The two beams are connected by an ideal pin at C. Draw the shear and moment diagrams for the combined beam. State the maximum magnitude of the bending moment for each beam and where it occurs. (Hint: Begin by drawing a free-body diagram of beam CD to find the reaction at D.) 1500 lb-ft A k 300 lb/ft 10'- 46'² 1400 lb 150 lb/ft 1533 B C Pin D- -10 2 2500 lb-ft

The two beams are connected by an ideal pin at C. Draw the shear and moment diagrams for the combined beam. State the maximum magnitude of the bending moment for each beam and where it occurs. (Hint: Begin by drawing a free-body diagram of beam CD to find the reaction at D.) 1500 lb-ft A k 300 lb/ft 10'- 46'² 1400 lb 150 lb/ft 1533 B C Pin D- -10 2 2500 lb-ft

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

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The two beams are connected by an ideal pin at C. Draw the shear and moment diagrams for the
combined beam. State the maximum magnitude of the bending moment for each beam and where
it occurs. (Hint: Begin by drawing a free-body diagram of beam CD to find the reaction at D.)
1500 lb-ft
300 lb/ft
10'
46'-
1400 lb
150 lb/ft
B C Pin D
10' 2'
2500 lb-ft

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Step 1: State the given data

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Step 2: Reaction at D

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Step 3: Reaction at A and B

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Step 4: Shear force diagram

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Step 5: Calculation for shear force diagram

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Step 6: Bending moment diagram

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Step 7: Calculation for bending moment diagram

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Step 8: Maximum magnitude of bending moment

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