Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Required: qno7 . Virtual work method for beams (statically determinate). Ok See below question examples .dont reject
1. Double Integration Method (Statically Determinate)
Calculate the following for a cantilever beam shown. Assume constant El of 7,800 KN-m^3
a. Vertical Reaction at M
b. omax, mm
c. slope at the free end degrees.
E
REAL
CONJUGATE
J
E
B
15KN
M
5B=8max
MB'=703.04
El
B'V=202.8
El
5.2m
Smax=-703.04 x 1000mm
7800
Smax-90.1333mm!
SET
Bv'=
15KN
[Fv=01+
+Bv=1 (5.2) (78)=0
2
202.8
EI
M
0B=
-15(5.2)=
BP @A
OB=5.1641°
EMB'= 0+
+MB'=1 (5.2) (78) (2/3 X 5.2=0
2
MB'= 703.04
03.04
-703.04 rad X
7800
180
Trad
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Transcribed Image Text:1. Double Integration Method (Statically Determinate) Calculate the following for a cantilever beam shown. Assume constant El of 7,800 KN-m^3 a. Vertical Reaction at M b. omax, mm c. slope at the free end degrees. E REAL CONJUGATE J E B 15KN M 5B=8max MB'=703.04 El B'V=202.8 El 5.2m Smax=-703.04 x 1000mm 7800 Smax-90.1333mm! SET Bv'= 15KN [Fv=01+ +Bv=1 (5.2) (78)=0 2 202.8 EI M 0B= -15(5.2)= BP @A OB=5.1641° EMB'= 0+ +MB'=1 (5.2) (78) (2/3 X 5.2=0 2 MB'= 703.04 03.04 -703.04 rad X 7800 180 Trad
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