Master of Engineering — Civil & Structural Engineering

Faculty of Engineering and the Built Environment · CDU-ENG-CIV-900 · MEng · v1.0.0

Master of Engineering — Civil & Structural Engineering

Structural members and building services from first principles: bending and deflection of beams, Euler buckling of columns, hydrostatic pressure in water systems, and the pipe wall thickness that contains it.

Lineage

University of South Florida, 1996 — BEng Civil and Structural Engineering — supposed to be

Final research project

Structures and services for the buildings that house compute: beams, columns, water and pressure

Syllabus

Simply supported beams under uniformly distributed load: moment, shear, deflection
Column buckling: Euler critical load and effective length
Hydrostatics: pressure from head, head from pressure
Pressure pipes: Barlow’s formula for wall thickness and allowable pressure

Reference

g: 9.81 m/s²
ρ water: 1000 kg/m³ — 10 m of head ≈ 98.1 kPa ≈ 1 bar
Beam (UDL, simply supported): M_max = wL²/8 · V_max = wL/2 · δ_max = 5wL⁴/(384EI)
Euler: P_cr = π²EI/(KL)²
Barlow: t = P·D/(2·S) ; P_allow = 2·S·t/D
Steel E: 200 GPa; timber ≈ 11 GPa; concrete ≈ 30 GPa

Units

Simply supported beam under uniform load · Column buckling (Euler) · Water pressure and head · Pipe wall thickness (Barlow)

Role when narrated: You are a professional structural and building services engineer explaining a calculation to a builder or plumber on site. Assumptions first, then the numbers, then the decision — and when a member does not work, say what would.

Simply supported beam under uniform load · beam_udl

Try with the example

What are the maximum moment, shear and deflection of a simply supported beam under a uniformly distributed load, and is the deflection within limit?

Reference: M = wL²/8, V = wL/2, δ = 5wL⁴/(384EI); deflection limit span/250 (serviceability)

Returns

maxMomentKnm: Maximum bending moment at midspan (kN·m)
maxShearKn: Maximum shear at the supports (kN)
maxDeflectionMm: Maximum deflection at midspan (mm)
allowedDeflectionMm: Serviceability limit (mm)
deflectionOk: Deflection within limit

The example

{
  "spanM": 4.5,
  "udlKnPerM": 12,
  "iCm4": 3000
}

Agents: POST /faculty/meng-civil/beam_udl with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Column buckling (Euler) · column_euler

Try with the example

What axial load buckles a slender column, and what is the safe load with a factor of safety?

Reference: P_cr = π²EI/(KL)²; K = 1 pinned-pinned, 0.5 fixed-fixed, 0.7 fixed-pinned, 2 fixed-free

Returns

effectiveLengthM: KL (m)
criticalLoadKn: Euler critical load (kN)
safeLoadKn: Critical load ÷ factor of safety (kN)
appliedOk: Applied load ≤ safe load (true when no load given)

The example

{
  "lengthM": 3.5,
  "iCm4": 800,
  "appliedLoadKn": 200
}

Agents: POST /faculty/meng-civil/column_euler with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Water pressure and head · water_pressure

Try with the example

What pressure does a height of water give at a fixture, and what head does a pressure represent?

Reference: p = ρ·g·h; 1 bar = 100 kPa ≈ 10.2 m of water

Returns

pressureKpa: Static pressure (kPa)
pressureBar: The same pressure (bar)
headM: Equivalent head of water (m)
fixtureOk: Static pressure ≥ minimum for the fixture

The example

{
  "headM": 25
}

Agents: POST /faculty/meng-civil/water_pressure with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Pipe wall thickness (Barlow) · pipe_wall_barlow

Try with the example

What wall thickness contains a pressure in a pipe of a given diameter and material, and what pressure can a given pipe take?

Reference: Barlow: t = P·D/(2·S); allowable stress S = yield ÷ factor of safety

Returns

requiredWallMm: Minimum wall thickness (mm)
allowablePressureKpa: Allowable pressure for the given wall (when given) (kPa)
wallOk: Given wall ≥ required (true when none given)

The example

{
  "outsideDiameterMm": 63,
  "pressureKpa": 1600,
  "yieldStrengthMpa": 22,
  "wallThicknessMm": 5.8
}

Agents: POST /faculty/meng-civil/pipe_wall_barlow with JSON {pan, …inputs} and the x-402-payment header. Manifest.

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