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The aim of this assessment task is to evaluate the appropriate use of the Moment Distribution Method for structural analysis
• Please download the eTask4 from Canvas. The students are required to use the Moment Distribution method for eTask4.
• Students need complete the eTask and upload the report to Canvas before the due time. eTask4 report (the pdf file) must include the detailed working out.
• eTask3 is due at 11:59pm 29 Oct 2024. Students are expected to plan and manage their time in order to submit this task by the due date. Late submissions and submissions other than through Canvas will not be accepted.
Q1 (10 marks). Use the moment distribution method to analyse the frame when subjected to the loading shown.
Determine the member forces and support reactions required.
Dimensions and section properties
a 4.4 unit: m
b 3.4 unit: m
c 5 unit: m
d 4.4 unit: m
EI 100 unit: kNm2
EA 8 unit: kN
Applied actions
F 260 unit: kN
w 17 unit: kN/m
Q2 (10 marks). Use the moment distribution method to analyse the frame when subjected to the loading shown.
Determine the member forces and support reactions required.
Dimensions and section properties
a 4.4 unit: m
b 3.4 unit: m
c 5 unit: m
d 4.4 unit: m
EI 100 unit: kNm2
EA 8 unit: kN
Applied actions
F 260 unit: kN
w 17 unit: kN/m
For this assessment, you’ll need to apply the Moment Distribution Method to both questions to analyze the frame under the given loading conditions and calculate the member forces and support reactions. Here’s a step-by-step approach you can follow:
Step-by-Step Guide for Q1 and Q2:
-
Draw the Frame and Label the Loads:
- Draw the frame structure with all dimensions labeled: a, b, c, d.
- Mark the applied loads: point loads (F = 260 kN) and distributed loads (w = 17 kN/m).
- Also, label the supports and reactions.
-
Calculate the Fixed-End Moments (FEM):
- Use the standard equations for fixed-end moments (FEM) for the given loadings (point loads and distributed loads).
- For point loads, the formula will involve the distance from the point load to the point of interest.
- For distributed loads, integrate the effect over the length of the beam.
-
Set Up the Moment Distribution Method:
- Distribution Factor: Calculate the distribution factors for each joint (based on EI and the member lengths).
- Carry-Over Factor: Apply the carry-over factor (usually 0.5) to transfer moments from one side of the joint to the other.
- Iterate: Distribute the moments to the respective members, adjust for reactions, and carry over the moments until convergence.
-
Analyze the Structure:
- Perform iterations and record the moments at each stage.
- Use the equilibrium equations to solve for unknowns at each joint.
-
Determine Reactions and Member Forces:
- Use the reactions and moments to compute the member forces (shear and axial) as required.
- Apply the appropriate beam theory (Bending Moment and Shear Force Equations) to find the member forces.
-
Verify the Results:
- Double-check your calculations for accuracy.
- Confirm that the reactions and forces balance according to equilibrium conditions.
Report:
- Introduction: Briefly explain the purpose of using the Moment Distribution Method and the problem setup.
- Methodology: Describe the steps taken to analyze the frame, including calculating fixed-end moments, distribution factors, and the iterative process.
- Results: Present the final member forces, support reactions, and any significant observations.
- Conclusion: Summarize your findings and any challenges faced during the analysis.
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