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.
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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc837c159-281c-429a-9ec5-8a70fc5b4137%2F16cdd041-718a-4fbe-946b-ee72a4de15f4%2Fkkjcvr_processed.png&w=3840&q=75)
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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