Explanation Given information: The width of the rectangular cross section is 4 in. The depth of the cross section is 12 in. Calculation: Sketch the free body diagram of beam as shown in Figure 1. Let A x and A y is the reaction at point horizontal and vertical direction and M A about acting at point A . Consider the portion BC . Taking a moment about C . ∑ M C = 0 ( − B y × 9 ) + 12 × 6 = 0 − 9 B y + 72 = 0 B y = 8 kip Summation of vertical force is zero using equilibrium condition. ∑ F y = 0 B y + C y − 12 = 0 B y + C y = 12 (1) Sketch the portion BC as shown in Figure 2. Substitute 8 kip for B y in Equation (1). 8 + C y = 12 C y = 4 kip Consider the section AB : Calculate the moment acting at point A . ∑ M A = 0 M A − 2 ( 9 ) ( 4.5 ) − ( 8 × 9 ) = 0 M A − 81 − 72 = 0 M A − 153 = 0 M A = 153 kip ⋅ ft Summation of vertical force is zero. ∑ F y = 0 A y − 2 ( 9 ) − 8 = 0 A y − 18 − 8 − 0 A y = 26 kip Sketch the diagram of section AB as shown in Figure 3. Calculate the shear force as follows: Calculate the shear force at point A . S F @ A = 26.0 kip Calculate the shear force at point B . S F @ B = 26.0 − 18 = 8 kip Calculate the shear force at point C . S F @ C = 8 − 12 = 4 kip Sketch the shear force diagram as shown in Figure (4) Calculate the bending moment section AB as follows: Calculate the bending moment at point A

11th Edition

ISBN: 9780137605460

Author: Russell C. Hibbeler

Publisher: Pearson Education (US)

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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 …

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Chapter 6.4, Problem 88P

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The absolute the maximum bending stress (σabsmax) in the beam.

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Chapter 6.4, Problem 87P

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Chapter 6 Solutions

Mechanics of Materials

Ch. 6.2 - and then draw the shear and moment diagrams for...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - Prob. 1P Ch. 6.2 - Prob. 2P

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The absolute the maximum bending stress ( σ abs max ) in the beam.

Solution Summary: The author explains how to determine the absolute maximum bending stress in a beam.

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The absolute the maximum bending stress (σabsmax) in the beam.

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Chapter 6 Solutions