igid support geomet 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 910 N.m w 400 N/m 4 m L2 La 4 3 m Segment AB (0 m

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.6.18P: A beam having a cross section in the form of a channel (sec figure) is subjected to a bending moment...
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A beam with rigid support at A, pin connection at Cand 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 z 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.
|C
D
parameter
value
units
910
N-m
w
400
N/m
4
m
L2
L3
3
Segment AB (0 m <z< 4 m)
V(z) =
N.
M(2) =
N-m
%3D
Segment BC (4 m <z< 8 m)
V(2)
N
M(x) =
N-m
Segment CD (8 m <z< 11 m)
V(z) =
M(x) =
N-m
Transcribed Image Text:A beam with rigid support at A, pin connection at Cand 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 z 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. |C D parameter value units 910 N-m w 400 N/m 4 m L2 L3 3 Segment AB (0 m <z< 4 m) V(z) = N. M(2) = N-m %3D Segment BC (4 m <z< 8 m) V(2) N M(x) = N-m Segment CD (8 m <z< 11 m) V(z) = M(x) = N-m
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