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

question 19

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) \(E L y ^ { \prime \prime \prime \prime } = w _ { 0 } \delta ( x + L / 2 )\)

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Definitions:

Correlations

Statistical measures that describe the extent to which two or more variables fluctuate together.

Direction

The course or path along which something moves, progresses, or points.

Strength

The quality or state of being physically strong, or the capacity for exertion or endurance, as well as a personal or collective attribute of resilience or capability.

Confidence Intervals

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter.