Question 5 The members of the truss shown are made of steel and have the cross-sectional areas shown. Use the work e...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
Question 4 The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss. b) Determine the horizontal and vertical displacements at node 4. c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 600 4 3 1.5m...
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 )...
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)
The cross-sectional area of each member of the truss shown in the figure is 4 = 400 mm and E = 200 GPa. (a) Determine the vertical displacement of joint Cif a 4-KN force is applied to the truss at C. (b) If no loads act on the truss, what would be the vertical displacement of joint C if member AB were 5 mm too short? (c) If 4 kN force and fabrication error are both accounted, what would be...
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)
Determine the smallest cross-sectional area A required for the members of the truss shown, so that the horizontal deflection at joint D does not exceed 10 mm. Use the virtual work method.
The truss is constructed from three aluminum alloy members, each having a cross-sectional area of A = 1350 mm2 and an elastic modulus of E = 62 GPa. Assume a = 2.8 m, b = 9.0 m, and c = 5.5 m. If the horizontal displacement of roller B must not exceed 5.0 mm, calculate the maximum vertical load Pmax that can be supported by the truss. Chapter 5, Supplemental Question 008 The truss is constructed from three aluminum alloy...
Link BD is made of brass (E 105 GPa) and has a cross-sectional area of 240 mm2. Link CE is made of aluminium (E 72 GPa) and has a cross-sectional area of 300 mm2. Knowing that they support rigid member ABC, determine the maximum force P that can be applied vertically at point A if the deflection of A is not to exceed 0.36 mm. (Round the final answer to two decimal places.) 995 mm A 150 mm E 225...
The truss is constructed from three aluminum alloy members, each having a cross- sectional area of A = 850 mm2 and an elastic modulus of E = 63 GPa. Assume a = 3.4 m, b = 11.6 m, and c = 5.7 m. If the horizontal displacement of roller B must not exceed 3.6 mm, calculate the maximum vertical load Pmax that can be supported by the truss. Answer: Pmax = KN