The assembly shown below is made of aluminum, which has an elastic modulus of 70 GPa....
A tie rod (1) and a pipe strut (2) are used to support a 50-kN load, as shown. The cross-sectional areas are A1 =650 mm2 for tie rod (1) and A2 = 925 mm2 for pipe strut (2). Both members are made of structural steel that has an elastic modulus of E=200 GPa. a) Determine the axial normal stresses in tie rod (1) and pipe strut (2). b) Determine the elongation or contraction of each member. c) Sketch a deformation...
A2 m long column made of structural steel with elastic modulus of 200 GPa is loaded in axial compression. If the cross section of the column is a 20 mm by 50 mm rectangle, and one end is fixed and the other end is pinned, the maximum axial load that the column can bear before buckling, in kN, is (round to the nearest whole number)
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...
Problem 4 Statically Indeterminate Axially Loaded Members (25pts) A tie rod (1) and a pipe strut (2) are used to support a 50 kN load, as shown. The cross-sectional areas are A1 = 650 mm2 for tie rod (1) and A2 = 925 mm2 for pipe strut (2). Both members are made of structural steel that has an elastic modulus E 200 GPa. (a) Determine the normal stresses in tie rod (1) and pipe strut (2)·(b) Determine the elongation or...
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...
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
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 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
The rigid bar shown is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A1 = 250 mm2, an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of α= 11.3 × 10-6/°C. The pin at C has a diameter of 40 mm. After load P has been applied and the temperature of the entire assembly has been increased by 10°C, the total strain in...
for 60,000 the 1D bar shown with an elastic modulus of 200 GPa, cross-sectional area of 12.5x10 m2, and length of 1.5 m. determine the following e(x) dx d. σ(x) o (x) dx a) Theoretical axial displacement equation based on ö(x) dx E F(x) dx EA |zE