Category: SOM

Strength of Materials · Chapter 4 Centroids and Moments of Inertia Centroid · MOI Derivations · Product of Inertia · Parallel Axis Theorem · Perpendicular Axis Theorem · Principal Axes · All Standard Sections with Diagrams x̄ = ΣAx̄/ΣA I_x = ∫y²dA I = I_c + Ad² I_p = I_x + I_y 📋 Table of…

Strength of Materials · Chapter 5 Bending Stress in Beams Pure Bending · Flexure Formula · Section Modulus · MOR · Composite Beams · Flitched Beam · Uniform Strength · Biaxial Bending M/I = σ/y = E/R Z = I/y_max σ = m·σ_other σ = ±My/I ± P/A 📋 Table of Contents 5.1 Effect of…

Strength of Materials · Chapter 1 Properties of Materials Stress · Strain · Stress-Strain Curves · Mechanical Properties · Creep · Fatigue · Failure Modes σ = P/A ε = δ/L U_r = σ_y²/2E M_T = ½(σ_y+σ_u)·ε_f 📋 Table of Contents Normal Stress Strain — Engineering vs True Tension Test — Stress-Strain Curve for Mild…

Strength of Materials · Chapter 2 Simple Stress-strain & Elastic Constants Stress Tensor · Strain Types · Hooke’s Law · E, G, K, μ · Deflection · Temperature Stresses · Strain Energy σ = Eε G = τ/φ E = 3K(1−2μ) E = 2G(1+μ) σ = EαT 📋 Table of Contents 2.1 Stress — Normal…

Strength of Materials · Chapter 3 Shear Force and Bending Moment Loadings · Supports · Beams · Sign Conventions · SFD · BMD · Important Rules · Integration Method dS/dx = −w dM/dx = S d²M/dx² = −w M_max(UDL) = wL²/8 📋 Table of Contents 3.1 Types of Loading 3.2 Types of Supports (2D and…

Strength of Materials · Chapter 6 Shear Stress in Beams Shear Stress Formula · Rectangular · Triangular · Circular · I-Section · Other Sections · Composite Beams τ = SAȳ/Ib τ_max(rect) = 3S/2bd τ_max(circ) = 4S/3πR² τ_max(tri) = 3S/2bh at h/2 📋 Table of Contents 6.1 Shear Stress Distribution — General Formula (Derivation) 6.1.1 Rectangular…