
8_57 please Probs. 8-55/56 -57. Determine the vertical displacement at A. Take E = 200 GPa,...
8-55 : Determine the vertical displacement of point C. EI is
constant. Use the method of virtual work.
-55. Determine the vertical displacement of point C. El is constant. Use the method of virtual work. $-56. Solve Prob. 8-55 using Castigliano's theorem. 80 kN m 20 kN B 4 m Probs. 8-55/56
Determine the horizontal displacement at A. Take E = 200 GPa. The moment of inertia of each segment of the frame is indicated in the figure. Assume D is a pin support. Use the method of virtual work. Prob. 8-44 60 kN/m B 1pc = 300(10%) mm 8 m AB= 200(106) mm IcD = 200(10%) mm 6 m
*9–40. Use the method of virtual work and determine the slope at A of the beam made from steel. E = 200 GPa, 1 = 100(106) mm. 9-41. Solve Prob. 9–40 using Castigliano's theorem. 40 kN 40 KN 1.5 m +1.5 m-+-1.5m-+-1.5m-- Probs. 9–39/40/41 9-42 Determine the displacement at point I Ise the
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4 kN 2. Use Castigliano's theorem to find the vertical displacement of joint C on the truss. The cross- sectional area of each member is 100 mm2. Take E = 200 GPa. 1.5 m
2. Determine the vertical displacement at joint B and horizontal displacement at joint D using Castigliano's Second Theorem. The truss is pinned and roller at A and C, respectively. Use, E = 200 GPa and A = 2400 mm. E = 200 x 10°N/m². 20 KN 60 CAB 4 m 3m 3m
Castigliano’s Theorem
Determine the horizontal and vertical displacement at point E (in millimeters). E = 200 GPa. All
the bars have an area of 5000 mm2
75 KN 4 m 4 m ITm
Determine the vertical and horizontal displacement at F. Mernber Young's Modulus, E - 200 GPa Member Cross-sectional Area, A-6.25e-4 m2 You must submit your solution in the online short answer dialog box. Your solutions must be supported by your hand-written calculations to receive credit 120 KN F m B 3 m E. m
20 kN 5 Determine the vertical displacement of joint B. Assume the members are pin connected at their end points. Take A = 200 mm and E= 200 GPa for each member. Use the method of virtual work. 12 kN #m B 4 m
Determine the vertical displacement of point C. El is constant. Use the method of virtual work. Prob. 8-55 80 KN.m 20 KN B -3 m 4 m
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300 105) mm,A 10(10) mm2 for each member. 16-6. Determine the support reactions at the fixed supports D and . Take E-200 GPa,1 300 (10) mm, A 10(10) mm2 for each member. 12 kN/m 2 m 4 m 12 2 m Probs. 16-5/6
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300...