Question

If the deflection at the free end of a uniformly loaded cantilever beam is 15 mm and the slope of the deflection curve at the free end is 0.02 radian, then the length of the beam is

• A. 0.8m
• B. 1.0m
• C. 1.2m
• D. 1.5m

Answer 1

The correct option is B 1.0m



Deflection at free end

$=\frac{w{L}^4}{8EI}=15\times {10}^{-3}m...\left(i\right)$

Slope at free end $=\frac{w{L}^3}{6EI}=0.02radian......\left(ii\right)$

Dividing equation (i) by (ii)

$\frac{6}{8}\times L=\frac{15\times {10}^{-3}}{0.02}$

$\therefore L=1m$