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Load to shear

Shear to Moment

Change in Shear (Area under load diagram)

Change in Moment (Area under Shear Diagram)

Flexure Formula

Section Modulus

Moment Curvature

Transverse Shear Stress

First Moment of Area

Elastic Curve Differential Equation for DIM

Slope Equation for DIM

Deflection Equation for DIM

Macaulay Function Integration

Area Moment Method Theorem 1 (Slope Change)

Area Moment Method Theorem 2 (vertical deviation)

Cylinder: hoop stress

Cylinder: longitudinal stress

Sphere: membrane stress

Normal stress on rotated plane

Shear stress on rotated plane

Normal stress on perpendicular plane

Principal stresses (in-plane)

Principal Angle

Max in-plane shear stress

Angle for max in-plane shear

Average normal stress (at max shear)

Principal stresses opposite signs

MSST (Tresca) – absolute max shear criterion

von mises Stress (Plane Stress)

Max normal stress (brittle, equal strengths)
