Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 11, Problem 11.50RP
Determine the shaft's diameter to the nearest millimetre so that it can resist the loadings. Use the maximum distortion energy theory of failure with σallow = 200 MPa.
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A 25 mm diameter shaft is made of forged steel 30C8 (Sut = 600N/mm2). There is a step in the shaft and the theoretical stressconcentration factor at the step is 2.1. The notch sensitivity factor is0.84. Determine the endurance limit of the shaft if it is subjectedto a reversed bending moment.
Chapter 11 Solutions
Mechanics of Materials
Ch. 11.2 - Determine the minimum dimension a to the nearest...Ch. 11.2 - of the rod to safely support the load. The rod is...Ch. 11.2 - The wood has an allowable normal stress of allow =...Ch. 11.2 - of the beam's cross section to safely support the...Ch. 11.2 - Determine the minimum dimension b to the nearest...Ch. 11.2 - The beam is made of steel having an allowable...Ch. 11.2 - Determine its dimensions if it is to be...Ch. 11.2 - Determine the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - If the allowable bending stress is allow = 22 ksi...
Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - The allowable bending stress is allow = 22 ksi and...Ch. 11.2 - 11–7. Draw the shear and moment diagrams for the...Ch. 11.2 - *11–8. The simply supported beam is made of timber...Ch. 11.2 - The beam has an allowable normal stress of allow =...Ch. 11.2 - The beam has an allowable normal stress of allow...Ch. 11.2 - 11–11. The timber beam is to be loaded as shown....Ch. 11.2 - If each beam is to be designed to carry 90 lb/ft...Ch. 11.2 - 11–13. Select the lightest steel wide-flange beam...Ch. 11.2 - 11–14. Select the lightest-weight steel...Ch. 11.2 - Prob. 11.15PCh. 11.2 - The beam has an allowable normal stress of allow....Ch. 11.2 - Determine the maximum cable force P that can...Ch. 11.2 - to safely support the load. The wood has an...Ch. 11.2 - and the wood has an allowable normal stress of...Ch. 11.2 - Prob. 11.20PCh. 11.2 - Prob. 11.21PCh. 11.2 - Prob. 11.22PCh. 11.2 - 11–23. The beam is constructed from three boards...Ch. 11.2 - Prob. 11.24PCh. 11.2 - Prob. 11.25PCh. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - Prob. 11.27PCh. 11.2 - * 11–28. The joist AB used in housing construction...Ch. 11.2 - If the maximum bending stress is not to exceed...Ch. 11.2 - 11–30. The simply supported beam supports a load...Ch. 11.4 - Determine the variation in the width was a...Ch. 11.4 - Prob. 11.32PCh. 11.4 - Prob. 11.33PCh. 11.4 - The beam is made from a plate that has a constant...Ch. 11.4 - Determine the variation in the depth d of a...Ch. 11.4 - Determine the variation of the radius r of the...Ch. 11.4 - Prob. 11.37PCh. 11.4 - Determine the variation in the width b as a...Ch. 11.4 - The tubular shaft has an inner diameter of 15 mm....Ch. 11.4 - Prob. 11.40PCh. 11.4 - Prob. 11.41PCh. 11.4 - Prob. 11.42PCh. 11.4 - Prob. 11.43PCh. 11.4 - Prob. 11.44PCh. 11.4 - Prob. 11.45PCh. 11.4 - Prob. 11.46PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.49RPCh. 11 - Determine the shaft's diameter to the nearest...Ch. 11 - Select the lightest-weight wide-flange beam from...Ch. 11 - The simply supported joist is used in the...Ch. 11 - The simply supported joist is used in the...Ch. 11 - by 4-in. pieces of wood braced as shown. If the...
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- Determine the power in kilowatts transmitted by the solid shaft if the radius is 7.5mm and it rotates with revolution of 67.6 RPS. Maximum torsional stress equivalent to 50000 kPa.arrow_forwardIf the material is machine steel having a yield stress of sY = 750 MPa, determine the factor of safety with respect to yielding using the maximum distortion energy theory.arrow_forwardBar of steel, (yield strenght Sy = 462 MPa) is subjected to the following stresses; σx = 171 MPa , σy = -144 MPa , τxy = 175 MPa Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.arrow_forward
- A pulley is keyed to a shaft midway between two anti-friction bearings. The bending moment at the pulley varies from – 170 N-m to + 510 N-m.The shaft is made of cold drawn steel having an ultimate strength of 540 MPa and yield strength of 400 MPa, Take σe = 0.5 σu. Determine the required diameter for an indefinite life based on Goodman equation. The actual stress concentration factor for the keyway is 1.6. The factor of safety is 1.5. Take size factor = 0.85 and surface finish factor = 0.88.arrow_forwardThe journal bearings at A and B exert only x and z components of force on the shaft. Determine the shaft’s diameter to the nearest millimeter so that it can resist the loadings. Use the maximum distortion energy theory of failure with sallow = 200 MPa.arrow_forwardThe drive shaft AB of an automobile is to be designed as a thin-walled tube. The engine delivers 150 hp when the shaft is turning at 1000 rev>min. Determine the minimum thickness of the shaft’s wall if the shaft’s outerdiameter is 2.5 in. The material has allowable shear stress of tallow = 7 ksi.arrow_forward
- The drive shaft of the motor is made of a material having an allowable shear stress of τallow= 72 MPa. the shaft is operating at an angular velocity of 1700 rev/min. Take ci= 0.75 co. A) If the motor is to deliver a power of 25 kW, determine the required minimum outer diameter of the tubular shaft to the nearest mm. B)Determine the required corresponding inner diameter of the tubular shaft to the nearest mm.arrow_forwardA pipe has an outer radius of 2in and an inner radius of 1.7 in, it is subjected to the forces shown. Determine the state of stress for the most critical section and point, then find the factor of safety based on the distortion energy. Sy 180 kpsi. 150 lb 20 lb-ft 20 lb-ft 150 lb.arrow_forwardIf a shaft is made of a material for which sY = 75 ksi, determine the maximum torsional shear stress required to cause yielding using the maximum distortion energy theory.arrow_forward
- The solid steel shaft is supported by frictionless bearings in D and E. This system is connected to a motor that provides 5 kW of power to the shaft while rotating at w = 75 rpm. If A and B gears get 2 kW and 3 kW respectively, determine the minimum shaft diameter. w rotation speed and safety shear stress τem = 35MPa are known and given in the table with your names below.arrow_forwardUsing the distortion energy (DE) theory determine the factor of safety for a bar of made of hot rolled steel with yelid strenght of Sy = 470 MPa with the follwoing stresses: σx = 234 MPa, σy = -175 MPa, τxy = 142 MPaarrow_forwardDetermine the maximum shear stress of the given shaft in MPa if a T= 10kNm torque is applied to it; T=10kNm D=75mm L=15marrow_forward
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