TORSION IN SOLID SQUARE SECTIONS

Torsion calculator for solid square section under twisting moment.


Torsion of Square Tube Calculator:

Torsion in Solid Square Section
 INPUT PARAMETERS
Parameter Value
Twisting Moment [T]
Width [2a]
Section length [L]
Modulus of rigidity [G]

Note: Use dot "." as decimal separator.

 


 RESULTS
Parameter Value
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.

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.

Formulas:

Parameter Equation
Angle of twist [θ] $$\theta =\frac { TL }{ KG }$$
Maximum shear stress [τ] $${ \tau }_{ max }=\frac { 0.601T }{ { a }^{ 3 } } $$
Torsional stiffness constant [K ] $$K=2.25{ a }^{ 4 }$$

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

Reference: