Strength of Materials

SALIENT POINTS

• When a beam is subjected to same type of loadings the beam deflects from its original position.
• Strength and stiffness are the two main design criteria for a beam.
• As per the strength criterion of the beam design, it should be strong enough to resist the bending stresses and shear stresses. As per the stiffness criterion, the beam should be stiff enough not to deflect more than the permissible limit.
• Elastic curve is the deformed position of the neutral axis due to loading.
• At a section of a loaded beam the following properties may be needed.

  Deflection = y

  Slope = dy/dx

  Bending moment =

  Shear force =

  Rate of loading =

• In MeCaulay’s ...