Chapter 4 part 3

Chapter 4 part 3 - 4.13 Torsion Torque vector Moment vector...

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Unformatted text preview: 4.13 Torsion Torque vector: Moment vector that is collinear with an axis of amechanical element The angle of the twist is given as GJ Tl = θ torque Length Modulus of rigidity Polar second moment of area T l G J For solid round bar J T ρ τ = Shear stress proportional to radius Only applicable to circular sections Assumptions: 1) Pure torque, the section of interest is remoteefrom the load and change in diameter. 2) Adjacent parallel planes remain plans and parallel 3) Obey Hooke’slaw For solid round bar J T ρ τ = 32 4 d J π = For hollow round bar ( ) 32 4 4 i o d d J − = π For high speed machine, the relation between the power and speedof rotating is ω T H = H-Power, W T–Torque, N.m ω--Angular velocity, rad/s Conversion to other units available in textbook Fig. 4.24 A crank is loaded by F=300 lbfthat causes bending and twisting. The diameter of shaft is ¾ in, Other dimensions are shown. 1)Draw FBD for AB and BC, and compute the values of all forces, moments, and torque. 1)Draw FBD for AB and BC, and compute the values of all forces, moments, and torque....
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Chapter 4 part 3 - 4.13 Torsion Torque vector Moment vector...

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