所屬科目:研究所、轉學考(插大)◆工程力學
1. A slender rod of length l is pivoted about a Point C located at a distance b from its center G. It is released from rest in a horizontal position and swings freely. Determine (a) the distance b for which the angular velocity of the rod as it passes through a vertical position is maximum, (b) the corresponding values of its angular velocity and of the reaction at C.(25%)
2. The axis of the three-hinge arch ABC is a parabola with vertex at B. Knowing that P = 112 kN and Q = 140 kN, determine (a) the components of the reaction at A, (b) the components of the force exerted at B on segment AB. (25%)
3. The overhanging beam in figure, draw the shear force and bending moment diagrams for the beam. Neglect the weight of the beam. (25%)
4. The cantilever beam ABC with elastic modulus E has different cross-sections with the moments of inertia shown in the figure. Determine the displacement δ at point A. (25%)