The deflection is then obtained by summing the terms (uSL)/(AE) for all the bars in the truss as indicated.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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1. Determine the bar forces S in the actual truss.

2. Apply a unit load to the dummy/virtual structure in the direction of the desired deflection. (Include FBD diagrams)

3.  Calculate the resulting bar forces u.

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Member
ab
af
fg
bf
bg
bc
cg
SAMPLE PROBLEM
A L
in,2 ft
S(K) u(k)
USL/A
n
nuSL/A
2 25 -50 -0.83
518.75
2
1037.5
2 20
40
0.67
268,0
2
536.0
2 20
40
0.67
268.0
2
536.0
1 15
20
0
0
2
1 25
16.7 0.83
346.5
2
693.0
2 20
-53.3 -1.33
708.9
2
1417.8
1 15
0
0
e
1
0
4220.3
NN
0
SuL
AE
4220.3(12)
30 X 10³
.δ = Σ
=
= 1.69 in.
Transcribed Image Text:Member ab af fg bf bg bc cg SAMPLE PROBLEM A L in,2 ft S(K) u(k) USL/A n nuSL/A 2 25 -50 -0.83 518.75 2 1037.5 2 20 40 0.67 268,0 2 536.0 2 20 40 0.67 268.0 2 536.0 1 15 20 0 0 2 1 25 16.7 0.83 346.5 2 693.0 2 20 -53.3 -1.33 708.9 2 1417.8 1 15 0 0 e 1 0 4220.3 NN 0 SuL AE 4220.3(12) 30 X 10³ .δ = Σ = = 1.69 in.
1. Determine the bar forces S in the actual truss.
2. Apply a unit load to the dummy/virtual
structure in the direction of the desired
deflection.
3. Calculate the resulting bar forces u
The deflection is then obtained by summing
the terms (uSL)/(AE) for all the bars in the
truss as indicated.
15'
Determine the deflection at point g.
2 in.² с 2 in.²
d
1 in.²
1 in 2
2 in.2
2
A = 2 in.²
30 k
2 in²
1 in.2
f
20 k
9
2 in.2
20 k
-4@20' 80'.
(a) Real structure
1 in 2
h
20 k
E-30 X 10³ ksi
2 in, ²
2 in 2
30 k
Transcribed Image Text:1. Determine the bar forces S in the actual truss. 2. Apply a unit load to the dummy/virtual structure in the direction of the desired deflection. 3. Calculate the resulting bar forces u The deflection is then obtained by summing the terms (uSL)/(AE) for all the bars in the truss as indicated. 15' Determine the deflection at point g. 2 in.² с 2 in.² d 1 in.² 1 in 2 2 in.2 2 A = 2 in.² 30 k 2 in² 1 in.2 f 20 k 9 2 in.2 20 k -4@20' 80'. (a) Real structure 1 in 2 h 20 k E-30 X 10³ ksi 2 in, ² 2 in 2 30 k
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