Use the virtual work method to determine the slope and deflection at point D of the beam shown. -15 ft 35 k B 15 ft El = constant 10,000 ksi I= 2,500 in.4 1 -15 ft-

3. Calculate the slope and deflection at the 60-kNm couple on the structure shown in the accompanying illustration. Use: a. Moment Area Method, b. Conjugate Beam Method 4 kN/m Fixed Hinge 60 kNm 5 m 5 m -5m- I=1.46 x 10° mm". E=20000OMPA

For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at C (positive if counterclockwise and negative if clockwise). (b) the deflection of the beam at C. Assume LAB = 250 mm, LBC= 170 mm, LCD= 130 mm, LDE = 310 mm, Mp = 270 N-m, P = 1610 N and a constant value of EI = 590 × 106 N- mm2 for the beam. P MB B D LAB LBC LCD LDE Answers: (а) Ос 3 rad (b) vc = mm

Example 6 Use virtual work find to the deflection under the load and at the tip of the uniform cantilever shown below given that / = 1500x10 mm, and E= 15 kN/mm². a 4m b 25 KN 4 2m