TORSION IN SOLID RECTANGULAR SECTIONS

Torsional stiffness constant, shear stress and angle of twist parameters of a solid rectangular section, which is under twisting moment, can be calculated with the following calculator. The calculator is only valid for solid rectangular sections. The formulas used for calculations are given in the "List of Equations" section.

Calculator:

 INPUT PARAMETERS Parameter Symbol Value Unit Twisting Moment T N*m lbf*in lbf*ft Width 2a mm cm m inch ft Height 2b Section length L Modulus of rigidity G GPa psi*10^6

Note: Use dot "." as decimal separator.

 RESULTS Parameter Symbol Value Unit Maximum shear stress* τmax --- MPa psi Angle of twist θ --- Radian Degree Torsional stiffness constant K --- mm^4 cm^4 inch^4 ft^4

Definitions:

Angle of Twist: The angle through which a part of an object such as a shaft is rotated from its normal position when a torque is applied.

Modulus of rigidity (modulus of elasticity in shear): The rate of change of unit shear stress with respect to unit shear strain for the condition of pure shear within the proportional limit. Typical values Aluminum 6061-T6: 24 GPa, Structural Steel: 79.3 GPa.

List of Equations:

 Step Parameter/Condition Symbol Equation 1 Angle of twist θ 2 Maximum shear stress τmax 3 Torsional stiffness constant K

 Symbol Parameter T Twisting moment K Torsional stiffness constant 2a Longer edge length 2b Shorter edge length L Length of the beam G Modulus of rigidity