Torsion Flashcards
What is Torsion
Amount of Deformation caused by A Moment (Torque) that twists and deforms a member along their longitudinal axis.
How is positive torsion defined
Point your thumb away from the shaft, where your right-hand curves that is positive torsion.
Derive the formula for Shear Stress of a point on a cross-section of a beam deformed by torsion.
Derive the formula for Torque of a point on a cross-section of a beam deformed by torsion.
Calculate J (second moment of area ) of a Solid cylinder length r away from the origin
Calculate J (second moment of area ) of a Hollow cylinder length r away from the origin
Caclulate the rotation of the free end and maximum shear stress of a beam:
Diameter : 200mm
Shear Modulus : 80 X10^3 N/mm^2
Length : 400 mm
Torque : 200 Nm
A Solid Steel Shaft shown is used to transmit 3750W from a Motor, the SHaft rotates at 175 rpm , the maximum shear stress the material can withstand is 100MPa
Determine the Required minimum diameter of the shaft to the nearest mm.
Explain the Concept of Average Shear Stress
For a very thin wall, its reasonable to assume that the shear stress is constant along its thickness
Calculate the approximate shear stress of points A and B in this Rectangular beam.
