Mechanics of Materials Formulas

Description

FE Engineering Flashcards on Mechanics of Materials Formulas, created by Joshua Morris on 19/05/2020.
Joshua Morris
Flashcards by Joshua Morris, updated more than 1 year ago
Joshua Morris
Created by Joshua Morris almost 4 years ago
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Question Answer
Thin-Walled Sections: Angle Of Twist
Axial: Strain ε = σ/E = δ/L
Axial: Stress σ = P/A = Eε
Axial: Stiffness k = P/δ = P/(εL) = 1/f = EA/L
Axial: Flexibility f = δ/P = (εL)/P = 1/k = L/EA
Shear Modulus G = E/[2(1+ν)]
Axial: Shear Stress τ = V/Av = Gγ
Poisson's Ratio ν = -(ε'/ε)
Axial: Temperature Strain ε = α⋅ΔT
Axial: Temperature Displacement δ = εL
Load, Bending, & Shear Relationships
Torque: Angle of Twist
Torque: Torsional Constant
Torque: Angle of Twist (Integral)
Torque (Thin-Walled): Shear Stress
Torque: Stiffness
Torque: Energy Density
Axial: Temperature Strain
Torque (Thin-Walled): Integral
Axial: Temperature Deflection
Torque: Maximum Shear Stress
Torque: Shear Stress
Stress Concentration
Strain vs. Shear Strain
Axial: Internal Energy
Section Modulus
Shape Factor
Torque (Thin-Walled): Shear Flow
Shear Stiffness
Torque: Shear Strain
Polar Moment of Inertia
Plastic Moment of Inertia
Power
Torque: Rate of Twist
Axial: Ramberg-Osgood Deflections
Mohr's Circle (Stress): Stresses at Angles
Bending: Moment-Stress Relationship
Bending: Moment-Curvature Relationship
Moment of Inertia Relationships
Mohr's Circle (Stress): Mean, Average, and Radius
Mohr's Circle (Strain): Principal Strains
Mohr's Circle (Stress): Principal Stresses
Mohr's Circle (Strain): Strains at Angle
Mohr's Circle (Strain): Mean, Average, and Radius
Torque: Max Shear Stress
Torque: Internal Energy
Axial: Modulus of Resilience
Torque: Max Shear Strain
Torque: Internal Energy (Simplified)
Axial: Internal Energy (Simplified)
Ramberg-Osgood Equation
Torque: Internal Energy (Simplified)
Axial: Internal Energy
Curvature, Load, Shear, & Moment Relationships
Bending: Stress (Simplified)
Axial: Deflection
Bending: Strain (Simplified)
Centroid
Bending: Shear Stress & Shear Flow
Bending: Shear Stress
Bending: Stiffness
Bending: Moment-Stress-Curvature Relationships
Bending: Radius of Curvature
Bending (Small Deflections): Radius of Curvature
Bending: Moment of Inertia
Bending: Basic Moment-Stress Relationship
Bending: Max Tensile Stress
Torque (Thin-Walled): Angle of Twist
Bending: Rate of Bending-Moment Relationship (Simplified)
Bending: Max Compressive Stress (Simplified)
Bending: Curvature vs. Radius of Curvature
Bending (Composites): Moment-Curvature Relationship
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