Gere & Goodno — Tension, Compression, and Shear: Problem 1.3-24

1.3-24 A plane frame is constructed by using a pin connection between segments ABC and CDE. The frame has pin supports at A and E and joint loads at B and D (see figure). (a) Find reactions at supports A and E. (b) Find the resultant force in the pin at C. Given Data from Figure: Dimensions: $AB = 6\text{ m}$ (vertical), $BC = 3\text{ m}$ (horizontal), $CD = 3\text{ m}$ (horizontal), $DE = 3\text{ m}$ (vertical). Load at $B$: $10\text{ kN}$ horizontal force acting to the left. Load at $D$: $10\text{ kN}$ vertical force acting downward and a clockwise couple moment of $90\text{ kN}\cdot\text{m}$. Supports: Pin support at $A$ (bottom of member $AB$) and pin support at $E$ (bottom of member $DE$).