Question

What will be the ratio of deflection at centre for a flexible plate and rigid plate having area ratio 2:1?

• A. 3.12
• B. 1.80
• C. 2.54
• D. 0.90

Answer 1

The correct option is B 1.80

For flexible plate, deflection at centre

${\Delta }_1=\frac{1.5p{a}_1}{E}$

For rigid plate, deflection at centre

${\Delta }_2=\frac{1.18p{a}_2}{E}$

Now, $\frac{{\Delta }_1}{{\Delta }_2}=\frac{1.5}{1.18}\left(\frac{a_1}{a_2}\right)$

$=\frac{1.5}{1.18}\sqrt{\frac{A_1}{A_2}}$

$=\frac{1.5}{1.18}\sqrt{2}$

= 1.788 = 1.8