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Contents of the Principal Stress PDF

List of 32 Principal Stress Formulas

Angle of Oblique Plane using Normal Stress when Complementary Shear Stresses Induced

Angle of Oblique Plane using Shear Stress and Axial Load

Angle of Oblique Plane using Shear Stress when Complementary Shear Stresses Induced

Angle of Oblique plane when Member Subjected to Axial Loading

Angle of Twist in Combined Bending and Torsion

Angle of Twist in Combined Bending and Torsional Stress

Bending Moment given Combined Bending and Torsion

Bending Stress given Combined Bending and Torsional Stress

Bending Stress of Circular Shaft given Equivalent Bending Moment

Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress

Diameter of Circular Shaft given Equivalent Bending Stress

Equivalent Bending Moment of Circular Shaft

Equivalent Torque given Maximum Shear Stress

Location of Principal Planes

Maximum Shear Stress due to Equivalent Torque

Maximum Shear Stress when Member is Subjected to like Principal Stresses

Normal Stress Induced in Oblique Plane due to Biaxial Loading

Normal Stress when Complementary Shear Stresses Induced

Normal Stress when Member Subjected to Axial Load

Shear Stress along Oblique Plane when Complementary Shear Stresses Induced

Shear Stress due to Effect of Complementary Shear Stresses and Shear Stress in Oblique Plane

Shear Stress due to Induced Complementary Shear Stresses and Normal Stress on Oblique Plane

Shear Stress Induced in Oblique Plane due to Biaxial Loading

Shear Stress when Member Subjected to Axial Load

Stress along X- Direction with known Shear Stress in Bi-Axial Loading

Stress along X-Axis when Member is Subjected to like Principal Stresses and Max Shear Stress

Stress along Y- Direction using Shear Stress in Bi-Axial Loading

Stress along Y-Axis when Member is Subjected to like Principal Stresses and Max Shear Stress

Stress along Y-direction given Shear Stress in Member subjected to Axial Load

Stress along Y-direction when Member Subjected to Axial Load

Torsional Moment when Member is subjected to both Bending and Torsion

Torsional Stress given Combined Bending and Torsional Stress

Variables used in Principal Stress PDF

M Bending Moment (Kilonewton Meter)
M_e Equivalent Bending Moment (Kilonewton Meter)
T Torsion (Megapascal)
T_e Equivalent Torque (Kilonewton Meter)
θ Theta (Degree)
σ_b Bending Stress (Megapascal)
σ_x Stress along x Direction (Megapascal)
σ_y Stress along y Direction (Megapascal)
σ_θ Normal Stress on Oblique Plane (Megapascal)
τ Shear Stress (Megapascal)
τ_max Maximum Shear Stress (Megapascal)
τ_xy Shear Stress xy (Megapascal)
τ_θ Shear Stress on Oblique Plane (Megapascal)
Φ Diameter of Circular Shaft (Millimeter)

Constants, Functions and Measurements used in Principal Stress PDF

Constant: pi, 3.14159265358979323846264338327950288
Archimedes' constant
Function: acos, acos(Number)
The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.
Function: arccos, arccos(Number)
Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.
Function: arctan, arctan(Number)
Inverse trigonometric functions are usually accompanied by the prefix - arc. Mathematically, we represent arctan or the inverse tangent function as tan-1 x or arctan(x).
Function: arsin, arsin(Number)
Arcsine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.
Function: asin, asin(Number)
The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.
Function: atan, atan(Number)
Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.
Function: cos, cos(Angle)
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Function: ctan, ctan(Angle)
Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.
Function: sin, sin(Angle)
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Function: tan, tan(Angle)
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Measurement: Length in Millimeter (mm)
Length Unit Conversion
Measurement: Angle in Degree (°)
Angle Unit Conversion
Measurement: Torque in Kilonewton Meter (kN*m)
Torque Unit Conversion
Measurement: Moment of Force in Kilonewton Meter (kN*m)
Moment of Force Unit Conversion
Measurement: Stress in Megapascal (MPa)
Stress Unit Conversion

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