Suppose the Deflection D of a Beam of Length L $D = 6 x ^ { 4 } - 9 L x ^ { 3 } + 2 L ^ { 2 } x ^ { 2 }$

question 27

Multiple Choice

Suppose the deflection D of a beam of length L is $D = 6 x ^ { 4 } - 9 L x ^ { 3 } + 2 L ^ { 2 } x ^ { 2 }$ where $x$ is the distance from one end of the beam. Find the value of x that yields the maximum deflection.

• A) \(x = 0.156 L\)
• B) \(x = 0.363 L\)
• C) \(x = 0.175 L\)
• D) \(x = 0.362 L\)
• E) \(x = 0.176 L\)

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