Problem 638 For the cantilever beam shown in Fig. P-638, determine the value of EIδ at the left end. Is this deflection upward or downward?
Solution 638
$EI \, t_{A/B} = (Area_{AB}) \, \bar{X}_A$
$EI \, t_{A/B} = 2(2)(3) - \frac{1}{2}(4)(1)(\frac{8}{3})$
$EI \, t_{A/B} = \frac{20}{3} = 6.67 \, \text{ kN}\cdot\text{m}^3$
∴ EIδ = 6.67 kN·m3 upward answer
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