Problem 440 For the frame loaded as shown in Figure P-440, determine the horizontal and vertical components of the pin pressure at B. Specify directions (up or down; left or right) of the force as it acts upon member CD.

Solution 440

$\Sigma M_A = 0$

$2D_V = 1(20) + 3(30)$

$D_V = 55 ~ \text{kN upward}$

From the FBD for Member CD

$\Sigma F_V = 0$

$B_V = 55 ~ \text{kN downward}$ answer

$\Sigma M_D = 0$

$2B_H = 3(30)$

$B_H = 45 ~ \text{kN to the right}$ answer

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