2145321 Air Struc I – Quiz 4-1

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2145321 Air Struc I – Quiz 4-1

Assignment Date: Monday 15 October 2012 Submission Date: In Class

Name ID No Determine the support reaction by the equilibrium and virtual work approaches.

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2145321 Air Struc I – Quiz 4-2

Name ID No Determine the maximum deflection and the deflection at x = 2L by the equilibrium and virtual work approaches.

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2145321 Air Struc I – Quiz 4-3

Name ID No

Complete FBDs of the bodies. Then, determine the force in each member of the truss and state if the members are in tension or compression using the equilibrium method. Given P1 = 10 kN, P2 = 15 kN, a = 2 m, b = 4 m, c = 4 m.

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2145321 Air Struc I – Quiz 4-4

Name ID No

Complete FBDs of the bodies. Then, determine the force in each member of the truss and state if the members are in tension or compression using the virtual work. Given P1 = 10 kN, P2 = 15 kN, a = 2 m, b = 4 m, c = 4 m.

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2145321 Air Struc I – Quiz 4-5

Name ID No Determine the total deflection at point D using the virtual work. Given P1 = 10 kN, P2 = 15 kN, a = 2 m, b = 4 m, c

= 4 m, E = 200 GPa and A = 2000 mm². You can use results from previous quizzes.

Member L (m) F_A (kN) F1xD F1yD F_A F_1xDL(kN·m) F_A F_1yDL(kN·m)

BG BC AB BF CF CE CD AF EF DE

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2145321 Air Struc I – Quiz 4-6

Name ID No Determine the support reaction by the equilibrium and virtual work approaches for the beam with length L and

constant EI.

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2145321 Air Struc I – Quiz 4-7

Name ID No Determine the maximum deflection and the deflection at the mid-span by the equilibrium and virtual work

approaches for the beam with length L and constant EI.

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2145321 Air Struc I – Quiz 4-8

Name ID No Determine the maximum deflection and the deflection at x = 2L by the energy method.

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2145321 Air Struc I – Quiz 4-9

Name ID No Determine the total deflection at point D using the energy method. Given P1 = 10 kN, P2 = 15 kN, a = 2 m, b = 4 m,

c = 4 m, E = 200 GPa and A = 2000 mm². You can use results from previous quizzes.

Mmb L (m) FA (kN) FxD FyD FxD/PxD FyD/PyD FA LFxD/PxD FA LFyD/PyD

BG BC AB BF CF CE CD AF EF DE

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2145321 Air Struc I – Quiz 4-10

Name ID No If the displacement at point B must not exceed 2 mm, determine the maximum value of P that can be applied to the

structure. The E = 200,000 N/mm² and A = 1000 mm². The supports at the bottom-left, bottom-right and top-right are a pin, a roller and a roller, respectively.

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2145321 Air Struc I – Quiz 4-11

Name ID No For a circular beam with diameter d, by assuming that B is rigid (i.e. remains perpendicular), determine the

displacement of the end C at failure by the Tresca yield criterion by the energy method.

The material properties are E = 200 GPa, = 0.32 and _y = 500 MPa. Given a = 0.8 m, b = 0.6 m, d = 3 cm.

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2145321 Air Struc I – Quiz 4-12

Name ID No Determine the maximum deflection and the deflection at x = 2L by the potential energy method.