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2w 45 FIGURE 04 Situation 4: For the truss shown in Fiqure 04, the cross sectional...
The cross-sectional area of each member of the truss shown in the figure is 4 =...
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...
The following truss is subjected to vertical loads of 20 KN at joints E and D....
The following truss is subjected to vertical loads of 20 KN at
joints E and D. In addition to the loads, support A settles by 5 mm
and member AB and BC are subjected to a temperature drop of 50°C.
Given Young’s modulus, E = 200 GPa, cross sectional area for each
member, A = 500 mm2 and coefficient of thermal expansion
of, α = 1.25 x 10-5/°C.
Find the internal forces in each member using force
method.
20 KN...
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...
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...
Question 4 The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of m...
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...
Question 5 The members of the truss shown are made of steel and have the cross-sectional areas shown. Use the work e...
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...
Q1 The pin-jointed wood truss shown in Figure Q1a is subjected to a point load P...
Q1 The pin-jointed wood truss shown in Figure Q1a is subjected to a point load P 24 kN at joint B a) Show that the truss is statically determinant. Indicate zero force members. Determine the force in members BC, CF, GF of the truss [10 marks] b) The truss is made of wooden joists (Young modulus E 10 GPa) with a rectangular cross-section having dimensions of 47mm × 150mm. The vertical displacement of joint B is measured to be 10...
The truss is constructed from three aluminum alloy members, each having a cross-sectional area of A...
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...
Determine the smallest cross-sectional area A required for the members of the truss shown, so that the horizontal deflection at joint D does not exceed 10 mm. Use the virtual work method.
Determine the smallest cross-sectional
area A required for the members of the truss shown, so that
the horizontal deflection at joint D does not exceed 10 mm.
Use the virtual work method.
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 = 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
Estimate the redundant force in the truss member BC as shown in the following FIGURE. The...
Estimate the redundant force in the truss member BC as shown in the following FIGURE. The truss is subjected to a vertical load P as 50 kN. Members AB, AC, CD, and BD are 5 m long. The cross-sectional area of all members is constant. The support at A is the pin support and the support at B is the roller support. P = 50 kN Ан, B Av Ву
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...
The following truss is subjected to vertical loads of 20 KN at
joints E and D. In addition to the loads, support A settles by 5 mm
and member AB and BC are subjected to a temperature drop of 50°C.
Given Young’s modulus, E = 200 GPa, cross sectional area for each
member, A = 500 mm2 and coefficient of thermal expansion
of, α = 1.25 x 10-5/°C.
Find the internal forces in each member using force
method.
20 KN...
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...
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...
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...
Q1 The pin-jointed wood truss shown in Figure Q1a is subjected to a point load P 24 kN at joint B a) Show that the truss is statically determinant. Indicate zero force members. Determine the force in members BC, CF, GF of the truss [10 marks] b) The truss is made of wooden joists (Young modulus E 10 GPa) with a rectangular cross-section having dimensions of 47mm × 150mm. The vertical displacement of joint B is measured to be 10...
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 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
Estimate the redundant force in the truss member BC as shown in the following FIGURE. The truss is subjected to a vertical load P as 50 kN. Members AB, AC, CD, and BD are 5 m long. The cross-sectional area of all members is constant. The support at A is the pin support and the support at B is the roller support. P = 50 kN Ан, B Av Ву
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