# 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 shafts (sections).

### Torsion of Square Tube Calculator:

 INPUT PARAMETERS Parameter Value 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 Value Maximum shear stress [τmax]* --- MPa psi Angle of twist [θ] --- Radian Degree Torsional stiffness constant [K] --- mm^4 cm^4 inch^4 ft^4

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.

### List of Equations:

 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 ] $$K=2.25{ a }^{ 4 }$$

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