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BEA-7-494 Finite Element and Stress Analysis Coursework 2 (CW2) Brief 2025-26

Published: 13 Nov, 2025
Category Assignment Subject Engineering
University London South Bank University (LSBU) Module Title BEA-7-494 Finite Element and Stress Analysis

BEA-7-494 COURSEWORK(2) BRIEF

Finite Element and Stress Analysis

Course(s) MSc Civil Engineering, MSc Structural Engineering
Year of Study Level 7 (FT and PT)
Module Finite Elements and Stress Analysis
Module Code BEA-7-494
Credit Value 20
Coursework Title Finite element analysis and modelling
Weighting 60%
Issue Date 30 October 2025
Hand-In Date 22 December 2025
Module Leader Yang Ma
Learning Outcomes

Using the finite element analysis to solve complex structures and systems such as thin-walled non-prismatic or cellular beams, and structural frames (M3).

Using finite element analysis packages for structural modelling and ensure the results obtained are reliable and accurate (M14).

Appreciate the complexities and pitfalls of using commercial engineering software for design and analysis and interpret results in a meaningful way from the computer analysis output. (M3).

BEA-7-494 Finite Element and Stress Analysis CW2

2 - ANSYS Modelling 1 — Reinforced Concrete Beam under UDL

1.Objective

Simulate a simply supported reinforced concrete (RC) beam subjected to a uniformly distributed load (UDL) in ANSYS Workbench. Evaluate linear elastic deflection and stresses.

2.Geometry, Materials and Loading

  • Geometry (mm–N–s): L = 6000 mm; b = 300 mm; h = 500 mm; concrete cover = 35 mm.
  • Reinforcement: 2 diamtre 20mm bottom, 2 diametre 16mm top (layout as in the section schematic, 200 mm apart).
  • Materials: Concrete C30 (E = 30 GPa, ν = 0.2, density 2400 kg/m³, fctm
    ≈ 2.9 MPa); Steel B500 (E = 200 GPa, fy = 500 MPa).
  • Loading: Uniformly distributed load w = 25 kN/m along the full span (self- weight optional).
  • Boundary conditions: Left support pinned, right support roller (see schematic).

3.Modelling Tasks

A. Beam Element Model:

  • Create a line body with rectangular section (b × h).
  • Case A1: linear elastic.
  • Case A2: Nonlinear, adding UDL load till rebar plasticity.
  • In Case A1, extract mid-span deflection, bending stress at extreme fibre, reactions; compare with hand calculations.
  • Crack check: identify zones where principal tensile stress exceeds fctm and comment on serviceability.
  • Present a short table comparing deflection for different cases.

4.Deliverables

  • Detailed report, with diagrams on how you go through the modelling key processes.
  • E.g., geometry
  • Material
  • Part modelling
  • Meshing
  • Loads
  • Boundary conditions
  • Calculation steps
  • Extraction of data
  • Etc.
  • Deformed shapes and stress contour plots with legends and units.
  • Load–deflection value at mid-span for all cases; summary table of reactions/moments.
  • 1–2 pages of discussion on modelling assumptions, boundary idealisation, and discrepancies vs hand results – to show your conceptual understanding in FEM.
  • Archive the ANSYS project (*.wbpz). Save this file for the examiner to check in case.

5.Schematics

Use these diagrams to set up your model:

BEA-7-494 Finite Element and Stress Analysis Assignment

BEA-7-494 Finite Element and Stress Analysis Assignment

3 ANSYS Modelling 2 — Steel Frame Structure with and without Bracing

1.Objective

  • Model in 3D, a two-storey, two-bay steel frame in ANSYS Workbench. Analyse both an unbraced frame and a frame with X-bracing in the left bay. For each configuration, carry out:
    1)(L) Linear static analysis,
    2)(E) Eigenvalue buckling modes,
    3)(P) Pushover (incremental lateral force),
    4)(ND) Nonlinear displacement-controlled analysis at the roof.

2.Geometry, Materials and Loading

  • Bays: 2 × 5× 5 m; Storeys: 2 × 3 m; Base: fixed; Units: mm–N–s.
  • Sections: Columns HEA 200, Beams IPE 200, Braces CHS 114.3×6.3
    (or similar).
  • Steel S355: E = 205 GPa, ν = 0.3, density 7850 kg/m³, fy = 355 MPa.

3.Schematics

Unbraced frame:

BEA-7-494 Finite Element and Stress Analysis Assignment

Unbraced frame (elevation)

BEA-7-494 Finite Element and Stress Analysis Assignment

Braced frame (X-bracing in left bay):

BEA-7-494 Finite Element and Stress Analysis Assignment

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4.Analysis Cases (for BOTH configurations)

  • L — Linear Static: Apply 50 kN horizontal load at roof; report roof displacement, inter-storey drifts, ground floor member forces, and reactions.
  • E — Eigenmodes: Extract the first three eigen-buckling modes and critical factors; comment on sway vs brace-dominated modes.
    P — Pushover: Ramp the lateral load to reach 500 mm roof drift. Use bilinear steel (fy = 355 MPa, Et = 2 GPa). Record base shear vs roof drift.
  • ND — Nonlinear Displacement Control: Impose roof displacement to 150 mm with large-deflection on and bilinear steel; extract column shear force reaction vs displacement at point 1.

5.Required Outputs

  • In case L for two configurations, comparative tables (braced vs unbraced) for roof displacement, base shear.
  • Mode shape images and critical factors (top three for two configurations).
  • In case P and ND, for two configurations, draw curves: column shear force reaction vs displacement at point 1.
  • Mesh sensitivity discussion.
  • Engineering discussion on stiffness, stability and capacity; identification of governing mechanisms.
  • Archive the ANSYS project (*.wbpz). Save this file for the examiner to check in case.

Contents

  1. Introduction 
  2. Assessment of the Module
  3. Feedback 
  4. Marking Scheme

Submission Requirements and Deadline

1.Introduction

This report should detail the application of finite element analysis (FEA) in solving complex structural problems, focusing on beams, and structural frames. The report emphasizes the use of FEA packages for structural modelling, ensuring that the results obtained are both reliable and accurate. It should also highlight the complexities and potential pitfalls associated with using commercial engineering software for design and analysis, providing meaningful interpretations of the computer-generated analysis output. The findings aim to offer insights into how FEA can be effectively employed in advanced structural engineering.

2.Assessment of the Module

The assessment of this module consists of component as listed in the table below. This is CW2

Component Weighting Pass Mark
Coursework - CW1 40% 40%
Coursework - CW2 60% 40%
MODULE 100% 50%

The CW1 covers stress analysis topics and consists of in-class test. The CW2 covers finite element analysis topics and consists of report.
To pass the module, a minimum mark of 40% must be achieved in each courseworks (CW1 and CW2) AND a minimum weighted module mark of 50%.

In the event of the module failure, any component(s) below 40%, you must resit those component(s) in the resit period April / July 2026.

3.Feedback

Feedback will normally be given to students 15 working days (3 calendar weeks) after the final submission of an assignment or as advised by their module leader.

General feedback, applying to all students, will also be provided within 15 working days.

4.Marking Scheme

The marking scheme for CW2 is as follows in the table below.

  ITEMS MARKS
  Hand Calculations  
1. Calculation of the nodal displacement and the stresses in each element for the truss structure using stiffness method 10
2. Calculation of the rotations at the nodes for the beam structure using stiffness method 10
  Finite Element Modelling  
  ANSYS Modelling 1 — Reinforced Concrete Beam under UDL, 2 Cases  
3. Numerical modelling the concrete beam using ANSYS with brief steps including Figures 5
4. Deformed shapes and stress contour plots with legends and units 5
5. Load–deflection value at mid-span for all cases; summary table of reactions/moments. 10
6. Brief discussion on the correlation between the numerical and hand calculations values 5
  ANSYS Modelling 2 — Steel Frame Structure with and without Bracing, 4 Cases  
7. Numerical modelling the frame using ANSYS with brief steps including Figures 10
8. Mode shape images and critical factors (top three). 5
9. In case L, plot the load-deflection relationship (braced vs unbraced) for roof displacement, base shear; together with contour plots of the frame. 10
10. In case P and ND, for two configurations, draw curves: column shear force reaction vs displacement at point 1. 15
10. Mesh sensitivity discussion demonstrating in key metrics at the selected mesh. 5
12. A brief discussion on the stiffness, stability and capacity; identification of governing mechanisms of the frames based on the analysis. 10
  TOTAL 100

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