Multiple choice

A triangular-shaped cantilever beam of uniform-thickness is shown in the figure. The Young's modulus of the material of the beam is E. A concentrated load P is applied at the free end of the beam.

The maximum deflection of the beam is

  1. $\frac{24pI^3}{Ebt^3}$
  2. $\frac{12pI^3}{Ebt^3}$
  3. $\frac{8pI^3}{Ebt^3}$
  4. $\frac{6pI^3}{Ebt^3}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\text{We know that deflection equation is}\\ EI\frac{d^2t}{dx^2} = M = P \times x \\ \frac{d^2y}{dx^2} = \frac{1}{EI} P \times x$

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