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A beam with rigid support at A, pin connection at C and roller at D has the geometry and loads as shown in the figure and parameter table. Find the equations for the shear and moment as a function of a in each segment of the beam. Follow the sign convention that positive shear tends to rotate the object clockwise, and a positive moment would tend to bend the object concave up. Take the origin for all functions to be at A. M C parameter value units 740 N-m 400 N/m L1 L2 L3 3 4 m Segment AB (0 m

A beam with rigid support at A, pin connection at C and roller at D has the geometry and loads as shown in the figure and parameter table. Find the equations for the shear and moment as a function of a in each segment of the beam. Follow the sign convention that positive shear tends to rotate the object clockwise, and a positive moment would tend to bend the object concave up. Take the origin for all functions to be at A. M C parameter value units 740 N-m 400 N/m L1 L2 L3 3 4 m Segment AB (0 m

Structural Analysis
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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A beam with rigid support at A, pin connection at C and roller at D has the geometry and loads as shown in the figure and parameter table. Find the equations for the shear and moment as a function of a in each segment of the beam. Follow the sign convention that positive shear tends to rotate the object clockwise, and a positive moment would tend to bend the object concave up. Take the origin for all functions to be at A. M C parameter value units 740 N-m 400 N/m L1 L2 L3 3 4 m Segment AB (0 m <x < 3 m) V (x) : N. M(r) N.m Segment BC (3 m <x < 7m) V (x) = %3D M(z) N.m Segment CD (7 m <a < 11 m) V(z) = M(z) N.m %3D
Transcribed Image Text:A beam with rigid support at A, pin connection at C and roller at D has the geometry and loads as shown in the figure and parameter table. Find the equations for the shear and moment as a function of a in each segment of the beam. Follow the sign convention that positive shear tends to rotate the object clockwise, and a positive moment would tend to bend the object concave up. Take the origin for all functions to be at A. M C parameter value units 740 N-m 400 N/m L1 L2 L3 3 4 m Segment AB (0 m <x < 3 m) V (x) : N. M(r) N.m Segment BC (3 m <x < 7m) V (x) = %3D M(z) N.m Segment CD (7 m <a < 11 m) V(z) = M(z) N.m %3D
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