Thin-Walled C-Channel Test Beam
Extruded aluminum C-channel (h = 100 mm, b = 40 mm, t = 2.5 mm, L = 1000 mm) mounted as a cantilever.
Aerospace & Aeronautical Engineering / Shear Center Determination
FREE TO EXPLORELABORATORY 36 · AEROSPACE & AERONAUTICAL ENGINEERING
Shear Center Determination in Thin-Walled Open Aerospace Sections
Apply transverse shear loads at variable offsets along a thin-walled C-channel spar to locate the shear center e_s where zero torsional twist occurs. Explore interactive wind tunnel simulation, flight dynamics, and aerospace engineering telemetry.
AERODYNAMICS · PROPULSION · FLIGHT DYNAMICS
Your virtual aerospace engineering laboratory.
TORSIONAL TWIST ANGLE THETA—
FLIGHT & TEST CELL TELEMETRY
Ready to sample with e = 0.0 mm.
Adjust e, 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
Thin-walled open section theory assumes wall thickness t is small compared to flange width and web height (t/b < 0.1). Linear regression of twist angle against load offset yields a slope of 0.2400 mrad/mm and intercept b = 4.4400 mrad, locating the shear center at e_s = -18.500 mm with R^2 > 0.999999.
Aeronautical apparatus & wind tunnel sensors.
Transverse Offset Loading Bar
Rigid perpendicular cross-arm attached to beam tip allowing load application at precise offsets e from web.
Calibrated Deadweight Loading Carrier
Applies constant vertical shear force P = 2.0 kN at millimeter-graduated offset stations.
Twin Precision Inclinometer / Laser Angular Sensors
Measures beam cross-sectional torsional twist angle theta with 0.01 mrad resolution.
Multi-Channel Linear Variable Differential Transformers (LVDT)
Measures vertical bending deflection v to separate bending from twisting.
Digital Structural Mechanics DAQ Workstation
Logs offset-twist data, executes linear regression, and computes experimental shear center e_s.
FOLLOW THE METHOD
A reason behind every step.
Apply transverse shear loads at variable offsets along a thin-walled C-channel spar to locate the shear center e_s where zero torsional twist occurs. Standardized parameter settings: -25.0, -15.0, -5.0, 5.0, 15.0, 25.0 mm.
01
C-Channel Rigid Clamp Mounting
Clamp the root of the C-channel beam into the heavy structural reaction wall, ensuring a fully restrained fixed boundary.
02
Offset Cross-Arm Zero Alignment
Attach the graduated offset loading bar to the free tip, calibrating e = 0 mm precisely at the centerline of the vertical web.
03
Offset Load Application Sweep
Apply vertical test load P = 2.0 kN at offsets e = -25.0, -15.0, -5.0, +5.0, +15.0, and +25.0 mm relative to the web.
04
Torsional Twist Angle Acquisition
Record the equilibrium cross-sectional twist angle theta (in milliradians) at each load offset using the laser inclinometer.
05
Zero-Twist Crossing Identification
Identify the specific load offset where twist angle theta is zero, confirming pure uncoupled bending.
06
Shear Center Linear Regression
Plot theta versus e, perform linear regression to determine slope m and intercept b, and compute shear center offset e_s = -b / m.
YOUR NOTEBOOK · 0 OBSERVATIONS
Turn measurements into aerodynamic insight.
Points are your recorded observations. The solid regression line validates Shear Center Determination mathematical scaling.
LINEAR REGRESSION FIT · y = mx + b
\theta = \left(\frac{P L}{G J}\right) (e - e_s) \implies \theta = m \cdot e + b
| # | Load Offset e from Web (mm) | Torsional Twist Angle theta (mrad) | Transverse Load Application Offset e (mm) | Beam Torsional Twist Angle theta (mrad) | Remove |
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