StressOne

Explore mechanics of materials, beam deflection, and stress analysis in a focused 3-tier Apple-native engineering workbench. StressOne covers 55 closed-form analytical modules across 20 interactive calculation screens organized into 4 core sections: Stress & Strain, Sections & Yielding, Beams & Loading, and Stability & Connections. The interface features deterministic 3-column progressive disclosure, high-precision interactive Mohr's circles, cross-sectional depth stress profile scanners, classical engineering presets, and two embedded offline PDF manuals. #### 【4 Engineering Sections · 20 Visual Screens · 55 Calculation Modules】 - **Stress & Strain (4 Screens)**: - **Stress at a Point**: Interactive Mohr's circle, arbitrary rotated face stress transformation, principal stresses ($\sigma_1, \sigma_2$), maximum shear, and real-time stress element visualization. - **Failure Criteria**: Five governing envelopes (Tresca, von Mises, Rankine, Mohr-Coulomb, Drucker-Prager) with instantaneous factor-of-safety margins. - **Strain Rosette**: $45^\circ$ rectangular, $60^\circ$ delta, and arbitrary 3-gauge rosette transformation into principal strains and stresses. - **Stress–Strain Curve**: Elastic modulus, yield plateau, strain hardening, and necking with external CSV data import. - **Sections & Yielding (5 Screens)**: - **Section Builder**: I-beam, T-section, channel, box, and circular section properties ($A, y_c, I_x, I_y, I_{xy}, Z, S$). - **Torsion**: Solid/hollow shafts, torsional shear stress distribution, and angle of twist. - **Thick Walls & Discs**: Lamé thick cylinder solutions, internal/external pressure, autofrettage residual stress, and rotating disc inertia stress. - **Plastic Bending**: Elastic core progression, plastic section modulus, and fully plastic moments ($M_p$). - **Axial & Torsional Yielding**: Combined tension-torsion plastic yield interaction surfaces. - **Beams & Loading (7 Screens)**: - **Beam Diagrams**: Internal shear force ($V$) and bending moment ($M$) diagrams for point loads, uniform loads, and moments. - **Beam Deflection**: Exact elastic curves, slopes, and boundary condition solutions. - **Combined Loading**: 3D axial force, biaxial bending, and transverse shear with full cross-sectional depth scans. - **Bending Stress**: Flexure formula, principal inertia axes, and unsymmetric bending. - **Shear Stress**: Jourawski shear stress distribution and first moment of area $Q(y)$. - **Reinforced Concrete**: Cracked/uncracked transformed section analysis and ultimate bending capacity. - **Curved Beams**: Winkler-Bach hyperbolic stress distribution and neutral axis shift. - **Stability & Connections (4 Screens)**: - **Columns**: Euler buckling curves, Johnson parabolic transition, effective length factors ($K$), and AISC-360 design limits. - **Helical Springs**: Wahl curvature correction factor, torsional shear, and axial spring stiffness. - **Riveted & Welded Joints**: Eccentric bolt/rivet patterns, direct shear, and fillet weld throats. - **Axial & Thermal Loading**: Indeterminate bar assemblies, thermal expansion stresses, and gap closures.