CIV4505: Structural Analysis Assessment 1

Important Notes:

• Before preparing your assignment, refer to the assignment preparation guidelines and the marking rubric on the Study Desk.

• Students must adhere to the UniSQ academic integrity policy. Submitted solutions will be closely monitored for plagiarism and academic misconduct.

Statical Determinacy

Provide one example for each structure type. Include sketches, applied loads (numerical values not required), equations, and calculations. Ensure calculations show the degree of indeterminacy.

(a) A single-span statically indeterminate beam
(b) A statically determinate truss with six or more members
(c) A truss statically indeterminate to degree 1
(d) A beam statically indeterminate to degree 2
(e) An unstable beam with two spans

Shear and Moment Diagrams for Statically Determinate Beams/Frames 

For the given frame, assume support at A is a roller and B is a pin. Use the table below to determine your P and w values based on the last digit of your student ID.

Tasks:
(a) Determine vertical and horizontal components of the support reactions at A and B.
(b) Determine the shear force values at points D and E for beam CDE.
(c) Determine the internal bending moments at points D and E for beam CDE.
(d) Draw the shear force diagram for beam CDE.
(e) Draw the bending moment diagram for beam CDE.

Data Table (P and w values):

• 0 → P = 9.5, w = 0.35

• 1 → P = 9.6, w = 0.36

• 2 → P = 9.7, w = 0.37

• 3 → P = 9.8, w = 0.38

• 4 → P = 9.9, w = 0.39

• 5 → P = 10, w = 0.40

• 6 → P = 10.1, w = 0.41

• 7 → P = 10.2, w = 0.42

• 8 → P = 10.3, w = 0.43

• 9 → P = 10.4, w = 0.44

Cable and Arch Analysis 

(a) Cable Analysis:

• Determine the equation of the cable in the form y = f(x).

• Calculate the maximum tension in the cable.

• If an allowable tension is given, explain how to determine the maximum distributed load the cable can carry.

(b) Tied Three-Hinged Arch:

• Determine the components of reactions at points A and C, and the tension in the cable.

• Explain how to determine the internal bending moment at the location under the 10 kN load.

Beam Deflections by Various Methods

(a) Conjugate Beam Method:

• Determine the slope and vertical deflection at point B.

• Use E = 200 GPa and I = 70 × 10⁸ mm⁴.

• Include the numerical values of ‘a’ and ‘w’ based on the last digit of your student ID:

Data Table (a and w values):

• 0 → a = 6 m, w = 15 kN/m

• 1 → a = 7 m, w = 16 kN/m

• 2 → a = 8 m, w = 17 kN/m

• 3 → a = 9 m, w = 18 kN/m

• 4 → a = 10 m, w = 19 kN/m

• 5 → a = 11 m, w = 20 kN/m

• 6 → a = 12 m, w = 21 kN/m

• 7 → a = 13 m, w = 22 kN/m

• 8 → a = 14 m, w = 23 kN/m

• 9 → a = 15 m, w = 24 kN/m

(b) Moment Area Method: Repeat part (a) using this method.

(c) Double Integration Method: Explain how to determine the vertical deflection at point C. Include relevant equations but no need to simplify or solve.

Truss Deflections by Method of Virtual Work

• Determine the horizontal displacement of joint A. Assume A = 180 mm⊃2; and E = 200 GPa for each member.

• Explain how to determine the vertical displacement of joint A (numerical values not required).

Beam/Frame Deflections by Method of Virtual Work 

• Determine the vertical displacement at point C.

• Assume flexural rigidities of AB = EI and BC = 2EI.

• Explain how to determine the horizontal displacement at point C.

Assignment Preparation Guidelines

1. Maintain margins of at least 10 mm on all sides.

2. Print your name in the upper-right corner of each page.

3. Follow a logical sequence in obtaining solutions. Show all calculation details so markers can check your work easily.

4. Include all necessary sketches, figures, and free body diagrams. Do not write “refer to assignment sheet or textbook.”

5. Define all variables used in calculations.

6. Use appropriate units consistently.

7. Present final answers clearly using boxes, double underlines, or slashes, and provide labeled summary tables when appropriate.

8. Limit final answers to three significant figures where applicable.

Note: Marks are also allocated for presentation and appearance, as per the marking scheme.

Summary of Assessment Requirements

The CIV4505 Assessment 1 is a Structural Analysis report worth 30% of the overall grade (300 marks). The key objectives are to evaluate the student’s understanding and ability to:

1. Determine statical determinacy for different beam and truss structures, including sketching, loading, and calculating degrees of indeterminacy.

2. Construct shear force and bending moment diagrams for statically determinate beams and frames using given loads.

3. Analyze cable and three-hinged arch structures, including calculating equations, maximum tension, and reaction forces.

4. Determine beam deflections using conjugate beam, moment-area, and double integration methods.

5. Calculate truss and frame deflections using the method of virtual work, including horizontal and vertical displacements.

The assignment requires clear sketches, defined variables, consistent units, logical calculation sequences, and proper presentation. Students must also follow UniSQ’s academic integrity policy.

Academic Mentorship Approach

Step 1: Understanding the Requirements
The academic mentor begins by guiding the student to carefully read the assignment instructions, marking rubric, and preparation guidelines. This ensures the student understands what is expected, the weightage of each question, and the importance of clear, stepwise solutions.

Step 2: Question Breakdown & Planning
Each question is broken down into smaller tasks:

• Q1: Identify examples of statically determinate and indeterminate beams/trusses, including sketches and degree of indeterminacy calculations.

• Q2: Determine reactions, shear forces, bending moments, and draw diagrams for the given frame using specific P and w values.

• Q3: Solve for cable equation, maximum tension, reactions at arch supports, and internal bending moments.

• Q4: Calculate beam slopes and deflections using conjugate beam, moment-area, and double integration methods, using assigned numerical data.

• Q5 & Q6: Apply the virtual work method for truss and frame deflections, ensuring correct assumptions about flexural rigidity and cross-sectional areas.

The mentor ensures the student understands the theory and formulas before starting calculations.

Step 3: Guided Solution Process

• Statical Determinacy (Q1): The mentor demonstrates how to sketch beams and trusses, apply loads, define variables, and calculate indeterminacy using standard formulas.

• Shear & Moment Diagrams (Q2): Reactions are solved using equilibrium equations; shear forces and bending moments are computed stepwise at critical points; diagrams are plotted accurately.

• Cable & Arch Analysis (Q3): The mentor explains parabolic cable equations and maximum tension, along with support reactions and internal moment calculations for arches.

• Beam Deflections (Q4):

  • Conjugate Beam Method: Explained using EI and assigned loads, stepwise derivation of slopes and deflections.

  • Moment Area Method: Slope and deflection calculations illustrated using area under bending moment diagrams.

  • Double Integration Method: Equations are formulated for vertical deflection without numerical solution.

• Virtual Work Methods (Q5 & Q6): Horizontal and vertical displacements are calculated for truss and frame structures; mentor explains energy principles and application of virtual forces.

Step 4: Presentation and Submission Preparation
The student is guided to:

• Ensure all sketches and diagrams are neatly labeled.

• Show all intermediate calculations for transparency.

• Box final answers and maintain three significant figures.

• Check units and variable definitions.

Outcome and Learning Objectives Achieved

By following the mentor’s guidance:

1. The student develops a comprehensive understanding of statical determinacy and can classify structures accurately.

2. Learns to calculate and illustrate shear forces and bending moments for beams and frames.

3. Gains practical knowledge in cable and arch analysis, including tension and support reaction calculations.

4. Masters beam deflection methods: conjugate beam, moment-area, and double integration.

5. Understands virtual work applications for truss and frame deflections.

6. Improves problem-solving, logical reasoning, and presentation skills, aligning with academic integrity standards.

Final Deliverable: A fully solved, clearly presented assignment with sketches, calculations, and explanations, demonstrating mastery of structural analysis concepts, ready for submission via Study Desk.

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