A 5 kN/m 5 m ▬▬▬▬ C ↓ EZZJ B 7.5 m 2.5 m The simply-supported beam shown has a total length of 10 m with a pin support at A and roller support at C. The beam is subject to a distributed load of 5 kN/m over its entire length in addition to a concentrated load of 40 kN located 2.5 m from B. a) Draw the free body diagram (FBD) of the beam showing all external forces (including reactions). b) Solve for the reactions at A and B and state their directions. c) If we make a cut at location C (midpoint of the beam), show the positive orientations of all internal forces at C on both halves of the beam.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A
5 kN/m
▬▬▬▬▬▬
5 m
C
40 KN
▬▬▬▬▬▬
B
7.5 m
2.5 m
The simply-supported beam shown has a total length of 10 m with a pin support at A and roller
support at C. The beam is subject to a distributed load of 5 kN/m over its entire length in addition
to a concentrated load of 40 kN located 2.5 m from B.
a) Draw the free body diagram (FBD) of the beam showing all external forces (including reactions).
b) Solve for the reactions at A and B and state their directions.
c) If we make a cut at location C (midpoint of the beam), show the positive orientations of all
internal forces at C on both halves of the beam.
d) Determine the internal forces at C and their directions.
Transcribed Image Text:A 5 kN/m ▬▬▬▬▬▬ 5 m C 40 KN ▬▬▬▬▬▬ B 7.5 m 2.5 m The simply-supported beam shown has a total length of 10 m with a pin support at A and roller support at C. The beam is subject to a distributed load of 5 kN/m over its entire length in addition to a concentrated load of 40 kN located 2.5 m from B. a) Draw the free body diagram (FBD) of the beam showing all external forces (including reactions). b) Solve for the reactions at A and B and state their directions. c) If we make a cut at location C (midpoint of the beam), show the positive orientations of all internal forces at C on both halves of the beam. d) Determine the internal forces at C and their directions.
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