notes_17_shr_strs_clsd

notes_17_shr_strs_clsd - Shear Stress from Shear Load in...

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Shear Stress from Shear Load in closed non symmetric section Q t1 t2 Shear load is applied such that (pure) bending occurs can't use symmetry to determine where to start s = 0 arc length parameter approach: divide into two problems and superpose: Q t1 t2 = q* + q* is the shear flow we have developed to date opening the section and q1 is a constant shear flow in the closed section superposition => we add the two flows for the actual shear flow how do we calculate each. i.e q = q* + q1 We have one condition; the net has to match the applied load the second comes from the physical situation; the slip at the cut must be 0 q1 1/7
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b m_star qs slip = γ ds where integral is circular and γ is the shear strain γ ds = τ ds = 1 q ds = 0 G the shear modulus = constant => G G t q 1 q_star ds +  ds = 0 q 1 is constant => t t q_star s () ds ts 0 () where the numerator is the integral around the cross q 1 := section and the denominator is as well (circular) 1 ds b b ds = Q m_star s in this case the example is q_star s I s 0 I ts ds symmetric wrt z axis Iyz = 0 would := Q
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.082 taught by Professor Davidburke during the Spring '03 term at MIT.

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notes_17_shr_strs_clsd - Shear Stress from Shear Load in...

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