# TORSION IN SOLID SQUARE SECTIONS

Torsion calculations of solid square section under twisting moment can be done with the following calculator. The calculator is only valid for solid square sections.

##### Calculator:

 INPUT PARAMETERS Parameter Symbol Value Unit Twisting Moment T N*m lbf*in lbf*ft Width 2a mm cm m inch ft 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 2 2 Maximum shear stress τ 3 3 Torsional stiffness constant K

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