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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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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