Question

CE 160 Problem 1(15% 4 k B 12 ft AR 24 ft The statically determinate rigidly connected frame has a pin support at point A and a roller support at point C. The frame is subjected to a point load at point B. The frame is rigidly con- nected at point B. If the bending stiffness of column AB is 40,000 k-ft and the bending stiffness for beam BC is 60,000 k-ft, find: I. (596) The bending moment diagram for the frame. Show your moment diagram on an outline of the frame using the given sign convention. 2. (1%) Sketch the virtual system you would use to find the rotation at the pin connection at point A. 3. (590) Find the bending moment diagram of the virtual system that you sketched in Part 2. Show your moment diagram on an outline of the frame using the given sign convention. 4. (4%) Find the rotation at the pin connection at point A using the principle of virtual work in radians. State if the rotation is clockwise or counter-clockwise. Note that a table is provided to aid your calculations on page 3 of this exam.

Answer 1

4k B ETg1 쇼 2f 2ft fir Ag MCA) VIn) 12 2-4 BMO 48kFt 288 ELAg ELB 39y OA 283 toooo 60000 0.0136 ad 24 ft