Explanation Given information: The diameter of the shaft is 50 mm. Calculation: Sketch the free body diagram of the beam as shown in Figure 1. Let R A y is the reaction at point A about y axis, R B x is the reaction at point B about x axis, R A x is the reaction at point A about x axis, and R B y is the reaction at point B about y axis. Calculate the reaction for support using equilibrium Equations. ∑ M A y = 0 ( − 300 × 800 ) − ( R B x × 1200 ) = 0 − 240 , 000 − 1 , 200 R B x = 0 − 1 , 200 R B x = 240 , 000 R B x = − 200 N Summation of vertical force is zero. ∑ F x = 0 R A x + 300 − 200 = 0 R A x = − 100 N Taking moment about A about x axis. ( − 600 × 400 ) + ( R B y × 1 , 200 ) = 0 1 , 200 R B y − 240 , 000 = 0 1 , 200 R B y = 240 , 000 R B y = 200 N Summation of vertical force zero. R A y − 600 + 200 = 0 R A y = 400 N Sketch the calculated values as shown in Figure 2. Refer to Figure 2: Calculate the moment about x axis as follows: Calculate the moment at point B as shown below: M B = 0 Calculate the moment at point D . M D = − 200 × 400 = − 80 , 000 N ⋅ mm Calculate the moment at point C M C = ( − 200 × 800 ) + ( 300 × 400 ) = − 160 , 000 + 120 , 000 = − 40 , 000 N ⋅ mm Calculate the moment at point A M A = 0 Sketch the bending moment C and D critical location as shown in Figure 3. Calculate the moment about y axis as follows: Calculate the moment at point B as shown below: M B = 0 Calculate the moment at point D . M D = 200 × 400 = 80 , 000 N ⋅ mm Calculate the moment at point C M C = 200 × 800 = 160 , 000 N

10th Edition

ISBN: 9780134319650

Author: Russell C. Hibbeler

Publisher: PEARSON

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Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft …

Question

Chapter 11.4, Problem 11.41P

To determine

The absolute maximum bending stress (σmax) in the shaft.

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Chapter 11.4, Problem 11.40P

Chapter 11.4, Problem 11.42P

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Chapter 11 Solutions

Mechanics of Materials (10th Edition)

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