LEVEL 3 ENGINEERING PRINCIPLES – LOADED COMPONENTS EQUATIONS Direct and Shear Loading Equations Subject
Equation
Direct Stress
đ??ˆ=
đ?‘đ?’? đ?‘¨
Direct Strain
đ?œş=
∆đ?’? đ?’?đ?’?
Variables and Units Ďƒ = direct stress in Pascals (Pa) Fn = force normal to plane in Newtons (N) A = area of material plane in meters squared (m2) Îľ = direct strain (dimensionless)
Elastic Modulus
Shear Stress
đ?‘Ź=
đ??ˆ đ?œş
đ?‘đ?’‘ đ??‰= đ?‘¨ đ?’… đ?’‰
Shear Strain
đ?œ¸=
Modulus of Rigidity
đ??‰ đ?‘Ž= đ?œ¸
ΔL = change in length in meters (m) Lo = original length in meters (m) E = Elastic Modulus in Pascals (Pa) τ = shear stress in Pascals (Pa) Fp = force parallel to plane in Newtons (N) γ = shear strain (dimensionless) d = deflection in meters (m) h = height in meters (m) Modulus of Rigidity in Pascals (Pa)