ME 486 - Design of Mechanical Systems Quiz and Exam Resource Geometry Rectangle: Circle: Stress Transformations ; ; ; Stresses and deformations Tension, Compression: ; ; Direct Shear: Torsion: ; ; ; Pure bending: ; ; ; Singularity functions: Concentrated moment at x=a: Concentrated force at x=a: Uniformly distributed load starting at x=a: Ramp starting at x=a: if = if x a, x a ≥ ≤ if n > 0 if 0 n ≤ Shear stress due to bending: (circular section) ; (rectangular section) ; (structural shape) Castigliano's Theorem: Columns Critical slenderness ratio: Euler columns: ; ; for round columns Johnson Columns: ; for round columns Failure Theories Maximum Shear Stress Theory: Distortion Energy Theory: von Mises stress: Brittle Coulomb-Mohr Theory:
ME 486 - Design of Mechanical Systems Quiz and Exam Resource Geometry Rectangle: Circle: Stress Transformations ; ; ; Stresses and deformations Tension, Compression: ; ; Direct Shear: Torsion: ; ; ; Pure bending: ; ; ; Singularity functions: Concentrated moment at x=a: Concentrated force at x=a: Uniformly distributed load starting at x=a: Ramp starting at x=a: if x ≥ a, = if x ≤ a if n > 0 if n ≤ 0 Shear stress due to bending: (circular section) ; (rectangular section) ; (structural shape) Castigliano's Theorem: Columns Critical slenderness ratio: Euler columns: ; ; for round columns Johnson Columns: ; for round columns Failure Theories Maximum Shear Stress Theory: Distortion Energy Theory: von Mises stress: Brittle Coulomb-Mohr Theory:
ME_486_Equations.docx