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
Castigliano’s Theorem Determine the horizontal and vertical displacement at point E (in millimeters). E = 200...
Question 1 (25%) For the truss shown on figure 1, determine the horizontal displacement of point C when P 1000 N and P2 -0. Also, determine the vertical displacement of point F when P 0 et P2 1000 N. All members are prismatic and have the same elastic modulus fixed at 200 GPa. Area of each member is indicated in brackets (mm2). A (4000)B(400C (3000 (3000 2,75 D(5000 E(5000) Pi Figure 1
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
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
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
Use the stiffness method to determine the horizontal and vertical components of the displacement at Joints C and D. For all bars, E = 206.8 GPa and A = 1290 mm². Take i = 70 kN and j = 80 kN. 3.66 m 4.88 m Joint C: a) Az = b) 4y = Joint D: c) 4, = d) 4, =
Q3: Determine the vertical and horizontal displacement of joint A for the truss shown in Fig. (3). each bar is made of steel and has the cross-sectional area of 400mm Take E = 200 GPa Use the method of virtual work. E D 2 m |в -1.5 m -1.5 m 20 KN 40 KN Fig. (3)
Q3: Determine the vertical and horizontal displacement of joint A for the truss shown in Fig. (3), each bar is made of steel and has the cross-sectional area of 400mm?. Take E = 200 GPa. Use the method of virtual work. E D 00. 2 m СІ Ao cocoa B 1.5 m 1.5 m 20 KN 40 kN Fig. (3)
15 m B- Question 3: Each member of the truss shown is made of steel (E- 2 1 0 GPa ) and has a cross-sectional area of A If you know that the joint E subjected to horizontal load 16-kN Determine: .The horizontal displacement of point E . The vertical displacement of point C. 400 mm2 0.8m 16 KN 15 m B- Question 3: Each member of the truss shown is made of steel (E- 2 1 0 GPa )...
i need the answer quickly fast as you can Q3: Determine the vertical and horizontal displacement of joint A for the truss shown in Fig. (3), cach bar is made of steel and has the cross-sectional area of 400mm? Take E = 200 GPa. Use the method of virtual work. 25% E 2 m А. cool B 1.5 m -1.5 m 20 KN 40 KN
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