Sample Mid-Semester Test Paper

# Sample Mid-Semester Test Paper - Macaulay’s method and by...

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Name : . . . . . . . . . . . . . . . . . Student No. : . . . . . . . . . . . Mark : . . . . . . . . . . . HES 5320 - SOLID MECHANICS Sample Mid-Semester Test Time Allowed: 60 Minutes. Marks : 15 Marks Total. Instructions : - State all equations used. Hand held calculator permitted. - Answer all questions in space provided, last page is blank sheet if additional space required. . . Q. 1 Fig. 1 shows a beam ABC which is simply supported at B, built in at C and subject to a UDL of w (N/m). Solve for the unknown reactions at B and C (in terms of w , a, L and EI) using the double integration (or

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Unformatted text preview: Macaulay’s) method and by following the steps below. Take EI as a constant. ( 8 marks ) Fig. 1 FORMULAE 12 h b I 3 ⋅ = 4 r π I 4 ⋅ = X X I y M ⋅ = σ I E M 1 ⋅ = ρ M dx v d I E 2 2-= ⋅ A E L F ⋅ ⋅ = ∆ ∫ ∫ ∫ ∂ ∂ = ∂ ∂ = ∂ ∂ = ∂ ∂ = θ L L 2 θ Rd W M EI M dx W M EI M dx EI 2 M W W U ν ∫ ∫ ∫ α-= α α α α + α = α α α-α = α α 2 cos 4 1 d sin cos 2 sin 4 1 2 d cos 2 sin 4 1 2 d sin 2 2 [ ] ( 29 x a x when a x a x n n ≥ -=-< a...
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## This note was uploaded on 10/23/2009 for the course HES 2340 taught by Professor Tomedwards during the Three '09 term at Swinburne.

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Sample Mid-Semester Test Paper - Macaulay’s method and by...

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