STRUCTURAL ANALYSIS (LL)
6th Edition
ISBN: 9780357030967
Author: KASSIMALI
Publisher: CENGAGE L
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Question
Chapter 7, Problem 19P
To determine
Calculate the vertical deflection at joint G of the truss.
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Determine the smallest cross-sectional
area A required for the members of the truss shown, so that
the horizontal deflection at joint D does not exceed 10 mm.
Use the virtual work method.
50 kN
50 kN
100 kN
4 m
A
B
3 m
EA = constant
E= 70 GPa
FIG. P7.11
2. Determine the vertical deflection at joint B of the truss shown
in Fig. below due to a temperature increase of 40° C in members
AB and BC, and a temperature drop of 20° C in members AD,
DE, EF, and CF. If member BE is 18 mm too long and member
BC is 15mm too short. Use the method of virtual work.
E
3.5 m
D
B
-6 m-
a = 1.2 (10-5)°C
Determine the cross-sectional area A required for the members of the truss in Fig.2, so
that the horizontal deflection at joint D (Ap-h) is 10 mm. Use the virtual work method.
50 KN
100 kN
Fig. 2
50 kN
c↓
3 m
EA constant
E-70 GPA
D
4 m
Chapter 7 Solutions
STRUCTURAL ANALYSIS (LL)
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10P
Ch. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - Prob. 40PCh. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69P
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- Q. 3 Determine the deflections at B and C for the beam shown in Fig. 2 using the conjugate beam method. Also, determine the slope at D. El is constant. E = 20,000ksi and I = 31500 in.¹. 1.5 k/ft H -6 ft 30 k B +4ft- C -5 ft- Fig. 2arrow_forwardDetermine the deflection at a point which is 0.25S m left of point B in span AB as well as rotations of point B and C of the beam shown in Fig. 1b using the Method of Superposition. E is constant for the beam. Use 21 for AB and I for BCD. The support at B is a roller while the support at Cis a pin. s=24 2S kN/m 0.5s kNm А B 25 m Sm marrow_forwardProblem 7.18 Determine the horizontal deflection at joint E of the truss shown in the figure if member BC is 18mm too long and member CE is 15mm too short. Use the method of virtual work. 4 m 4 m B 3 m a = 1.2 (10 SyC FIG. P7.16, P7.18arrow_forward
- Use the virtual work method to determine the deflection at point C of the beam shown. 100 KN 300 kN-m B 6 m 21 E = constant = 70 GPa I = 500 (106) mm² FIG. P7.23 3m Iarrow_forward.: Use double integration method to find the deflection at the pin C and the slope at roller support D for beam shown in Fig. 1. (constant EI) 60KN www 3m B 3m C 3m Darrow_forward7.26 Determine the smallest moment of in- ertia I required for the beam shown, so that its maximum deflection does not exceed the limit of 1/360 of the span length (i.e., Amax ≤L/360). Use the method of virtual work. 60 KN 300 kN-m A B 5 m L = 10 m El = constant E = 200 GPa FIG. P7.26 5m-arrow_forward
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