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exam 3 solutions fall 2006

exam 3 solutions fall 2006 - following readings are...

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MAE2312 Solid Mechanics/CE 2313 Strength of Materials 11/29/06 Student Name____________________________________________________________ Exam #3 Policy: Close notes; close book; no cell phone use during the exam; one formula sheet is allowed; calculator is allowed; work on distributed exam sheets only; addition paper can be requested. Problem 1: The clamp is made from members AB and AC, which are pin connected at A. If the compressive force at C & B is 180N, determine the state of stress at point F, and indicate the results on a volume element. The screw DE is subjected to a tensile force along its axis. (25pts)
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Problem 2: Determine (a) the principle stress and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case (20pts)
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Problem 3: The 60 o strain rosette is mounted on the surface of an aluminum plate. The
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Unformatted text preview: following readings are obtained for each gauge: ε a =950(10-6 ), ε b =380(10-6 ), ε c = -220(10-6 ). Determine the strain components ε x , ε y , & γ xy . (15pts) Note: ε a , ε b , ε c in the solution are different from the problem, but the approach should be exactly the same. Problem 4: A short concrete cylinder having a diameter of 50mm is subjected to a torque of 500N.m and an axial compression force of 2KN. Determine if it fails according to the maximum-normal-stress theory. The ultimate stress of the concrete is σ ult =28MPa. (20pts) Problem 5: express σ x’ in terms of σ x , σ y , & τ xy . Show derivation steps. (10 pts) Bonus problem : The stress at a point is shown on the element. Determine the principle stresses and the absolute maximum shear stress. (10pts)...
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