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Segment AB: V(x) in Newtons M(x) in Newton meters Segment BC: V(x) in Newtons M(x) in Newton meters Segment CD: V(x) in Newtons M(x) in Newton meters

Segment AB: V(x) in Newtons M(x) in Newton meters Segment BC: V(x) in Newtons M(x) in Newton meters Segment CD: V(x) in Newtons M(x) in Newton meters

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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Find:

Segment AB:

V(x) in Newtons

M(x) in Newton meters

Segment BC:

V(x) in Newtons

M(x) in Newton meters

Segment CD:

V(x) in Newtons

M(x) in Newton meters

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 x 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. В |C D parameter value units 1080 N-m 350 N/m L1 L2 L3 3 m 4 Segment AB (0 m <x < 3 m) V (2) = N M(x) = N-m Segment BC (3 m <x < 7 m) V(x) = N M(r) N-m Segment CD (7 m <x < 10 m) V(z) = M(x) N-m 3.
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 x 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. В |C D parameter value units 1080 N-m 350 N/m L1 L2 L3 3 m 4 Segment AB (0 m <x < 3 m) V (2) = N M(x) = N-m Segment BC (3 m <x < 7 m) V(x) = N M(r) N-m Segment CD (7 m <x < 10 m) V(z) = M(x) N-m 3.
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