Fi P 0.5 m. 1 m Q 3 m Wg E D
A prefabricated structure is used to construct a bus stop. Several forces are applied to this rigid body as shown in the cross section in the Figure below. The acting loads on the cross section are represented by three concentric forces F⃗1 = 60 kN at I, F⃗2 = 10 kN at G, and F⃗3 = 40 kN at Q, and a couple M⃗1 = 250 kNm (clockwise) at H. The distributed load effects from the snow are vertical acting between points N and P on the canopy, and points D and C on the lower slab. The distributed load between N and P increases linearly from 0 to a magnitude equal to w1 = 15 kN/m, while the distributed load from D to C starts with a magnitude w2 = 18 kN/m and decreases linearly to w3 = 10 at G due to the wind effect. The angle α of force F⃗1 with the horizontal line is 25o. F⃗2 is vertical, while F⃗3 is horizontal. Do the following:
1. Find the reduced force-couple system at point E.
2. Substitute the force-couple system with a single force system R and its position from E.
3. Sketch R with respect to point E.
Step by step
Solved in 4 steps with 2 images
