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Quiz4 Solution

# Quiz4 Solution - y Useful Equations Moment of inertial for...

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MEEG 344 – Mechanics of Materials Quiz #4 For the solid rectangular beam shown a couple M is applied in a plane containing the diagonal AD. Show that the N.A. coincides with the diagonal CB. SOLUTION From geometry, 3 12 1 bh I z = , 3 12 1 hb I y = , h b h b = = ) 2 / ( ) 2 / ( tan θ Substitute in the following equation, φ tan tan y z I I = b h h b hb bh = = 3 3 12 1 12 1 tan From geometry, b h b h = = ) 2 / ( ) 2 / ( tan M B C D A h/2 b/2 θ θ φ z
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Unformatted text preview: y Useful Equations: Moment of inertial for rectangular cross section: 3 12 1 bh I z = Bending stress due to moment M z : z z x I y M = σ Bending stress due to unsymmetric bending: y y z z x I z M I y M + − = Orientation of neutral axis with respect to angle of bending moment θ: tan tan y z I I =...
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