The truss is constructed from three aluminum alloy members, each having a cross- sectional area of...
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...
The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of A 800 mm2 and an elastic modulus of E 70 GPa. Assume that a 4.0 m, b 10.5 m, and c 5.0 m. Calculate the horizontal displacement of roller Bwhen the truss supports a load of P 14 kN B X a The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of...
The truss shown in the figure is constructed from three aluminum alloy members, each having a cross-sectional area of A 800 mm2 and an elastic modulus of E 70 GPa. Assume that a 4.0 m, b 10.5 m, and c 5.0 m. Calculate the horizontal displacement of roller Bwhen the truss supports a load of P 14 kN B X a
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...
The A992 steel rod is subjected to the loading shown. If the cross-sectional area of the rod is 100 mm2. Neglect the size of the couplings at B and C. The elastic modulus and yield stress of A992 steel is 200 GPa and 345 MPa respectively. Determine the displacement of B and A with respect to point D. (Preserve 2 significant digits after the decimal point.) QUESTION 1 The 1992 steel rod is subjected to the loading shown. If the...
Question 5 The members of the truss shown are made of steel and have the cross-sectional areas shown. Use the work energy method to determine the vertical deflection of joint C caused by the application of the 210 kN load. E = 200 GPa 15 m 1200 L5 m 210 kN 1800 Question 5 The members of the truss shown are made of steel and have the cross-sectional areas shown. Use the work energy method to determine the vertical deflection...
(3pts): The truss is constructed of A36 steel (E -2 a cross-sectional area of 250 mm2. Answer the following s 300 Clbe wna -250 MES, AI 00 G Pa and O, 250 MPa). All truss members have (a) Determine the normal stress and strain in member CD. (b) The support at joint D uses a pin placed in double shear. The pin diameter is 20 mm Determine the average shear stress acting in the pin. 50 kN 50 kN 25...
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...
1. The members of truss are attached together by pins having 5 cm in diameter and 10 cm in length. The truss is supported by a frictionless pin at one end (joint A) and a roller system at the other joint k). The load Lis equal to 5 kN. The section view of the truss member is below and it is homogeneous all along the truss. Elastic modulus is 200 GPa, shear modulus is 75 GPa for the truss. (a)...
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...