(a) the stiffness matrix for each of the three elements. (15 marks) (b) the normal stresses in both bar elements. (10 marks) 225 kN 3 10 m 2000 kN/m igure O3)
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Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has...
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...
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,...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
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...
a. Compute the total stiffness matrix [K] of the assemblage shown in Figure 3-1 by superimposing...
a. Compute the total stiffness matrix [K] of the assemblage shown in Figure 3-1 by superimposing the stiffness matrices of the individual bars. Note that should be in terms of A. As, A, E, E E, L. and L. Here A, E, and are generic symbols used for cross-sectional area modulus of elasticity, and length, respectively Figure P3-1 Now let As - Ag-A-A.E E, E E and L-L L -L nodes 1 and 4 are fixed and a force Pacts...
3) Statically Indeterminate Truss (15 pts). For the truss shown below all the members have elastic modulus E, normal failure stress σ, shear failure stress τ, and cross-sectional area A. All answers...
3) Statically Indeterminate Truss (15 pts). For the truss shown below all the members have elastic modulus E, normal failure stress σ, shear failure stress τ, and cross-sectional area A. All answers should be given in terms of P, W, A, E, σ, and/orT5 (a - 10 pts) Solve for the reaction forces at points B and D and the magnitude of the deflection of point C (b - 5 pts) Given a safety factor of 1.5, write an expression...
please answer #1 answers are in photo below questions. please solve 1. (20 pts.) The truss structure shown has 3 members: BD, CD and BC. The value of EA (where E-Young's modulus and A-cross...
please answer #1 answers are in photo below questions. please
solve
1. (20 pts.) The truss structure shown has 3 members: BD, CD and BC. The value of EA (where E-Young's modulus and A-cross-sectional area) for each of the members is 200 x 103 [kN]. (1) Determine the support reactions at B andCt (2) Determine the vertical displacement of the joint D, "D, (3) Determine the horizontal displacement of the joint D, uph. 0 30° 10 kN 2.13mm 2. (20...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segm...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segments BC and CD are solids If the shortening (contraction) of bar ABCD is limited to 4.0 mm, determine the maximum allowable force P to be applied at C. (8 marks) 90 mm ΟΙ 00 mm 1080 min PL 500 mm 250 mm 250 mm Figure Q3a...
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,...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
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...
a. Compute the total stiffness matrix [K] of the assemblage shown in Figure 3-1 by superimposing the stiffness matrices of the individual bars. Note that should be in terms of A. As, A, E, E E, L. and L. Here A, E, and are generic symbols used for cross-sectional area modulus of elasticity, and length, respectively Figure P3-1 Now let As - Ag-A-A.E E, E E and L-L L -L nodes 1 and 4 are fixed and a force Pacts...
3) Statically Indeterminate Truss (15 pts). For the truss shown below all the members have elastic modulus E, normal failure stress σ, shear failure stress τ, and cross-sectional area A. All answers should be given in terms of P, W, A, E, σ, and/orT5 (a - 10 pts) Solve for the reaction forces at points B and D and the magnitude of the deflection of point C (b - 5 pts) Given a safety factor of 1.5, write an expression...
please answer #1 answers are in photo below questions. please
solve
1. (20 pts.) The truss structure shown has 3 members: BD, CD and BC. The value of EA (where E-Young's modulus and A-cross-sectional area) for each of the members is 200 x 103 [kN]. (1) Determine the support reactions at B andCt (2) Determine the vertical displacement of the joint D, "D, (3) Determine the horizontal displacement of the joint D, uph. 0 30° 10 kN 2.13mm 2. (20...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segments BC and CD are solids If the shortening (contraction) of bar ABCD is limited to 4.0 mm, determine the maximum allowable force P to be applied at C. (8 marks) 90 mm ΟΙ 00 mm 1080 min PL 500 mm 250 mm 250 mm Figure Q3a...
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