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.


Torsion in Solid Square Section
Parameter Symbol Value Unit
Twisting Moment T
Width 2a
Section length L
Modulus of rigidity G

Note: Use dot "." as decimal separator.


Parameter Symbol Value Unit
Maximum shear stress* τmax ---
Angle of twist θ ---
Torsional stiffness constant K ---

Note: *Maximum shear stress is at the midpoint of each longer side for a≥b.

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 Equation for angle of twist for solid square torsion
2 2 Maximum shear stress τ Equation for maximum shear stress for solid square torsion
3 3 Torsional stiffness constant Equation for torsional stiffness constant of solid square

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