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Unformatted text preview: ASSIGNMENT NO.6 Assignment problem #1 (25 out of 100) Note that the distance between A and B is 0.5m and the distance between B and C is 2m Solution The moment of inertia of the columns (2pts) 4 4 4 4 40 32 7.41 40 64 I mm π π × − × = = × Critical load for column BD (5pts) Critical load for column CE (5pts) ( ) 2 3 4 2 70 10 7.41 10 22.78 1500 cr P kN π × × × × = = ( ) 2 3 4 2 70 10 7.41 10 26.15 0.7 2000 cr P kN π × × × × = = × Equilibrium of the beam (8pts) 1 2 2 F w P P ↑ = ⇒ × = + ∑ @ 2 2 2 B M w P ↵ = ⇒ × = × ∑ For the beam to be in equilibrium the forces carried by the columns should be equal 1 P w = and 2 P w = Considering that the critical load of column BD governs 1 2 P P = = 22.78 and w = 22.78 (5pts) P 2 w P 1 2m A B C Assignment problem #2 (25 out of 100) Solution (a) 589 314 5 y y F A B ↑ = ⇒ + − − × = ∑ @ 589 5 3 314 5 2.5 A y M B ↵ = ⇒ × − × + × × = ∑ 2289 y B N = (1pts) 131 y A N = − (1pts) Shear force diagram (1pts)...
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 Three '11
 BROWN
 Moment Of Inertia, Second moment of area, 1pts, critical load

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