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...
Related questions
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781305081550
Author:
Braja M. Das
Publisher:
Cengage Learning
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781305081550
Author:
Braja M. Das
Publisher:
Cengage Learning
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Steel Design (Activate Learning with these NEW ti…
Civil Engineering
ISBN:
9781337094740
Author:
Segui, William T.
Publisher:
Cengage Learning
Principles of Geotechnical Engineering (MindTap C…
Civil Engineering
ISBN:
9781305970939
Author:
Braja M. Das, Khaled Sobhan
Publisher:
Cengage Learning
Engineering Fundamentals: An Introduction to Engi…
Civil Engineering
ISBN:
9781305084766
Author:
Saeed Moaveni
Publisher:
Cengage Learning