Structural engineering basic

Bending Stress - f_b = M/S or f_b = Mc/I

General Transverse Shear Stress - f_v = VQ/Ib

Maximum Shear Stress (Solid Rectangular Section) - f_v = 3V/2A

Axial Stress - f_a = P/A

Axial Deformation (Elongation) - Delta = PL/AE

Moment of Inertia (Solid Rectangle) - I = bd^3/12

Section Modulus (Solid Rectangle) - S = bd^2/6

Max Bending Moment (Simply Supported, Uniform Load) - M = wL^2/8

Max Deflection (Simply Supported, Uniform Load) - Delta = 5wL^4/384EI

Max Bending Moment (Simply Supported, Point Load at Midspan) - M = PL/4

Max Deflection (Simply Supported, Point Load at Midspan) - Delta = PL^3/48EI

Modulus of Elasticity of Normal Weight Concrete - E_c = 57,000 * sqrt(f'_c)

Concrete Nominal Shear Capacity (Simplified) - V_c = 2 * lambda * sqrt(f'_c) * b_w * d

Depth of Equivalent Rectangular Stress Block (Whitney) - a = (A_s * f_y) / (0.85 * f'_c * b)

Nominal Flexural Moment Capacity (Singly Reinforced) - M_n = A_s * f_y * (d - a/2)

Nominal Tensile Strength (Yielding in Gross Section) - P_n = F_y * A_g

Nominal Tensile Strength (Rupture in Net Section) - P_n = F_u * A_e

Plastic Moment Capacity - M_p = F_y * Z_x

Yield Moment Capacity - M_y = F_y * S_x

Seismic Base Shear - V = C_s * W

Wind Velocity Pressure - q_z = 0.00256 * K_z * K_zt * K_d * K_e * V^2

LRFD Controlling Gravity Load Combination - 1.2D + 1.6L

ASD Controlling Uplift Load Combination - 0.6D + 0.6W