Q3. Statically determinate or indeterminate beam analysis by the stiffness method a) Determine the global stiffness matrix of the beam shown in Fig. 3. Assume supports at 1 and 3 are rollers and the support at 2 is a pinned support. Indicate the degrees- of freedom in all the stiffness matrices. El is constant. Use the values of w = 50 kN/m and L1 = 2.0 m Note, L2-3L1. b) Determine the rotations at all the nodes of the beam and reactions at the supports. Show all calculations. c) Draw the BMD of the beam on the compression side showing the salient values. What are the maximum bending moments of the beam? Draw the deflected shape of the beam. d) Solve the problem using the Strand7. Assume any suitable value of El (state the value you have used for El). Show the model with all the nodes, element numbers and boundary conditions. Display the deflected shape and BMD. e) Show a table comparing the stiffness method (manual calculations) of the all the reactions and the maximum bending moment values with those of Strand 7 results. Comment on the comparisons of the values between the two. 1) L2 3 120 L2L1 ri 2 Ream for 02
Q3. Statically determinate or indeterminate beam analysis by the stiffness method a) Determine the global stiffness matrix of the beam shown in Fig. 3. Assume supports at 1 and 3 are rollers and the support at 2 is a pinned support. Indicate the degrees- of freedom in all the stiffness matrices. El is constant. Use the values of w = 50 kN/m and L1 = 2.0 m Note, L2-3L1. b) Determine the rotations at all the nodes of the beam and reactions at the supports. Show all calculations. c) Draw the BMD of the beam on the compression side showing the salient values. What are the maximum bending moments of the beam? Draw the deflected shape of the beam. d) Solve the problem using the Strand7. Assume any suitable value of El (state the value you have used for El). Show the model with all the nodes, element numbers and boundary conditions. Display the deflected shape and BMD. e) Show a table comparing the stiffness method (manual calculations) of the all the reactions and the maximum bending moment values with those of Strand 7 results. Comment on the comparisons of the values between the two. 1) L2 3 120 L2L1 ri 2 Ream for 02
Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter6: Vertical Stress Increase In Soil
Section: Chapter Questions
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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Can you please do with hand calcs and answer the following:
| a | Determine the global stiffness matrix (K) of the beam including indicating correct degrees-of freedom (dof) | ||||
| b | i) Calculate vectors D and Q | ||||
| ii) Show partition and solve KD=Q for D | |||||
| iii) Calculate all reactions | |||||
| c | BMD & max BM, deflected shape | ||||
| d | i) Solve the problem using Strand7 (model) | ||||
| ii) Display the deflected shape and BMD | |||||
| e | Comparisons of reactions + Max BM including comments |
Transcribed Image Text:Q3. Statically determinate or indeterminate beam analysis by the stiffness method
a) Determine the global stiffness matrix of the beam shown in Fig. 3. Assume supports
at 1 and 3 are rollers and the support at 2 is a pinned support. Indicate the degrees-
of freedom in all the stiffness matrices. El is constant. Use the values of w = 50 kN/m
and L1 = 2.0 m Note, L2-3L1.
b) Determine the rotations at all the nodes of the beam and reactions at the supports.
Show all calculations.
c) Draw the BMD of the beam on the compression side showing the salient values.
What are the maximum bending moments of the beam? Draw the deflected shape
of the beam.
d) Solve the problem using the Strand7. Assume any suitable value of El (state the value
you have used for El). Show the model with all the nodes, element numbers and
boundary conditions. Display the deflected shape and BMD.
e) Show a table comparing the stiffness method (manual calculations) of the all the
reactions and the maximum bending moment values with those of Strand 7 results.
Comment on the comparisons of the values between the two.
1)
L2
3
120
L2L1
ri 2 Ream for 02
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