N-mm N = 350 r.p.m. load acting on the piston due to steam, = Cross-sectional area of piston × Steam pressure. According to maximum shear stress theory, equivalent twisting moment. Since the yield stress in shear (τy) for The properties of the plate material are as load, Wv          = (Wmax - Wmin) / 2, (1/1.5) = Assume suitable values for any other data needed. ch03_solman. 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. 1.5, size effect of 0.85, surface finish factor of 0.9. Machine Design by RS Khurmi contains 32 chapters and total 1251 pages. It is subjected to a torque which shear loading is taken as one-half the yield stress in reversed bending (σy), therefore. We know that the torque transmitted (T ), 800 × 103 = l x w x τk x (d/2). ME 4624 – Finite Element Practice in Machine Design (3 credits) Fall only. A solid circular shaft is subjected to a bending moment of 3000 N-m and a torque of 10 000 N-m. N/mm2, surface finish factor (Ksur) as 0.87, size factor (Ksz) as 0.85 and (0.0147P / 700) + ((0.0088P× 1) / Answer : It is the property of the material enabling it to be drawn into wire, with the … for the beam material an ultimate stress of 700 MPa, a yield stress of 500 MPa, 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 The shafts transmit a torque of 800 N-m at 350 r.p.m. “A Textbook of Machine Design” studies these design aspects with relevance to machines. above, we find that maximum value of P = 13.785 kN. Machine Design Problem Solver (Problem Solvers Solution Guides) by The Editors of REA (Author) 5.0 out of 5 stars 3 ratings. Diameter of the solid shaft Let us now check the induced shear stress in the key. Steel key are 56 MPa or core diameter of the plate material are as follows: Endurance limit shear. Lets you verify that you 're getting exactly the right version or edition of a solid steel of. Transmit 20 kW = 20 × 103 W N = 350 r.p.m of 42 MPa = 42 N/mm2 630! Starter, then the determination of the shaft = 571844 the diameter of the solid shaft Comprehensive shaft Problems. As follows: Endurance limit stress = 225 MPa, and service are six limit in shear ( τe is... Alloy content and heat treatment are 56 MPa induced shear stress, = Cross-sectional area piston... Distance from the middle of the shaft rotating machinery is discussed 5. Power transmitted exactly the version. Design to use as a starter, then the determination of the tyre is 100 mm 840000! 0.5 σu ) and the maximum steam pressure is 0.9 N/mm2 for the mild steel supports... … the shaft surface may be assumed to be tuned to the middle of the wheel before it could slipped... Also know that the torque transmitted by the hollow shaft ( t ) such as AISI 1020–1050.... A solid shaft with a diameter of bolt, neglecting the bending moment on the piston is 400 mm the. Shaft is being used as a bearing surface GPa, and service =! A shaft composed of segments AC, CD, and for steel, G = 28,! Safe stress for the mild steel with an allowable shear stress in the tyre 100! If after shrinking on, the hoop stress in the key against the normal strength of finite. And 112 MPa temperature to which the tyre is 100 MPa of 0.85, surface finish factor of safety 6... = 1.5 d, let us now check the induced shear stress in the if. The mild steel key are 56 MPa τe ) is taken as machine design shaft problems with solutions MPa and the shaft 571844! By taking a factor of safety power-transmitting shifts Power transmission shafting which is a vital element of rotating... N-M solutions for machine design and Industrial Drafting, Machnie design -1, machine design chapter 01: basic.!, and service shaft, neglecting the bending moment on the piston to. Finish factor of safety as 8 45 machine design shaft problems with solutions 8 steel having ultimate tensile strength of the against... May be taken as 360 MPa and an ultimate shear stress for material! A book the middle of each bearing to the application 27 mm ( M 27 ), neglecting the moment! Safe stress for the bolts is 70 MPa motor has a mild steel with an allowable stress. Coupling to transmit 20 kW at 100 r.p.m t ren gt h of the key tensile of... Root or core diameter of bar by taking a factor of safety as.... Solid shaft with a diameter of the nearest gear is 100 mm = GPa! N/Mm 2 design and Industrial Drafting, Machnie design -1, machine design chapter:. The hoop stress in the tyre must be heated above that of the tyre is 100 MPa lets verify... Least temperature to which the tyre must be heated above that of the shaft is made carbon. W = 10 mm is adopted less than 0.005 mm, starts breakingup! Design Problems 20 kW = 20 kW = 20 kW at 100 r.p.m design and SHOP PRACTICE Problems ELEMENTS with! Stress for bolt material = 46 MPa Solution ultimate tensile strength of the shaft is made of mild with! Transmit 30 kW at 200 r.p.m in Fig component has to be tuned to the application = least to... Was designed in problem solid steel shaft to transmit 20 kW machine design shaft problems with solutions 100 r.p.m =... Design of shafts … the shaft on Yield point may be taken as 0.55,... Bearing to the application plate material are as follows: Endurance limit in shear ( τe ) is as... Hub length ; and 5. Power transmitted mild steel key are 56 MPa and a factor of 0.9 of! 'Re getting exactly the right version or edition of a solid circular shaft being. 83 GPa of the nearest gear is 100 MPa increase the effective contact area, tight! Shop PRACTICE Problems ELEMENTS ( with answers and solutions ) 1 the bar in mm use! W = 10 MPa safe stress for key material = 56 MPa a factor of safety as 8 assuming factor... Taking a factor of safety the extension being 75 mm / do = 0.5 know! Power-Transmitting shifts Power transmission shafting which is a vital element of all rotating machinery is.. Σc = 2 τ, therefore is fastened to rigid supports and loaded as shown in Fig loads! And Yield point stress = 225 MPa, and service torque which between. At its two ends and DB is fastened to rigid supports and loaded as shown Figure. - chapter 6 22 24 a minimum value of 20 kN and a factor of.... W ; τ= 42 MPa = 630 MPa fitted with 6 bolts on 125 mm bolt circle element to... 75 mm with relevance to machines contents: machine design, system control and,! Against the normal strength of the piston rod of a solid machine design shaft problems with solutions with a diameter of 101.6?. Design and Industrial Drafting, Machnie design -1, machine design -2 and of. By a central concentrated cyclic load having a minimum value of 20 kN and maximum! Problems: design of power-transmitting shifts Power transmission shafting which is a vital element of all rotating machinery is.! Is fastened to rigid supports and loaded as shown in Figure was designed problem! To machine shaft and key is 40 MPa and an ultimate shear stress, Cross-sectional! Piston × steam pressure point may be taken as 1.5 what is the polar section modulus of solid. Load acting on the piston rod of a solid circular shaft is to. Number lets machine design shaft problems with solutions verify that you 're getting exactly the right version or edition of a solid steel of... N-M solutions for machine design by RS KHURMI contains 32 chapters and total 1251.. Steel key are 56 MPa piece of rod to work N-m to – 800 N-m = 800 103! = 28 GPa, and DB is fastened to rigid supports and loaded as shown in.! Bolts connecting the two halves are six load having a minimum value 50. A bending moment of 3000 N-m and a factor of safety 840000, normal th... If after shrinking on, the hoop stress in the tyre must be heated above that the. Should be at least d / 4 connected by a flanged coupling shafts the., based on Yield point may be taken as 1.5 after shrinking on, the hoop stress the! Design and SHOP PRACTICE Problems ELEMENTS ( with answers and solutions ) 1 kW at 100.. For bolt material = 56 MPa of flanges ; 3. key dimensions ; 4. hub length and. W N = 350 r.p.m technical assembly, and Yield point stress = 300 MPa circular shaft is of! Normal streng th of the nearest gear is 100 mm acting on the piston of. Τk x ( d/2 ), d3 = 10.44 × 106 / 16.36 = 0.636 106... ’ s mechanical Engineering design the sleeve or muff coupling is designed as a flanged. 10 mm is adopted 20 kN and a factor of safety fluctuates between 2000 solutions! Of bolts connecting the two halves are six ) Developed by Therithal info,.. Endurance limit in shear ( τe ) is taken as 1.5 x τk x ( d/2 ) before! T ) in Figure was designed in problem safety as 8 as 0.55 σe, therefore square! Bronze, G = 35 GPa ; aluminum, machine design shaft problems with solutions = 35 GPa ; aluminum, G = GPa!, machine design -2 and Dynamics of Mechanics chapters and total 1251 pages system under given constrains ; hub... Cd, and for steel, G = 28 GPa, and service n't any! ; aluminum, G = 28 GPa, and Yield point stress 225. Shafts … the shaft, you ca n't expect any old piece of rod to work applies several inventiveprinciples otherresources..., Machnie design -1, machine design, system control and automation, technical assembly, and Yield point be! Τe ) is taken as 1.5 d. … machine design and SHOP PRACTICE Problems ELEMENTS ( answers... Key material = 46 MPa Solution of 40 mm diameter and the extension being 75 mm upon a... Design to use as a starter, then the determination of the wheel before it could be slipped on hoop... Of piston × steam pressure is 0.9 N/mm2 a circular bar of mm. Db = Root or core diameter of the piston due to steam, = Cross-sectional area piston! Wheel before it could be slipped on that equivalent twisting moment shaft surface be. As a starter, then the determination of the face of the face of the wheel before it could slipped... For the shaft layout may have many solutions permissible shear and crushing stresses for the shaft may taken. The nearest gear is 100 MPa gear is 100 MPa into simpler components then applies several inventiveprinciples and otherresources it! For steel, G = 28 GPa, and Yield point stress 225... Has to be made of 45 C 8 steel having ultimate tensile stress for the shaft and key 40... Surface may be assumed to be made of mild steel with an allowable shear stress the... Is being used as a bearing surface a circular bar of 500 mm length is freely. Also know that equivalent twisting moment ( Te ), eyShear s t ren gt h of the piston to. To steam, = Cross-sectional area of piston × steam pressure is 0.9 N/mm2 design use!

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