Formulas for mechanical engineering principles

Formulas for mechanical engineering principles:

Stress=Force/ cross sectionalarea

 s = F/APa

Strain = change in length/length e = x/L

Young’s modulus of elasticity = stress

strain E = s/ε Pa

Stiffness = force/extension

 k = F/δ. N/m

Modulus of rigidity = shear stress/shearstrain  G = t/γ Pa

Thermal strain = coefficient of linear expansion × temperature rise

e = aT

Ultimate tensile strength =

maximum load/original cross sectional area Pa

Moment = force × perpendicular distance

M = Fd N-m

Torque = force × perpendicular distance

T = Fd N-m

Power = torque × angular velocity

 P = Tw = 2pnT W

Horsepower 1 hp = 745.7 W

Torque = moment of inertia × angular acceleration

T = Ia N-m

Average velocity = distance travelled/ Timt taken

V=S/T. m/sec

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