Solid Mechanics

Solid Mechanics

1. Stress and Strain

   • Tension = Positive
   • Compression = Negative
   • Stress
     • Normal Stress=Force/Area
     • Stress=Youngs Modulus.Strain
     • Strain=change in length/original length
   • Elongation=Force.length/Area.E
     • DisplacementB=DisplacementA+ElongationAB

2. Torsion

   • Shear Stress
     • Shear Stress for a circle(MAx)=16T/piD^3
     • Shear Stress (Max)=Tr/Ip
   • Total angle twist=TL/GIp
     • Angle = Torque.Length/Shear Modulus of elasticity.Moment of Inertia
   • Ip=piD^4/32

3. Beam Bending and Moment of Inertia

   • I=bh^3/12
   • Stress=Mmax.C/I
     • Stress=Max moment.Centroid/Inertia