Week 5, Question 1: Using the force method, calculate the bending moment at D for this one-fold statically indeterminate frame. Ignore the axial and shear deformations and consider EI constant for the whole frame. Please use the gradual solution below and release M, as the redundant moment. Take a = 12 kN and L = 2.3 m 3 m D E F B C G H A 2 m .. 2 m- + 2 m I Part 1) Draw the bending moment diagram of the primary structure and calculate the bending moment at A, D and H. a) M b) M c) M kN m kN m kN m Part 2) Draw the bending moment diagram of the redundant structure when applying a counter-clockwise unit moment at I. Calculate the bending moment at A, D and H. a) MA kN m kN m b) mp= kN m Part 3) Calculate the real bending moment at D MD = Check kN m

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Week 5, Question 1:
Using the force method, calculate the bending moment at D for this one-fold statically indeterminate frame. Ignore the axial and shear deformations and consider EI constant for the whole frame.
Please use the gradual solution below and release M, as the redundant moment. Take a = 12 kN and L = 2.3 m
3 m
D
E
F
B
C
G
H
A
2 m
..
2 m-
+
2 m
I
Part 1)
Draw the bending moment diagram of the primary structure and calculate the bending moment at A, D and H.
a) M
b) M
c) M
kN m
kN m
kN m
Part 2)
Draw the bending moment diagram of the redundant structure when applying a counter-clockwise unit moment at I. Calculate the bending moment at A, D and H.
a) MA
kN m
kN m
b) mp=
kN m
Part 3)
Calculate the real bending moment at D
MD
=
Check
kN m
Transcribed Image Text:Week 5, Question 1: Using the force method, calculate the bending moment at D for this one-fold statically indeterminate frame. Ignore the axial and shear deformations and consider EI constant for the whole frame. Please use the gradual solution below and release M, as the redundant moment. Take a = 12 kN and L = 2.3 m 3 m D E F B C G H A 2 m .. 2 m- + 2 m I Part 1) Draw the bending moment diagram of the primary structure and calculate the bending moment at A, D and H. a) M b) M c) M kN m kN m kN m Part 2) Draw the bending moment diagram of the redundant structure when applying a counter-clockwise unit moment at I. Calculate the bending moment at A, D and H. a) MA kN m kN m b) mp= kN m Part 3) Calculate the real bending moment at D MD = Check kN m
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