Torsion Equation and Application Using Mechanics of Materials

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The following video proves and illustrate an application for Torsion equation:

Torsional Deflection of Shaft

The angular deflection of a torsion shaft can be expressed as

θ = L T / (Ip G)

Where

θ = angular shaft deflection (radians)

L = length of shaft (mm, in)

G = modulus of rigidity (Mpa, psi)

The angular deflection of a torsion solid shaft can be expressed as

θ = 32 L T / (G π D4)

The angular deflection of a torsion hollow shaft can be expressed as

θ = 32 L T / (G π (D4- d4))

The angle in degrees can be achieved by multiplying the angle θ in radians with 180/π

Solid shaft (π replaced)

Torsional Deflection of Shaft

The angular deflection of a torsion shaft can be expressed as

θ = L T / (Ip G)

Where

θ = angular shaft deflection (radians)

L = length of shaft (mm, in)

G = modulus of rigidity (Mpa, psi)

The angular deflection of a torsion solid shaft can be expressed as

θ = 32 L T / (G π D4)

The angular deflection of a torsion hollow shaft can be expressed as

θ = 32 L T / (G π (D4- d4))

The angle in degrees can be achieved by multiplying the angle θ in radians with 180/π

Solid shaft (π replaced)

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