A simple truss shown in Figure 1 consists of four identical members (AB, BC, CD, and...
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A simple truss shown in Figure 1 consists of four identical members (AB, BC, CD, and DB). All members have the same length (L 1 m) and the same rectangular cross section (h x w, see the figure below). The width (w) and height (h) of the cross section are 8 mm and 10 mm, respectively. The four members are joined by pins at A, B, C, and D. Note that A and D are double shear connections, whereas B and C are single shear connections, respectively. W A h Cross sectional view at a---a D L a a B 60⁰ 60% L- с P Figure 1: Truss with point load a) Determine the maximum vertical load P (downward) that can be applied at C considering the failure normal stresses of AB, BC, CD, and DB are 400 MPa in tension and 240 MPa in compression. Use F.S. = 2 for normal stress. b) When the truss is under the maximum vertical load P obtained in part a), determine the minimum diameters of pins at A, B, C, and D. Note that the failure shear stress is 160 MPa for all pins. Use F.S. = 3 for shear stress. A simple truss shown in Figure 1 consists of four identical members (AB, BC, CD, and DB). All members have the same length (L 1 m) and the same rectangular cross section (h x w, see the figure below). The width (w) and height (h) of the cross section are 8 mm and 10 mm, respectively. The four members are joined by pins at A, B, C, and D. Note that A and D are double shear connections, whereas B and C are single shear connections, respectively. W A h Cross sectional view at a---a D L a a B 60⁰ 60% L- с P Figure 1: Truss with point load a) Determine the maximum vertical load P (downward) that can be applied at C considering the failure normal stresses of AB, BC, CD, and DB are 400 MPa in tension and 240 MPa in compression. Use F.S. = 2 for normal stress. b) When the truss is under the maximum vertical load P obtained in part a), determine the minimum diameters of pins at A, B, C, and D. Note that the failure shear stress is 160 MPa for all pins. Use F.S. = 3 for shear stress.
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