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Torsion Angle of Twist

Torsion is the twisting of an object due to an applied torque.

The twist angle equals the length times the torque divided by the torsion modulus and the second moment of area.

Formula

QuantityVariable["ϕ", "Angle"] == (QuantityVariable["L", "Length"]*QuantityVariable["T", "Torque"])/(QuantityVariable["G", "Stress"]*QuantityVariable["J", "SecondMomentOfArea"])

symbol description physical quantity
ϕ twist angle "Angle"
G torsion modulus "Stress"
J second moment of area "SecondMomentOfArea"
L length "Length"
T torque "Torque"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Torsion Angle of Twist"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Torsion Angle of Twist"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Torsion Angle of Twist"], {QuantityVariable["L","Length"] -> Quantity[600, "Millimeters"], QuantityVariable["G","Stress"] -> Quantity[84, "Gigapascals"], QuantityVariable["J","SecondMomentOfArea"] -> Quantity[575000, ("Millimeters")^4], QuantityVariable["\[Phi]","Angle"] -> Quantity[0.01738`, "Radians"]}]
Out[3]=

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