Question

Deflection limitations over beams are imposed because excessive deflection may cause

• A. undersirable twisting and distortion of end connections
• B. Problems in drainage system
• C. Psychological effect on users
• D. all of the above

Answer 1

The correct option is D all of the above

let the reaction at the hinge be R



Now the deflection at C will be equal

$i.e.,\frac{W{L}^4}{8EI}-\frac{R{L}^3}{3EI}=\frac{R{L}^3}{3EI}$

$\therefore \frac{10\times (4{)}^4}{8}-\frac{R\times 4^3}{3}=\frac{R\times 4^3}{3}$

$\to \frac{2\times R\times 64}{3}=\frac{10\times 4^4}{8}$

$\because R=\frac{3\times 10\times 4^4}{8\times 2\times 64}=7.5kN$