The figure below shows a loaded beam. Determine the reactions at the supports A and B. Note that the origin (x = 0) for the weight function w(x) is at point A. 8 kip W 2 ft 2 ft w = 6 + 3(x-4)² kip/ft B 1 ft + 1 ft C

The figure below shows a loaded beam. Determine the reactions at the supports A and B. Note that the origin (x = 0) for the weight function w(x) is at point A. 8 kip W 2 ft 2 ft w = 6 + 3(x-4)² kip/ft B 1 ft + 1 ft C

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.3.22P: Find expressions for shear force V and moment M at v = L/2 of beam AB in structure (a). Express V...

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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

The figure below shows a loaded beam. Determine the reactions at the supports A and B.
Note that the origin (x = 0) for the weight function w(x) is at point A.
8 kip
W
2 ft
2 ft
w = 6 + 3(x-4)² kip/ft
B
1 ft
+
1 ft
C

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Step 1: Draw the free-body diagram of the beam.

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Step 2: Apply force and moment equilibrium to find the reactions.

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