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SCEE08002 Structural Mechanics 2 Laboratories Assignment UK
University | The University of Edinburgh (TUE) |
Subject | SCEE08002 Structural Mechanics 2 Laboratories |
Overview
- Three Laboratory Exercises:
- Composite action in a beam.
- Torsion of a shaft.
- Membrane stresses in a pressure vessel.
- Tasks Overview:
- Data collection (in lab sessions).
- Analysis (independent study time).
- A single report submission at the end of semester 1.
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Marking Criteria
Criterion | Pass (40%-50%) | Excellent (70%+) |
---|---|---|
Accuracy of Calculations (45%) | Basic parameter assessment with minimal errors. | Complete and insightful calculations beyond basic equations. |
Presentation (35%) | Calculations clear and understandable. | Professionally presented, with precise use of diagrams/graphs. |
Experimental Context (20%) | Appreciation of imperfections in experiments. | Critical appraisal and improvement suggestions. |
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Exercise 1: Composite Action in a Beam
Data Collection
- Setup:
- Apparatus investigates Euler’s Beam Theory (refer to Figures 1.1 and 1.2).
- Test two beam types:
- Bonded (steel + aluminium glued).
- Unbonded (steel + aluminium not glued).
- Procedure:
- Zero the strain gauge.
- Incrementally load weights (30N to 150N) and record strain data for each strain gauge.
- Report Content:
- Two Tables:
- One for bonded beam.
- One for unbonded beam, showing weight and strain gauge readings.
- Two Tables:
Analysis
- Tasks:
- Write an expression for the force FFF in terms of weight WWW, dimensions mmm, and nnn.
- Write an expression for the bending moment MMM at mid-span.
- Plot strain vs. vertical position for the 150N load for both beams and theoretical predictions.
- Report Content:
- Two tables (moment and strain gauge readings).
- One graph (experimental vs. theoretical strain).
- Explanation of behavior differences between bonded and unbonded beams.
Exercise 2: Torsion of a Shaft
Data Collection
- Setup:
- Apparatus measures rotation response to torque.
- Test aluminium and steel bars at two lengths (300mm and 160mm).
- Procedure:
- Record shaft rotation for different weights (0.25kg and 0.5kg).
- Measure lever arm and shaft diameters.
- Report Content:
- Table showing rotation readings for each setup.
- Notes on lever arm and shaft diameters.
Analysis
- Tasks:
- Convert weights to torque.
- Estimate shear modulus for materials based on rotation vs. torque plots.
- Report Content:
- Table (mass, torque, rotation, length).
- Graphs (rotation vs. torque for all setups).
- Calculations and error discussion.
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Exercise 3: Membrane Stresses in a Pressure Vessel
Data Collection
- Setup:
- Thin-walled cylinder (aluminium) subjected to internal pressure.
- Strain gauges measure strain in axial and tangential directions.
- Procedure:
- Record strain readings for:
- Closed condition: Bi-axial stress.
- Open condition: Uni-axial stress.
- Record strain readings for:
- Report Content:
- Table showing strain for both conditions.
Analysis
- Tasks:
- Predict longitudinal and hoop stresses.
- Draw Mohr’s circle for each condition.
- Calculate yield pressure and theoretical hoop strain.
- Compare predictions with experimental strains.
- Report Content:
- Mohr’s circle (theoretical).
- Yield pressure calculation.
- Hoop and longitudinal strain calculations.
- Comparison and error discussion.
Key Figures and Tables
Beam Test Setup (Figures 1.1 & 1.2):
- Dimensions and strain gauge positions.
- Loading beam ratio.
Torsion Test Equipment (Figure 2.1):
- Rotating and fixed chucks.
- Lever arm details.
Pressure Vessel Setup (Figure 3.2):
- Hydraulic pump, manometer, and strain gauge arrangement.
Material Properties Tables:
- Young’s modulus:
- Steel: 200 kN/mm².
- Aluminium: 70 kN/mm².
- Pressure Vessel:
- Outer diameter: 75mm.
- Wall thickness: 2.5mm.
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