Explanation Given: Bending stress s y = 50 k s i Young's modulus E = 30 , 000 k s i A 992 Steel is used, Calculation: Free body diagram of the beam is shown in given figure, Three moment equation is given by formula, M 1 L 1 + 2 M 2 ( L 1 + L 2 ) + M 3 L 3 = − ∑ P 1 a L 1 ( L 2 1 − a 2 ) 0 + 2 M A ( 32 + 0 ) + M B × 32 = − 24 × 12 32 ( 32 2 − 24 2 ) − − 14 × 16 32 ( 32 2 − 16 2 ) − 24 × 8 32 ( 32 2 − 8 2 ) 2 M A + M B = − 384...... ( 1 ) Three moment equation for second part is given by formula, M 1 L 1 + 2 M 2 ( L 1 + L 2 ) + M 3 L 3 = − ∑ P 1 a L 1 ( L 2 1 − a 2 ) 32 M A + 2 M A ( 32 + 0 ) + 0 = − 12 × 8 32 ( 32 2 − 8 2 ) − 14 × 16 32 ( 32 2 − 16 2 ) − 12 × 24 32 ( 32 2 − 24 2 ) M A + 2 M B = − 384

Applied Statics and Strength of Materials (6th Edition)

6th Edition

ISBN: 9780133840544

Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel

Publisher: PEARSON

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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 21, Problem 21.20SP

To determine

Shear force and bending moment diagrams.

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Chapter 21 Solutions

Applied Statics and Strength of Materials (6th Edition)

Ch. 21 - Prob. 21.1P Ch. 21 - Prob. 21.2P Ch. 21 - Use the method of superposition to determine the...Ch. 21 - Draw complete shear and moment diagrams for the...Ch. 21 - Draw complete shear and moment diagrams for the...Ch. 21 - Draw complete shear and moment diagrams for the...Ch. 21 - Determine the reactions for the beam shown.Ch. 21 - Prob. 21.8P Ch. 21 - 21.9 Select a southern pine timber beam () for the...Ch. 21 - For the continuous beams shown, find moments at...

Ch. 21 - For the continuous beams shown, find moments at...Ch. 21 - For the continuous beams shown, find moments at...Ch. 21 - Prob. 21.13SP Ch. 21 - Prob. 21.14SP Ch. 21 - Prob. 21.15SP Ch. 21 - Prob. 21.16SP Ch. 21 - Prob. 21.17SP Ch. 21 - Prob. 21.18SP Ch. 21 - Prob. 21.19SP Ch. 21 - Prob. 21.20SP Ch. 21 - For these problems, use any appropriate method of...Ch. 21 - For these problems, use any appropriate method of...Ch. 21 - Prob. 21.23SP Ch. 21 - For these problems, use any appropriate method of...

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Understanding Shear Force and Bending Moment Diagrams; Author: The Efficient Engineer;https://www.youtube.com/watch?v=C-FEVzI8oe8;License: Standard YouTube License, CC-BY

Bending Stress; Author: moodlemech;https://www.youtube.com/watch?v=9QIqewkE6xM;License: Standard Youtube License