Tosolvetheseproblemsone mustaddthecompatibility

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Unformatted text preview: ational speed must be given in radians/sec. P = Tω (Watts) ► In the imperial system, power is normally defined by horsepower as 330 lbs of coal lifted 100 ft/min. (James Watt 1760) ► 1 hp = 550 ft­lbs/sec hp = T (ft­lbs) ω (1/sec)/550 1 hp = 746 Watts (Columbus/2) Example Example Statically Indeterminate Torsion Statically Indeterminate Torsion ► ► Just as in the axial load condition, we have conditions of statically indeterminate torsion whereby the equilibrium equations are not enough to solve the problem. To solve these problems, one must add the compatibility equations which relate to the angles of twist. ϕ= TL JG Statically Indeterminate Torsion Statically Indeterminate Torsion ► Consider a composite shaft fixed at both ends. The equilibrium equations for the reaction torques are given as: T0 = T1 + T2 ► The compatibility equations are: φ1 = - φ2 Statically Indeterminate Torsion Statically Indeterminate Torsion ► Consider another composite shaft with one shaft inside an...
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