Question

A load 280 kN applies at point A, as shown in figure below, produces a vertical deflection at B and C of the beam as ${\delta }_B=10\text{mm and}{\delta }_c=12\text{mm respectively}$
What is the deflection at A when loads of 100 kN and 150 kN are applied at 'B' and 'C' respectively?

• A. 26 mm
• B. 9.64 mm
• C. 10 mm
• D. 46 mm

Answer 1

The correct option is C 10 mm

Using maxwell's Betti's theorem

$280\times {\delta }_A={\delta }_B\times 100+{\delta }_c\times 150$

${\delta }_A\times 280=10\times 100+12\times 150$

${\delta }_A=10mm$