Aerospace & Aeronautical Engineering / Multi-Cell Wing Box Torsion
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LABORATORY 37 · AEROSPACE & AERONAUTICAL ENGINEERING

Torsion and Shear Flow Distribution in Multi-Cell Wing Boxes

Measure shear flow q_1, q_2 in a 2-cell thin-walled aircraft wing box using Bredt-Batho theory and determine torsional stiffness constant J. Explore interactive wind tunnel simulation, flight dynamics, and aerospace engineering telemetry.

AERODYNAMICS · PROPULSION · FLIGHT DYNAMICS

Your virtual aerospace engineering laboratory.

TWIST RATE X 10^3—
FLIGHT & TEST CELL TELEMETRY

Ready to sample with T = 1.5 kN-m.

1.5 kN-m
Wing box length L: 1500 mm

Adjust T, then execute aerospace trial.

Aeronautical telemetry and flight states are evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity aerodynamic modeling.

Aeronautical assumptions and boundary condition limits

Bredt-Batho theory assumes constant shear flow along each segment without localized rivet hole stress concentrations. Linear regression of the rate of twist against applied torque yields a compliance slope of 1.1765 mrad/(kN-m^2) corresponding to GJ = 850.0 kN-m^2 with R^2 > 0.999999.

Aeronautical apparatus & wind tunnel sensors.

2-Cell Aircraft Wing Box Test Specimen

Aviation-grade aluminum 2024-T3 wing box (L = 1500 mm, chord = 400 mm, depth = 80 mm) with front, center, and rear webs.

Closed-Loop Torsional Actuator Rig

Applies pure torque T up to 5.0 kN-m via opposing hydraulic cylinders and torque disk.

Twin Rotary Inclinometer Stations

Measures relative cross-sectional rotation theta_1 and theta_2 at two spanwise stations to calculate dtheta/dz.

48-Channel Rosette Strain Gauge Network

Measures shear strains gamma_xy on cell outer skins and interior web to evaluate shear flow q = G*t*gamma.

Laser Alignment Beam Interferometer

Monitors vertical and lateral displacements to ensure zero spurious bending during pure torsion testing.

Structural Analysis Workstation

Solves multi-cell Bredt-Batho compatibility matrix equations and computes torsional stiffness J.

FOLLOW THE METHOD

A reason behind every step.

Measure shear flow q_1, q_2 in a 2-cell thin-walled aircraft wing box using Bredt-Batho theory and determine torsional stiffness constant J. Standardized parameter settings: 0.6, 1.0, 1.5, 2.0, 2.5, 3.0 kN-m.

01

Wing Box Cantilever Root Clamping

Rigidly clamp the root bulkhead into the heavy reaction frame, ensuring zero rotational compliance at z = 0.

02

Torque Disk Calibration

Mount the tip torque loading disk, aligning hydraulic actuators to generate pure couple torque without net shear.

03

Initial Torque Loading

Apply initial torque T = 0.6 kN-m, recording skin shear strains and spanwise rotation angles.

04

Systematic Torque Stepping

Step the torque through T = 1.0, 1.5, 2.0, 2.5, and 3.0 kN-m, allowing 30 seconds at each plateau for strain stabilization.

05

Twist Rate and Shear Flow Extraction

Compute rate of twist dtheta/dz = (theta_tip - theta_mid) / Delta z and extract shear flows q_1 and q_2 from skin rosette strains.

06

Torsional Compliance Linear Regression

Plot (dtheta/dz) x 10^3 versus T, perform linear regression to determine slope 10^3 / (GJ), and compute experimental torsional constant J.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into aerodynamic insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates Multi-Cell Wing Box Torsion mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
\left(\frac{d\theta}{dz}\right) \times 10^3 = \left(\frac{10^3}{G J}\right) \cdot T \implies \left(\frac{d\theta}{dz}\right) \times 10^3 = m \cdot T + b
#Applied Torsional Torque T (kN-m)Twist Rate x 10^3 (mrad/m)Applied Torsional Torque T (kN-m)Torsional Twist Rate (dtheta/dz) x 10^3 (mrad/m)Remove

No readings yet. Execute an aerodynamic trial and record it.

Calculate it yourself.

CHECK YOUR UNDERSTANDING

Explain what the aerodynamic metrics mean.

According to the Bredt-Batho formula for thin-walled closed tubes in torsion, how does applied torque relate to shear flow q and enclosed area A_m?

What geometric compatibility condition must be satisfied across all cells of a multi-cell wing box under torsion?

In an interior spar web shared between Cell 1 and Cell 2, what is the net shear flow?

For a measured torsional compliance slope m = 1.1765 mrad/(kN-m^2), what is the effective torsional rigidity G * J?