


two-member truss is subjected to a load P 8000 N. Me mber 1-2 is 400 mm...
1) A three-member plane truss is shown in the figure. Member (2) has a cross section of 65 mm' and is made of steel (E = 207 GPa) while members (1) and (3) have a cross section of 75 mm² and are made of Aluminum (E = 70 GPa). Determine displacement at the free end (node 3) and stresses in each member. Solve this problem by analytical method discussed in the class (and lecture notes). 12 KN (1) 30 2.50...
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...
Problem 2: The figure below shows a two-member plane truss supported by a linearly elastic spring. The truss members are of a solid circular cross section having diameter, d = 20mm, and E = 80 GPa. The linear spring has a stiffness constant of 50 N/mm. A load of 15 kN is applied at 3 at an angle of 50 degrees with the horizontal. Find (a) The global displacements of the unconstrained node and (b) compute the reaction forces and...
Problem 2) Combined Loading (30 points) The structure shown has a diameter of 40 mm. The length dimensions are a 500 mm and d -100 mm. Using load magnitudes of P.-3000 N, 1000 N, and B-1500 N, determine the normal and shear-stresses in the structure at point H. (Point H is co-planar with the x-y plane.) The cross-sectional properties are A 1257 mm2 J = 251,327 mm" 1,-1,-125,664 mm4 emax -5333 mm3 Present your answers in the following stress tensor...