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MEE 427 Test 1
| Term | Definition |
|---|---|
| Normal Stress (sigma) equals what? | P/A (force over cross sectional area) |
| engineering strain equals what? | deflection over length |
| strength is proportional to what? | strain |
| strength equation | strength = E * strain |
| shear stress is proportional to what? | strain angle |
| shear stress eqn | tau = (modulus of rigidity (G))*shear angle |
| deflection eqn | PL/AE |
| v is called what? | poisson's ratio |
| v eqn | -(transverse strain)/(longitudinal strain) |
| v is typically what for steels? | 0.30 |
| Eqn relating E to G and v | E = 2G(1+v) |
| If given E and v, which values can be found? | Strain, principal stresses |
| Principal stress eqn | (sigma)1 = (E(strain1 + v*strain2))/(1-v^2) (sigma)2 = (E(strain2 + v*strain1))/(1-v^2) |
| Bending stress eqn | sigma = (Mc)/I |
| c is distance from what? | neutral axis |
| I for round xc eqn | I = (pi*d^4)/64 |
| bending stress for circular xc eqn | 32M/(pi*d^3) |
| how do you find the moment of inertia for a hollow beam? | Same equation, but subtract the inside diameter eqn from the outside diameter eqn |
| k = ? | di/do |
| converting torque to lb*in | 63000*HP/(RPM) |
| converting torque to lb*ft | 5252*HP/(RPM) |
| converting torque to N*m | 9549*kW/(RPM) |
| shear stress eqn | tau = T*rho/(J) = (16T)/(pi*d^3) |