Explanation Given information: The bearings at A and B exert only vertical forces on the shaft. The allowable shear stress is τ allow = 12 ksi . Calculation: Sketch the Free Body Diagram of the beam as shown in Figure 1. Refer to Figure 1. Let A y is the reaction at point A about y axis and B y is the reaction at point B about y axis. Find the reaction at the support as shown below. Apply Equations of Equilibrium as shown below. Take moment about A is Equal to zero. ∑ M A = 0 B y × 6 − 420 × 4 − 420 × 1 = 0 6 B y − 2 , 100 = 0 6 B y = 2 , 100 B y = 350 lb Summation of vertical forces is equal to zero. ∑ F y = 0 A y − 420 − 420 + 350 = 0 A y = 490 lb Sketch the Free Body Diagram with values as shown in Figure 2. Refer to Figure 2: Find the moment about y axis as follows: Determine moment from right end of the shaft. Moment at point B : M B = 0 Moment at point D: M D = 350 × 2 = 700 lb ⋅ ft Moment at point C : M C = 350 × 5 − 420 × 3 = 490 lb ⋅ ft Moment at point A: M A = 350 × 6 − 420 × 4 − 420 × 1 = 0 Sketch the bending moment C and D critical location as shown in Figure 3. Refer to Figure 3. Maximum bending moment occurs at C . M C = 700 lb ⋅ ft Sketch the torque as shown in Figure 4. Refer to Figure 4. T = 90 lb ⋅ ft Find the required diameter using maximum shear stress energy as shown below

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ISBN: 9789810694364

Author: Russell C Hibbeler

Publisher: Pearson Education

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Chapter 11.4, Problem 11.43P

To determine

The required diameter of the shaft to the nearest 18 in. .

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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. 11.15P Ch. 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. 11.20P Ch. 11.2 - Prob. 11.21P Ch. 11.2 - Prob. 11.22P Ch. 11.2 - 11–23. The beam is constructed from three boards...Ch. 11.2 - Prob. 11.24P Ch. 11.2 - Prob. 11.25P Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - Prob. 11.27P Ch. 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. 11.32P Ch. 11.4 - Prob. 11.33P Ch. 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. 11.37P Ch. 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. 11.40P Ch. 11.4 - Prob. 11.41P Ch. 11.4 - Prob. 11.42P Ch. 11.4 - Prob. 11.43P Ch. 11.4 - Prob. 11.44P Ch. 11.4 - Prob. 11.45P Ch. 11.4 - Prob. 11.46P Ch. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.49RP Ch. 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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BEARINGS BASICS and Bearing Life for Mechanical Design in 10 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=aU4CVZo3wgk;License: Standard Youtube License

The required diameter of the shaft to the nearest 1 8 in . .

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The required diameter of the shaft to the nearest 18 in. .

Chapter 11 Solutions