The beam shown below is fixed at A and has a roller at B. For the beam: a) Determine the degree of determinacy. b) Determine the support reactions using the force method. c) Determine the slope at B using the slope-deflection method. 5 kN/m ▬▬▬▬▬ A Note: El is constant. 5 m B 5 m 10 KN C
The beam shown below is fixed at A and has a roller at B. For the beam: a) Determine the degree of determinacy. b) Determine the support reactions using the force method. c) Determine the slope at B using the slope-deflection method. 5 kN/m ▬▬▬▬▬ A Note: El is constant. 5 m B 5 m 10 KN C
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The beam shown below is fixed at A and has a roller at B. For the beam:
a) Determine the degree of determinacy.
b) Determine the support reactions using the force method.
c) Determine the slope at B using the slope-deflection method.
5 kN/m
H
A
Note: El is constant.
5 m
B
5 m
10 KN
C
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Step 1: Given data
VIEWStep 2: a) finding the static indeterminacy of the given beam:-
VIEWStep 3: b) By using force method ( consistency deformation method) to finding the support reactions of beam:
VIEWStep 4: Finding the m1 moments due to redundant load at B of the given beam:-
VIEWStep 5: Finding deflection due to given loads of the beam:
VIEWStep 6: Finding deflection due to redundant load:-
VIEWStep 7: Finding the redundant reaction and support reactions of the given beam:-
VIEWStep 8: C) By using slope deflection method to finding the slope at B of the given beam:
VIEWStep 9: C) By using slope deflection method to finding the slope at B of the given beam:
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