Q2 A truss as shown in Fig. Q2 is loaded with a horizontal force of 5 kN at joint D and a vertical force of 10 kN at joint B. For each truss member, the cross-sectional area is A - 200 mm², the Young's modulus is E-200 GPa, and the coefficient of thermal expansion is a = 12x10-5°C. (1) Calculate the member deformations for all truss members due to the applied two forces. Also calculate the horizontal displacement at joint D due to the applied two forces.

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Chapter2: Loads On Structures
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Q2 A truss as shown in Fig. Q2 is loaded with a horizontal force of 5 kN at joint D and a
vertical force of 10 kN at joint B. For each truss member, the cross-sectional area is A = 200
mm², the Young's modulus is E = 200 GPa, and the coefficient of thermal expansion is a =
12x10-5/°C.
(1) Calculate the member deformations for all truss members due to the applied two forces.
Also calculate the horizontal displacement at joint D due to the applied two forces.
(2) If members AB and AD are subjected to temperature change of AT = -40°C, calculate the
additional member deformation in members AB and AD due to temperature change only.
(3) What is the total horizontal displacement at joint D due to the combined effects of the
applied loads and the temperature change?
2 m
2 m
B
10 kN
Fig. Q2
2 m
5 kN
Transcribed Image Text:Q2 A truss as shown in Fig. Q2 is loaded with a horizontal force of 5 kN at joint D and a vertical force of 10 kN at joint B. For each truss member, the cross-sectional area is A = 200 mm², the Young's modulus is E = 200 GPa, and the coefficient of thermal expansion is a = 12x10-5/°C. (1) Calculate the member deformations for all truss members due to the applied two forces. Also calculate the horizontal displacement at joint D due to the applied two forces. (2) If members AB and AD are subjected to temperature change of AT = -40°C, calculate the additional member deformation in members AB and AD due to temperature change only. (3) What is the total horizontal displacement at joint D due to the combined effects of the applied loads and the temperature change? 2 m 2 m B 10 kN Fig. Q2 2 m 5 kN
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