Question

For the propped cantilever shown in the figure. Influence line for reaction at the propped end is given by $y_1=f\left(x\right).$



The influence line ordinate $\left(y_2\right)$ for moment at A is given by the equation

• A. $y_2=x-f\left(x\right).x$
• B. $y_2=x-f\left(x\right).L$
• C. $y_2=f\left(x\right).L$
• D. $y_2=f\left(x\right).x$

Answer 1

The correct option is B $y_2=x-f\left(x\right).L$

$MomentatA=reactionatB\times L-load\times x$
$=f\left(x\right).L-x$

Now moment can be expressed as
$y_2=x-f\left(x\right).L$