Answered: Determine the reactions and draw the…

Determine the reactions and draw the shear and bending moment diagrams for the beams shown in Figure by using the slope-deflection method.

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

Determine the reactions and draw the shear and bending moment diagrams for the beams shown in Figure by using the slope-deflection method.

T₁
15 ft
2 k/ft
my
100 k.ft
A
-15 ft 15 ft
D
El = constant
E = 29,000 ksi
I=3,500 in 4

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For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=1.50 m, b=5.00 m, PA = 75kN, and PC = 90kN. Construct the shear-force and bending-moment diagrams. Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below.
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