4. Determine the vertical displacement of point C using Castigliano's theorem. Include axial displacements. Assume E,...
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
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
Problem 4 Write the total strain energy and use Castigliano's theorem to determine the vertical displacement of point A. Assume E, I and A are A constants. Neglect shear strain energy. L. Answer: ?- + E1 EA
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J Determine the slope at A and displacement at point C. El is constant. Use Castigliano's theorem. 8 kN/m - 4 m 3: Determine the displacement at point C. EI is constant. Use Castigliano's theorem. (Page 1 of 1 Determine the slope and displacement at point A. El is constant. Use Castigliano's theorem. ON
SOLVE B AND C USING CASTIGLIANO'S THEOREM
Consider the cantilever beam shown in . Suppose that LAB = 640(106) mm IBC = 150(106) mm". Take E 200 GPa 12 kN/m 8 kN/m موا Inc Part A Part B Determine the displacement at point C measured downward. Use Castigliano's theorem. Express your answer to three significant figures and include the appropriate units. Enter positive value if the displacement is downward and negative value if the displacement is upward. HA ? Ac...
Please show all work
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
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 slope and displacement at point A. Assume C is pinned. (Answer encircled letter only) a The principle of Virtual Work b)b Castigliano's Theorem El is constant. Use 2. 6 kN/m 3 m
Use Castigliano's theories to obtain vertical displacement of
the truss point C.
E 3 m B C A 3 m 3 m 3 m 20 kN 20 kN LLI LL
E 3 m B C A 3 m 3 m 3 m 20 kN 20 kN LLI LL
Find: Vertical displacement using CASTIGLIANO THEOREM
suue tanhot exceed 100 GIVEN: 4 AE is constant EIND: Using Castigliano's Theorem the vertical displacement at D