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Calculations
Circle diameter
This functionality is in
beta stage
.
Circle diameter
public
Diameter of a circle.
Circle diameter
$$ D_{circle_{mm}} = 40 \: {mm} $$
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D_{circle_{mm}} = 10
Dependant calculations
6
Shear stress
public
Calculate shear stress in a shaft due to torsion.
Applied torque
$$ T_N = 4300 \: Nm $$
Shear stress
$$ \tau_{shear_{shaft}} = {{\left({ T_N \cdot 10 ^ 3 }\right) \over W_{t_{circle}}}} \:, MPa $$
Torsion modulus of circular section
public
Torsion modulus of circular solid section with known diameter
Torsion modulus
$$ W_{t_{circle}} = {{\left({ \pi \cdot D_{circle_{mm}} ^ 3 }\right) \over 16}} \:, mm^3 $$
Bending stress
public
Calculate normal stress in a solid circular section, with known diameter, due to bending moment.
Bending stress
$$ \sigma_{bend_{circle_p}} = {10 ^ 3 \cdot {M_{B_p} \over W_{y_{circle}}}} \:, MPa $$
Section modulus of circular section
public
Section modulus of circular solid section with known diameter
Section modulus
$$ W_{y_{circle}} = {{\left({ \pi \cdot D_{circle_{mm}} ^ 3 }\right) \over 32}} \:, mm^3 $$
Shear stress
public
Calculate shear stress in a pin or axle under point load.
Applied force
$$ F_N = 70000 \: N $$ Number of shear planes
$$ n_{sp} = 1 \: $$
Shear stress
$$ \tau_{shear_{circle}} = {{F_N \over \left({ A_{circle_{d_{mm}}} \cdot n_{sp} }\right)}} \:, MPa $$
Area of circle
public
Calculate area of circle with known diameter
Circle area
$$ A_{circle_{d_{mm}}} = {\pi \cdot {D_{circle_{mm}} ^ 2 \over 4}} \:, mm^2 $$