Question

When the tendon of a rectangular prestressed beam of cross-sectional area $A$ is subjected to a load $W$ through the centroidal longitudinal axis of beam, (where $M$ = maximum bending moment and $Z$ = section modulus) then the maximum stress in the beam section will be

• A. $\frac{W}{A}-\frac{M}{Z}$
• B. $\frac{W}{A}+\frac{M}{Z}$
• C. $\frac{A}{W}-\frac{Z}{M}$
• D. $\frac{A}{W}+\frac{Z}{M}$

Answer 1

The correct option is B $\frac{W}{A}+\frac{M}{Z}$

The maximum stress in block is compressive which occurs at mid of span and will be equal to
$\frac{W}{A}+\frac{M}{Z}$