Problem 4 Write the total strain energy and use Castigliano's theorem to determine the vertical displacement...
4. Determine the vertical displacement of point C using Castigliano's theorem. Include axial displacements. Assume E, I, and A are constant. 18 kN/m 3m- 2m Alle
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
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-1 (15 points) A cantilever beam ACB supports a concentrated load P and a couple moment Mo, as shown in the figure below. (a) Determine the total strain energy of the beam, (b) Determine the deflections δ and δ8 at points C and B respectively. (c) Determine the angle of rotations 0 and θι, at points C and B respectively. Use the Castigliano's theorem(s). Assume that the beam's flexural rigidity is EI Mo Problem-1 (15 points) A cantilever beam ACB...
* 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...
PROBLEM #2 (35 points) Using Castigliano's method, determine the vertical deflection at the middle of the simply supported beam (point E) shown in the figure due to the vertical load P applied at point E. The second area moments for sections AC, CD and DB are 21, I and 21, respectively. Ar 21 - 21B I 1/4 1 1/4 1 1/4 1 1/4
Please solve using work/energy principles and Castigliano's theorems Find the compressive force in bar CD and the horizontal displacement at point C for the structural system of an L-shaped frame and a truss bar. The frame has a constant bending rigidity EI. The strain energies due to shearing force and axial force are negligible in comparison with that due to bending moment in the frame structure ABC. Hint: Assume the force in BC beam and CD bar is S. Solve...
Q1. (45p) Use Castigliano's Theorem to find the vertical deflection at point B for the given member under the load of P. The member is fixed at A and free at the other end. 450 Divide the member in two sections AB and BC. Use the figures below if necessary BF a=45° Use the values below to compare the contribution of each component to total deflection. R = 75 mm, h = 30 mm, b = 15 mm. P =...