Control & ModelingDiscipline: Engineering Mechanics & Structures (CIV1200)
Shaft Torsion & Thin Cylinder Pressure Simulator
Dual-mode mechanical stress engine simulating solid/hollow shaft pure torsion shear stress gradient (T/J = τ/r), polar modulus (Zp), power transmission, and thin-walled cylinder circumferential (hoop) vs longitudinal membrane stresses.
Instrument State:Live Analytical DSP Engine
Torsion of Shafts & Thin-Walled Pressure Vessels Laboratory
Analyze pure torsion shear gradients (T/J = τ/r = Gθ/L) and thin cylinder circumferential hoop vs longitudinal stresses.
Applied Torque (T):450 N·m
Outer Diameter (D):50 mm
Inner Diameter (d):0 mm (Solid)
Set to 0 mm for solid shaftShaft Length (L):1.5 m
Safe Design (FOS = 3.27)
Peak Shear Stress (τ_max)
18.3 MPa
Allowable: 60 MPaAngle of Twist (θ)
0.79°
0.0138 radians along 1.5 mPolar Section Modulus (Zp)
24.5 cm³
J = 61.4 cm⁴Technical Instrument Specifications
Torsion FormulaT/J = τ/r = Gθ/L
Polar ModulusZ_p = πd³ / 16 (Solid), π(D⁴ - d⁴) / (16D) (Hollow)
Power & TorqueP = 2πNT / 60 (Watts)
Thin Cylinderσ_h = pd / (2t), σ_L = pd / (4t) = σ_h / 2
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