102年 - 102 國立嘉義大學_碩士班(甲組)招生考試試題_生物機電工程學系：工程力學#146373

1. For the frame and loading shown, determine the reactions at A and E when .(25％)

2. A uniform slender rod AB rests on a frictionless horizontal surface, and a force P of magnitude 1 N is applied at A in a direction perpendicular to the rod. Knowing that the rod weighs 9 N, determine the acceleration of (a) Point A, and (b) Point B. (25％)

3. The rectangular wood panel is formed by gluing together two boards along the 30 degree seam as shown in the figure. Determine the largest axial force \( P \) that can be carried safely by the panel if the working stress for the wood is 8 N/mm², and the normal and shear stress in the glue are limited to 5 N/mm² and 3 N/mm² respectively. (Hint: cos30° = 0.866, sin30°=0.50, sin60°=0.866, cos60°=0.50) (25%)

4. Draw the shear-force and bending-moment diagrams for the beam shown by the area method. (25％)