Question

What is the uplift at centre on release of wires from anchors due to pretensioning only for force $P$ and eccentricity $e$ for a pre-tensioned rectangular plank?

• A. $\frac{Pe{L}^2}{6EI}$
• B. $\frac{P{e}^{2}L}{6EI}$
• C. $\frac{Pe{L}^2}{8EI}$
• D. $\frac{P{e}^{2}L}{8EI}$

Answer 1

The correct option is C $\frac{Pe{L}^2}{8EI}$



from Mohr's moment area method:
$a=\frac{Pe\times \frac{L}{2}\times \frac{L}{4}}{EI}=-\frac{Pe{L}^2}{BEI}$