Third Assignment (Chapter 4 - Plane TrussES) This exercise is developed to increase your confidence level...

Transcribed Image Text:

Third Assignment (Chapter 4 - Plane TrussES) This exercise is developed to increase your confidence level in solving plane trusses problem using FEM. Try to solve this problem MANUALLY in no more than 30 minute for each problem. Solve Example 4-4 below using element connectivity order as shown in Table 1, 2 AND 3. Show in detail the steps and proof that using the element connectivity order as suggested has something to do with angle or orientation of the truss element but does not affect the final answer. Example 4-4 For a plane truss shown, determine: a) displacements at nodes 2 and 3; b) stresses in each element; c) reaction forces at the supports. Use: E = 29.5 x 106 psi and A. = 1 in for all elements. 30 in. 40 in. Table 1 25 000 ib Element Nodes connectivity 1 2 1 2 2 3 3 3 1 4 3 4 E=29.5 x 106 psi A 1.0 in? 20 000 lb Repeat Example 4.4 but this time, using the following order of elements and nodes connectivity Table 2 Nodes connectivity Element 1 1 2 2 3 2 3 1 3 4 3 4 Repeat Example 4.4 but this time, using the following order of elements and nodes connectivity Element Table 3 Nodes connectivity 1 1 2 2 2 3 3 1 3 4 4 3 THEN COMPARE THE RESULTS OBTAINED Third Assignment (Chapter 4 - Plane TrussES) This exercise is developed to increase your confidence level in solving plane trusses problem using FEM. Try to solve this problem MANUALLY in no more than 30 minute for each problem. Solve Example 4-4 below using element connectivity order as shown in Table 1, 2 AND 3. Show in detail the steps and proof that using the element connectivity order as suggested has something to do with angle or orientation of the truss element but does not affect the final answer. Example 4-4 For a plane truss shown, determine: a) displacements at nodes 2 and 3; b) stresses in each element; c) reaction forces at the supports. Use: E = 29.5 x 106 psi and A. = 1 in for all elements. 30 in. 40 in. Table 1 25 000 ib Element Nodes connectivity 1 2 1 2 2 3 3 3 1 4 3 4 E=29.5 x 106 psi A 1.0 in? 20 000 lb Repeat Example 4.4 but this time, using the following order of elements and nodes connectivity Table 2 Nodes connectivity Element 1 1 2 2 3 2 3 1 3 4 3 4 Repeat Example 4.4 but this time, using the following order of elements and nodes connectivity Element Table 3 Nodes connectivity 1 1 2 2 2 3 3 1 3 4 4 3 THEN COMPARE THE RESULTS OBTAINED