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Structural Analysis Etask 5
The aim of this assessment task is to evaluate the appropriate use of the Force Method and Moment Distribution Method for structural analysis
• Please download the eTask4 from Canvas. The students are required to use the Force Method and Moment Distribution method for eTask5.
• Students need complete the eTask and upload the report to Canvas before the due time. eTask5 report (the pdf file) must include the detailed working out.
• eTask5 is due at 11:59pm 6 Nov 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 (15 marks). Consider the structure and applied actions shown in the figure below. Use the dimensions and load values in the table below. Analyse the structure using the force method, and draw the bending moment diagram.
Q2 (15 marks). Consider the structure and applied actions shown in the figure below. Use the moment distribution method to analyse the frame using 1-decimal place accuracy, draw the bending moment diagram.

 

For your Structural Analysis eTask 5, the aim is to apply both the Force Method and the Moment Distribution Method to analyze a frame structure and draw the bending moment diagram. Below is a general outline on how to approach each question:

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Q1: Force Method Analysis (15 marks)

Steps for Force Method:

1. Identify the Redundant Forces:
   • Check the degree of indeterminacy of the structure. If the structure is over-constrained (indeterminate), identify the redundant forces (typically reactions or internal forces that would need to be removed to simplify the structure).
2. Remove the Redundant Forces:
   • Remove the redundant forces to reduce the structure to a determinate structure. This will allow you to calculate the displacement and internal forces.
3. Calculate Displacements:
   • Use equilibrium equations and compatibility conditions to determine the displacement due to applied loads.
4. Apply the Load and Solve for Redundant Forces:
   • Apply the loads to the simplified structure (without the redundant force) and calculate the displacements. Then solve for the redundant forces by applying the compatibility condition (e.g., displacement condition at the point of redundancy).
5. Reintroduce the Redundant Force:
   • Once you’ve found the redundant forces, reintroduce them to the structure. Calculate the internal forces (bending moments, shear forces) in each member.
6. Draw the Bending Moment Diagram:
   • Use the calculated internal forces to plot the bending moment diagram for the structure.

Deliverables for Q1:

• Detailed calculations showing the identification and solution of redundant forces, displacement, and internal forces.
• The bending moment diagram based on the calculated forces.

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Q2: Moment Distribution Method Analysis (15 marks)

Steps for Moment Distribution Method:

1. Assign Initial Moment:

   • Begin by calculating the fixed-end moments (FEM) for each member in the structure (based on the given loads and structure configuration). These will serve as the starting point for the moment distribution.

2. Distribute Moments:

   • Apply the distribution factors for each joint (based on the stiffness of the connected members). Distribute the moments at each joint according to these factors.

3. Carryover Moments:

   • For each joint, carry over the moments to the connected members. This process is repeated for each iteration until the moments at each joint stabilize.

4. Balance Moments:

   • At each step, after distributing and carrying over moments, check the equilibrium of the joint and distribute any remaining unbalanced moments.

5. Calculate the Final Moments:

   • After several iterations, when the moments at each joint stabilize, calculate the final internal moments at each point.

6. Draw the Bending Moment Diagram:

   • Use the final moment values to plot the bending moment diagram for the structure, ensuring that all moments are accounted for.

Deliverables for Q2:

• Step-by-step calculations of the moment distribution, including the distribution and carryover steps.
• Bending moment diagram based on the final moments.

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General Tips:

• Be organized with your calculations, clearly showing each step of the process.
• For Q1 (Force Method), focus on the redundancy removal and displacement calculations. The clarity of the force identification and solving for the redundancy will be crucial.
• For Q2 (Moment Distribution), carefully manage your iterations and ensure that you keep track of the balance of moments. Use accurate rounding to one decimal place as required.
• Use the given dimensions and load values precisely in your calculations.

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