Explanation Given: The beam is shown below: Calculation: Draw the free body diagram of the beam. Determine the reactions by taking the sum of forces in the vertical direction as follows: A y + B y = 4 × 3 + 1 2 3 4 A y + B y = 18 kN Take moment about point A as follows: ∑ M A = 0 B y 3 = 4 3 4.5 + 1 2 3 4 2 3 3 B y = 22 kN Substitute this value in the above equation as follows: A y + 22 kN = 18 kN A y = − 4 kN The negative sign indicates that the opposite direction of the reaction at A. Take the section in each segment of the beam as shown below: For segment AB , The shear force equation is, V x = − 4 − 1 2 4 3 x 2 So, V A x = 0 = − 4 − 1 2 4 3 0 2 = − 4 kN V B x = 3 m = − 4 − 1 2 4 3 3 2 = − 10 kN The equation of bending moment is, M x = − 4 x − 1 2 4 3 x 2 x 3 So, M A x = 0

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ISBN: 9780137605521

Author: HIBBELER

Publisher: RENT PEARS

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Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

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Chapter 6.2, Problem 24P

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To draw a shear and moment diagram.

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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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To draw a shear and moment diagram.

Solution Summary: The author explains how to draw a shear and moment diagram of the beam. Determine the reactions by taking the sum of forces in the vertical direction.

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To draw a shear and moment diagram.

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