A Uniform Beam of Length L Has a Concentrated Load $w _ { 0 }$

Multiple Choice

A uniform beam of length L has a concentrated load, $w _ { 0 }$ , at $x = L / 2$ . It is embedded at the left end and simply supported at the right end. If $y ( x )$ is the vertical deflection, then the correct differential equation for y, is

A) $E L y ^ { \prime \prime \prime \prime } = w _ { 0 } \delta ( x - L / 2 )$
B) $y ^ { \prime \prime \prime \prime } = E l w _ { 0 } \delta ( x - L / 2 )$
C) $E L y ^ { \prime \prime } = w _ { 0 } \delta ( x - L / 2 )$
D) $y ^ { \prime \prime } = E l w _ { 0 } \delta ( x - L / 2 )$
E) $E L y ^ { \prime \prime \prime \prime } = w _ { 0 } \delta ( x + L / 2 )$