Question

A bar is subjected to an axial forces as shown in figure. Find the total elongation in the bar. ($E$ is the modulus of elasticity of the bar and $A$ is its area of cross-section)

• A. $\frac{FI}{AE}$
• B. $\frac{2FI}{AE}$
• C. $\frac{3FI}{AE}$
• D. $\frac{4FI}{AE}$

Answer 1

Answer: (D)

$\frac{4FI}{AE}$

$\begin{array}{c}\text{elongation of first}half=\frac{3Fl}{AE}\\ \text{elongation of Second half}=\frac{Fl}{AE}\\ \text{Total elongation}=\frac{4Fl}{AE}\end{array}$