For the following beams, draw the simplified free-body diagram and below it the shear and bending moment diagrams. Let the analysis be from left to right. Determine the points of zero shear (if any), their distance from point A, and the bending moments at these points. Indicate the value of all the points, the degree of all curves, and the maximum shear and a maximum bending moment of the beam. PROBLEM 1: Use the method of sections. Beam ABCD has a hanger connected at B and is supported by a roller at A and a pin at C. 100 N L1 M L2 A 3 m B 3 m 1.5 m Parameters L1 = 206 N/m L2 = 30 N/m L3=214 N/m L4 = 89 N/m M = 89 N-m Provide a summary of the equations in the following format. Simplified Equation Exploratory Distance x= x= Shear (N) 2.5 m L4 D L3 Bending Moment (N-m)

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...
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For the following beams, draw the simplified free-body diagram and below it the shear and bending
moment diagrams. Let the analysis be from left to right. Determine the points of zero shear (if any),
their distance from point A, and the bending moments at these points. Indicate the value of all the
points, the degree of all curves, and the maximum shear and a maximum bending moment of the
beam.
PROBLEM 1:
Use the method of sections. Beam ABCD has a hanger connected at B and is supported by a roller at A
and a pin at C.
100 N
L1
M
L2
3 m
B
3 m
1.5 m
Parameters
L1 = 206 N/m
L2 = 30 N/m
L3 = 214 N/m
L4 = 89 N/m
M = 89 N-m
Provide a summary of the equations in the following format.
Simplified Equation
Exploratory Distance
<shear equation>
x= <min value>
<bending moment equation>
x= <max value>
Shear (N)
2.5 m
L4
D
L3
Bending Moment (N-m)
Transcribed Image Text:For the following beams, draw the simplified free-body diagram and below it the shear and bending moment diagrams. Let the analysis be from left to right. Determine the points of zero shear (if any), their distance from point A, and the bending moments at these points. Indicate the value of all the points, the degree of all curves, and the maximum shear and a maximum bending moment of the beam. PROBLEM 1: Use the method of sections. Beam ABCD has a hanger connected at B and is supported by a roller at A and a pin at C. 100 N L1 M L2 3 m B 3 m 1.5 m Parameters L1 = 206 N/m L2 = 30 N/m L3 = 214 N/m L4 = 89 N/m M = 89 N-m Provide a summary of the equations in the following format. Simplified Equation Exploratory Distance <shear equation> x= <min value> <bending moment equation> x= <max value> Shear (N) 2.5 m L4 D L3 Bending Moment (N-m)
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