Related Resources: calculators

Trapezoid Torque Deformation Stress Equations and Calculator

Beam Deflection and Stress Equation and Calculators

Torque Applied Deformation and Stress of a Trapezoid Equations and Calculator

ALL calculators require a Premium Membership

Preview

Torque Applied Deformation and Stress of a Trapezoid Calculator

Where:

V_L = 0.10504 - 0.10s + 0.0848s² + 0.06746s³ + 0.0515s⁴

V_s = 0.10504 + 0.10s + 0.0848s² + 0.06746s³ + 0.0515s⁴

s = ( m - n ) / b

Angle of Twist under applied Torque Moment

θ = ( T L ) / ( K G )

Shear Stress Maximum

A = ( m + n) b / 2

Where:

θ = angle of twist (radians),
α = degrees,
T = Twisting or torque moment force-length, (in-lbs, N-mm),
L = Length of Section (in, mm),
m, n, b = Length as Indicated (in, mm),
A = area of section (in², mm²)
τ = Unit shear stress force / area (lbs/in², N/mm²),
G = Modulus of rigidity force / area (lbs/in², N/mm²),
K = Polar Moment of Inertia (in⁴, mm⁴) for section

Reference:
Roarks Formulas for Stress and Strain, 7th Edition, Table 10.1 Formulas for torsional deformation and stress.