Consider the simply supported beam shown to the right with a pair of point loads. a) Using equilibrium equations on section cuts at these positions (0.0001', 1', 4', 7.9999', 8.00001', 10', and 11.99999'), calculate the internal forces in the beam (shear and moment) at each cut. 2' 10 k B 8' 12' 6 k C D b) Based on the results of part a, plot the shear and moment diagrams for this beam. Estimate the shape based on your values and whether you expect the graphs to be constant, linear, etc. in different regions.
Consider the simply supported beam shown to the right with a pair of point loads. a) Using equilibrium equations on section cuts at these positions (0.0001', 1', 4', 7.9999', 8.00001', 10', and 11.99999'), calculate the internal forces in the beam (shear and moment) at each cut. 2' 10 k B 8' 12' 6 k C D b) Based on the results of part a, plot the shear and moment diagrams for this beam. Estimate the shape based on your values and whether you expect the graphs to be constant, linear, etc. in different regions.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Only had to do 3 cuts not all listed. Plot the diagrams too if allowed. Thank you.
Transcribed Image Text:Consider the simply supported beam shown
to the right with a pair of point loads.
a) Using equilibrium equations on section
cuts at these positions (0.0001', 1', 4',
7.9999', 8.00001', 10', and 11.99999'),
calculate the internal forces in the beam
(shear and moment) at each cut.
10 k
B
12'
6 k
C
TM
b) Based on the results of part a, plot the
shear and moment diagrams for this beam.
Estimate the shape based on your values and whether you expect the graphs to be constant,
linear, etc. in different regions.
Expert Solution
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Internal forces at each cut
Shear and moment diagram
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