Homework Answers
-> Given structure has degree of freedom of one. Only rotation about coordinate 3 is possible, all other coordinates are restrained, consider 1 and 2 they are restrained because members are inextensible also no sway in horizontal and vertical directions because of fixed ends, and 7,8,9,4,5 and 6 also restrained due to fixed supports.
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For the structure shown, write the static equilibrium equation of the structure in matrix form 2...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displ...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam Note that there is a hinge at B. Take E = 250 GPa, 1-2000 cm 10 kN 2 kN/m 5 kN-m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below....
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300 105) mm,A 1...
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300 105) mm,A 10(10) mm2 for each member. 16-6. Determine the support reactions at the fixed supports D and . Take E-200 GPa,1 300 (10) mm, A 10(10) mm2 for each member. 12 kN/m 2 m 4 m 12 2 m Probs. 16-5/6
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute di...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam. Note that there is a hinge at B. Take E= 250 G Pa, 1 = 2000 cm- 10 kN 5 kN-m 2 kN/m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam...
Beam ABC as shown in figure 2 is supported as fixed at A, a cable tie...
Beam ABC as shown in figure 2 is supported as fixed at A, a cable tie at B and a spring at C carries a uniformly distributed load of 72 kN/m on member AB and a concentrated load of 54 kN on member BC. Using the flexibility method and neglect the axial effects in the bcam, (a) perform the global flexibility matrix of the beam structure, (b) calculate the rotation at B and displacement at C, (c) draw the deflection,...
please disregard work For the structure shown below, using the FORCE METHOD determine the reactions at...
please disregard work
For the structure shown below, using the FORCE METHOD determine the reactions at A and at C when a distributed load w =6 kN/m is applied on the column and concentrated load P=20 kN applied on the beam as shown. (Moment of inertia for the beam is 2xl and for the column is 3xl same material. E= 200 GPa and 1 = 240x106 mm. A is a built-in support, the members are rigidly connected at B and...
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffnes...
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffness matrix, Ke. Then, calculate the reactions at both supports by using matrik stifness method. Assuming the elastic modulus of beam, E 200 GPa. 150 kN 3 5m 2 10 m 1 = 500 x 106 mm4 I = 250 x 106 mm 4 Rajah 3b(@)/Figure 3b() Given: Stiffness relations for a beam element 12 6 12 6 z12 12 6...
Example 16.1 Determine the loadings at the joints of the 2-member frame as shown. Take for...
Example 16.1 Determine the loadings at the joints of the 2-member frame as shown. Take for both members: E-200 GPa I180(108) mm 6 m 20 kN 6 m Q. 3 (a) Determine the stiffness matrix of the 2-member frame as showil. Takefor both members: E = 200 GPa, 1-180(106) mm", A = 4000 mm (10 Marks) トーーーー6m_ 26 mm
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffine...
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffiness matrix of the frame of problems 16.5 and 16.6 (p. 619). Indicate the degrees-of freedom in all the stiffness matrices. b) D Q4. S (10 marks) etermine all the displacement components at node 2 and all the reactions including the reactions at node 2. Show all calculations. c) (18 marks) of the frame on the compression side showing all the salient values (5 marks)...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the ele...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the element stiffness matrix in global axis system [KG] of the members and assembled them to generate the overall stiffness matrix [K of the truss. Modify the stiffness matrix [K] in order to incorporate boundary conditions following the elimination technique of rows and columns. Take E 200 GPa...
Bars A and B in the mechanism shown are made of steel with a modulus of...
Bars A and B in the mechanism shown are made of steel with a modulus of elasticity E = 200 GPa, a cross-sectional area of A = 100 mm?, and a length L = 2.5 m. The applied force F = 10 kN. (a) Write the equations of equilibrium for the horizontal bar. (b) Determine the forces in bars A and B. (c) Find the axial stress in bars A and B. to 2.0 m 3.0 m ** 1.5 m...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam Note that there is a hinge at B. Take E = 250 GPa, 1-2000 cm 10 kN 2 kN/m 5 kN-m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below....
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300 105) mm,A 10(10) mm2 for each member. 16-6. Determine the support reactions at the fixed supports D and . Take E-200 GPa,1 300 (10) mm, A 10(10) mm2 for each member. 12 kN/m 2 m 4 m 12 2 m Probs. 16-5/6
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam. Note that there is a hinge at B. Take E= 250 G Pa, 1 = 2000 cm- 10 kN 5 kN-m 2 kN/m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam...
Beam ABC as shown in figure 2 is supported as fixed at A, a cable tie at B and a spring at C carries a uniformly distributed load of 72 kN/m on member AB and a concentrated load of 54 kN on member BC. Using the flexibility method and neglect the axial effects in the bcam, (a) perform the global flexibility matrix of the beam structure, (b) calculate the rotation at B and displacement at C, (c) draw the deflection,...
please disregard work
For the structure shown below, using the FORCE METHOD determine the reactions at A and at C when a distributed load w =6 kN/m is applied on the column and concentrated load P=20 kN applied on the beam as shown. (Moment of inertia for the beam is 2xl and for the column is 3xl same material. E= 200 GPa and 1 = 240x106 mm. A is a built-in support, the members are rigidly connected at B and...
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffness matrix, Ke. Then, calculate the reactions at both supports by using matrik stifness method. Assuming the elastic modulus of beam, E 200 GPa. 150 kN 3 5m 2 10 m 1 = 500 x 106 mm4 I = 250 x 106 mm 4 Rajah 3b(@)/Figure 3b() Given: Stiffness relations for a beam element 12 6 12 6 z12 12 6...
Example 16.1 Determine the loadings at the joints of the 2-member frame as shown. Take for both members: E-200 GPa I180(108) mm 6 m 20 kN 6 m Q. 3 (a) Determine the stiffness matrix of the 2-member frame as showil. Takefor both members: E = 200 GPa, 1-180(106) mm", A = 4000 mm (10 Marks) トーーーー6m_ 26 mm
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffiness matrix of the frame of problems 16.5 and 16.6 (p. 619). Indicate the degrees-of freedom in all the stiffness matrices. b) D Q4. S (10 marks) etermine all the displacement components at node 2 and all the reactions including the reactions at node 2. Show all calculations. c) (18 marks) of the frame on the compression side showing all the salient values (5 marks)...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the element stiffness matrix in global axis system [KG] of the members and assembled them to generate the overall stiffness matrix [K of the truss. Modify the stiffness matrix [K] in order to incorporate boundary conditions following the elimination technique of rows and columns. Take E 200 GPa...
Bars A and B in the mechanism shown are made of steel with a modulus of elasticity E = 200 GPa, a cross-sectional area of A = 100 mm?, and a length L = 2.5 m. The applied force F = 10 kN. (a) Write the equations of equilibrium for the horizontal bar. (b) Determine the forces in bars A and B. (c) Find the axial stress in bars A and B. to 2.0 m 3.0 m ** 1.5 m...
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