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Strain

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Contents of the Stress and Strain PDF

List of 20 Stress and Strain Formulas

Axial Elongation of Prismatic Bar due to External Load

Bulk Modulus given Bulk Stress and Strain

Bulk Modulus given Volume Stress and Strain

Deflection of Fixed Beam with Load at Center

Deflection of Fixed Beam with Uniformly Distributed Load

Elastic Modulus

Elongation Circular Tapered Bar

Elongation of Prismatic Bar due to its Own Weight

Equivalent Bending Moment

Equivalent Torsional Moment

Hooke's Law

Moment of Inertia about Polar Axis

Moment of Inertia for Hollow Circular Shaft

Normal Stress 1

Normal Stress 2

Rankine's Formula for Columns

Shear Modulus

Slenderness Ratio

Torque on Shaft

Total Angle of Twist

Variables used in Stress and Strain PDF

∆ Elongation (Millimeter)
A Area of Prismatic Bar (Square Meter)
A_Base Area of Base (Square Meter)
B_stress Bulk Stress (Pascal)
B.S Bulk Strain
d Deflection of Fixed Beam with UDL (Millimeter)
D₁ Diameter of Bigger End (Millimeter)
D₂ Diameter of Smaller End (Millimeter)
d_hi Inner Diameter of Hollow Circular Section (Millimeter)
d_ho Outer Diameter of Hollow Circular Section (Millimeter)
d_s Diameter of Shaft (Millimeter)
D_shaft Shaft Diameter (Meter)
e Elastic Modulus (Pascal)
E Young's Modulus (Pascal)
E_h Young's Modulus from Hook's Law (Pascal)
F Force (Newton)
G_pa Shear Modulus (Pascal)
I Moment of Inertia (Kilogram Square Meter)
J Polar Moment of Inertia (Meter⁴)
J_h Moment of Inertia for Hollow Circular Shaft (Meter⁴)
K Bulk Modulus (Pascal)
k_v Bulk Modulus given Volume Stress and Strain (Pascal)
l₀ Initial Length (Meter)
L_bar Length of Bar (Millimeter)
L_beam Beam Length (Millimeter)
L_eff Effective Length (Meter)
L_shaft Shaft Length (Meter)
M_b Bending Moment (Newton Meter)
M_eq Equivalent Bending Moment (Newton Meter)
P_cs Ultimate Crushing Load for Columns (Kilonewton)
P_E Euler’s Buckling Load (Kilonewton)
P_r Rankine’s Critical Load (Kilonewton)
r Least Radius of Gyration (Meter)
T_eq Equivalent Torsion Moment
T_s Torque Exerted on Shaft (Newton Meter)
T_shaft Torque (Newton Meter)
VS Volume Stress (Pascal)
W_beam Width of Beam (Millimeter)
W_load Load (Kilonewton)
δ Deflection of Beam (Millimeter)
Δ_c Elongation in Circular Tapered Bar (Millimeter)
Δ_p Elongation of Prismatic Bar (Millimeter)
ε Strain
ε_v Volumetric Strain
λ Slenderness Ratio
σ Stress (Pascal)
σ₁ Normal Stress 1 (Pascal)
σ₂ Normal Stress 2 (Pascal)
ς_u Shear Stress on Upper Surface (Pascal)
σ_x Principal Stress along x (Pascal)
σ_y Principal Stress along y (Pascal)
𝜂 Shear Strain
𝜏 Shear Stress (Pascal)
𝜽 Total Angle of Twist (Degree)

Constants, Functions and Measurements used in Stress and Strain PDF

Constant: pi, 3.14159265358979323846264338327950288
Archimedes' constant
Function: sqrt, sqrt(Number)
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Measurement: Length in Millimeter (mm), Meter (m)
Length Unit Conversion
Measurement: Area in Square Meter (m²)
Area Unit Conversion
Measurement: Pressure in Pascal (Pa)
Pressure Unit Conversion
Measurement: Force in Kilonewton (kN), Newton (N)
Force Unit Conversion
Measurement: Angle in Degree (°)
Angle Unit Conversion
Measurement: Torque in Newton Meter (N*m)
Torque Unit Conversion
Measurement: Moment of Inertia in Kilogram Square Meter (kg·m²)
Moment of Inertia Unit Conversion
Measurement: Moment of Force in Newton Meter (N*m)
Moment of Force Unit Conversion
Measurement: Second Moment of Area in Meter⁴ (m⁴)
Second Moment of Area Unit Conversion
Measurement: Bending Moment in Newton Meter (N*m)
Bending Moment Unit Conversion
Measurement: Stress in Pascal (Pa)
Stress Unit Conversion

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