Q4. Statically determinate or indeterminate frame analysis by the stiffness method a) Determine the stiffness matrix of the frame as shown in Fig. 4. Nodes 1 and 3 are fixed supports. Assume I = 300(10%) mm, A = 10(103) mm², E = 200 GPa for each member. Indicate the degrees-of freedom in all the stiffness matrices. Use the values of L3-3.5 m, w = 24 kN/m and P = 30 kN. Note, L4-1.8L3 (i.e. 1.8 times L3). b) Determine all the displacement components at node 2 and all internal reactions at node 2. Show all calculations. c) Draw the BMD of the frame on the compression side showing all the salient values. Show all calculations. d) Repeat the problem using the Strand 7. Show the model with all the nodes and element numbers and boundary conditions. Submit a hard copy from Strand7 showing all the reactions (highlight these in the hard copy). Display the bending moment diagram for the frame. 4 e) Compare the BMD from Strand 7 with the theoretical one and compare the respective values of maximum BM. Comment on the comparisons of the values between the two. L3 L4 2 P Fig 4 Frame for 04 L3
Q4. Statically determinate or indeterminate frame analysis by the stiffness method a) Determine the stiffness matrix of the frame as shown in Fig. 4. Nodes 1 and 3 are fixed supports. Assume I = 300(10%) mm, A = 10(103) mm², E = 200 GPa for each member. Indicate the degrees-of freedom in all the stiffness matrices. Use the values of L3-3.5 m, w = 24 kN/m and P = 30 kN. Note, L4-1.8L3 (i.e. 1.8 times L3). b) Determine all the displacement components at node 2 and all internal reactions at node 2. Show all calculations. c) Draw the BMD of the frame on the compression side showing all the salient values. Show all calculations. d) Repeat the problem using the Strand 7. Show the model with all the nodes and element numbers and boundary conditions. Submit a hard copy from Strand7 showing all the reactions (highlight these in the hard copy). Display the bending moment diagram for the frame. 4 e) Compare the BMD from Strand 7 with the theoretical one and compare the respective values of maximum BM. Comment on the comparisons of the values between the two. L3 L4 2 P Fig 4 Frame for 04 L3
Principles of Foundation Engineering (MindTap Course List)
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Chapter6: Vertical Stress Increase In Soil
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Problem 6.4P: Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine...
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Transcribed Image Text:Q4. Statically determinate or indeterminate frame analysis by the stiffness method
a) Determine the stiffness matrix of the frame as shown in Fig. 4. Nodes 1 and 3 are
fixed supports. Assume I = 300(10%) mm, A = 10(103) mm², E = 200 GPa for each
member. Indicate the degrees-of freedom in all the stiffness matrices. Use the values
of L3-3.5 m, w = 24 kN/m and P = 30 kN. Note, L4-1.8L3 (i.e. 1.8 times L3).
b) Determine all the displacement components at node 2 and all internal reactions at
node 2. Show all calculations.
c) Draw the BMD of the frame on the compression side showing all the salient values.
Show all calculations.
d) Repeat the problem using the Strand 7. Show the model with all the nodes and
element numbers and boundary conditions. Submit a hard copy from Strand7
showing all the reactions (highlight these in the hard copy). Display the bending
moment diagram for the frame.
4
e) Compare the BMD from Strand 7 with the theoretical one and compare the
respective values of maximum BM. Comment on the comparisons of the values
between the two.
L3
L4
2
P
Fig 4 Frame for 04
L3
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