Mechanics Of Materials, Si Edition
9th Edition
ISBN: 9789810694364
Author: Russell C Hibbeler
Publisher: Pearson Education
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Chapter 11.4, Problem 11.40P
To determine
The minimum diameter (d) of the solid shaft.
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Determine to the nearest millimeter the minimum diameter of the solid shaft if it is subjected to the gear loading. The bearings at A and B exert force components only in the y and z directions on the shaft. Base the design on the maximum distortion energy theory of failure with sallow = 150 MPa.
If 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.
The 304-stainless-steel cylinder has an inner diameter of 4 in. and a wall thickness of 0.1 in. If it is subjected to an internal pressure of p = 80 psi, axial load of 500 lb, and a torque of 70 lb · ft, determine if yielding occurs according to the maximum distortion energy theory.
Chapter 11 Solutions
Mechanics Of Materials, Si Edition
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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- The two pulleys fixed to the shaft are loaded as shown. If the journal bearings at A and B exert only vertical forces on the shaft, determine the required diameter of the shaft to the nearest 18 in. using the maximum distortionenergy theory. sallow = 67 ksi.arrow_forwardThe figure (attached) shows a belt pulley mechanism which is loaded statically. The shaft is made of AISI 1030 steel with the yield strength of 480 MPa. Using distortion energy theory (DET), determine the diameter of the shaft with a factor of safety of 2.arrow_forwardThe rod is pinned at its end A and attached to a torsional spring having a stiffness k, which measures the torque per radian of rotation of the spring. If a force P is always applied perpendicular to the end of the rod, determine the displacement of the force. EI is constant.arrow_forward
- A force of 10 kN is applied to the hook. If the CB cable is made of steel (E= 200 GPa) and has a diameter of 8.5 mm, determine its displacement. Consider the distance CB shown below as the initial length.arrow_forwardDetermine 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_forwardA load P is supported by two springs arranged in series. The upper spring has 20 turns of 19 mm diameter wire on a mean diameter of 150 mm. The lower spring consists of 15 turns of 12 mm diameter wire on a mead diameter of 125 mm. Determine the spring index of the lower spring in MPa if the total deformation is 76 mm and G of 83 GPa.arrow_forward
- Determine the minimum force required to deflect the spring with spring constant of 251 N/mm to a displacement of 5 mm.arrow_forwardThe flywheel causes a completely reverse bending on the shaft and the factor of safety is 2, determine: a. The ultimate tensile strength ( Su) of the material if the Yield strength (Sy) is 0.6 of Ultimate strength. b. The fatigue life of the shaft given the fatigue strength (S) is equal to 0.8Su and endurance Strength (Se) is equal to 0, 5Su, given the minimum stress is 0.3 of Maximum stress c. Draw the S - N diagramarrow_forwardDetermine the torsional strain energy in the A-36 steel shaft. The shaft has a radius of 40 mm.arrow_forward
- The flywheel causes a completely reverse bending on the shaft and the factor of safety is 2, determine: a. The ultimate tensile strength (Su) of the material if the Yield strength (Sy) is 0.6 of Ultimate strength. b. The fatigue life of the shaft given the fatigue strength (Sf) is equal to 0.8 Su and endurance Strength (Se) is equal to 0,5 Su, given the minimum stress is 0.3 of Maximum stress c. Draw the S-N diagramarrow_forwardIf sY = 50 ksi, determine the factor of safety for this loading against yielding based on (a) the maximum shear stress theory and (b) the maximum distortion energy theory.arrow_forwardA loading condition is shown below. The wires AB and CD both have yield strength (Sy) of 71 ksi, diameter of 1/4 in, and b = 2 in. a) Using either maximum shear stress theory or distortion energy theory, determine the maximum load P that can be applied before yielding happen in the wires. b) Using Castigliano's theorem, determine the horizontal displacement of point D.arrow_forward
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