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QuestionAnswer
Bernoulli's P + 0.5*p*v**2 + p*g*h = Ptot
Mass Flow mdot = p*v*A
Cantilever Beam Stress m*c/I
Cantilever Beam Deformation F*L**3 / 3*E*I
Second Moment of Area I, equations vary from shape to shape for squares b*h**3 / 12
Conservation of Mass and Momentum mdot*vi - mdot*vf = delta Momentumn = Pi*Ai - Pf*Af
Conservation of Energy pf*hTf*vf*Af - pi*hTi*vi*Ai = dQ/dt + Wdot rho*Cp*T + 0.5*rho*v^2 = constant
Dynamic Pressure 0.5*p*v**2 = q = gamma*p*M**2 /2 = kenetic energy per volume
Hydraulic Head P/p*g + v**2 / 2*g + Z = Ptot/p*g = Head
H - Enthalpy Total working energy in a fluid
Specific Heat Q = m*Cp*dT
Speed of sound a = sqrt(gamma*R*T) = sqrt(gamma*P/p)
Pressure and Density Relation in an ideal gas isentropic flow P/p**gamma = const = P0/p0**gamma
Stagnation Temperature Ratio Relations P/P0 = (p/p0)**gamma = (T/T0) ** (gamma/(gamma-1))
Reynold's Number p*v*D/mew
Laminar Flow Re <= 2100
Turbulent Flow Re >= 2100
Discharge Coefficient Cd = mdot/(A*sqrt(2*p*(P2-P1)))
Flow Coefficient Cv = Q*sqrt(SG/dP), SG- Specific Gravity for water is 1
Area Mach Relation dA/A = (M**2 - 1)dv/v
Pressure Loss in Laminar Flow (Darcy Weiback) dP = f * (L/D) * 0.5*p*v**2
Mass Spring Natural Frequency (massless spring) w = sqrt(K/m)/2*pi (Hz) = sqrt(K/m) (rad/s)
Mass Spring Natural Frequency (Massive spring) w = sqrt(K/m+ms/3)/2*pi
Work Energy = int(fdx)
Spring Energy Es = 1/2 kx**2
Internal Energy U = mCvT
Enthalpy h = mCpT
Euler's Buckling Equation n*pi**2 * E * I / L**2
n in Euler's Buckling Equation pinned-pinned: 1 pinned-fixed: 2 fixed-fixed: 4 fixed-free:0.25
Torque Equation T = I*alpha
Bolt Preload Equation T = F*K*e(minor diameter)
Von Mises Stress Equation sig = sq((sig1-sig2)^2 + (sig2-sig3)^2 + (sig3-sig1)^2)
Single Pin Shear Tav(Average Shear Stress) = V/Apin T Tmax = (4/3)*(V/A) (Solid Cyinlder) Tmax = 2*(V/A) (Hollow Cyinder) Tmax = (3/2)*(V/A) (Square Beam)
Dual Pin Shear Divide shear force by 2 in single pin shear
Lap Joint Weld Stress T = V/(W*t/sqrt(2)) (Draw)
Thick walled pressure vessel hoop stress sig = (PRo^2 + PRi^2)/(PRo^2 - PRi^2)
Ideal Gas compressibility factor usage When P>1000psi and T<-100F
Pstar/Pinf (Chocked Flow) Chocked if Pstar/Pinf >= (0.5*(gamma+1))^(gamma/(gamma-1))
Thrust Equation T = mdot*Ve + (Pe-Pinf)*Ae T = ISP*mdot*g
Rocket Eq dv = ve * ln(Minitial / Mfinal)
Bearing Stress Drawing
Shear Tear Out T = F/(2*e*t)
2nd Moment of Area Cylinder: (pi/64)*D^4 Hollow Cylinder: (pi/4)*(Ro^4 - Ri^4) Rectangle: (bh^3)/12
316 Stainless Steel Imperial Density: 0.289 lb/in³ UTS: 84100 psi YS: 42100 psi E: 28000 ksi CTE(0-600F): 9 µin/in-°F Cp: 0.12 BTU/lb-°F Melting Point: 2500F Thermal Conductivity: 113 BTU-in/hr-ft²-°F
316 Stainless Steel Metric Density: 8 g/cc UTS: 580 MPa YS: 290 MPa E: 193 GPa CTE(0-600F): 16.2 µm/m-°C Cp: 0.5 J/g-°C Melting Point: 1390°C Thermal Conductivity: 16.3 W/m-K
304 Stainless Steel Imperial Density: 0.289 lb/in³ UTS: 73200 psi YS: 31200 psi E: 28500 ksi CTE(0-600F): 9.89 µin/in-°F Cp: 0.12 BTU/lb-°F Melting Point: 2550F Thermal Conductivity: 112 BTU-in/hr-ft²-°F
304 Stainless Steel Metric Density: 8 g/cc UTS: 505 MPa YS: 215 MPa E: 193 GPa CTE(0-600F): 17.8 µm/m-°C Cp: 0.5 J/g-°C Melting Point: 1400°C Thermal Conductivity: 16.2 W/m-K
AL6061 Imperial Density: 0.0975 lb/in³ UTS: 45000 psi YS: 40000 psi E: 10000 ksi CTE(0-600F): 14 µin/in-°F Cp: 0.214 BTU/lb-°F Melting Point: 1100F Thermal Conductivity: 1160 BTU-in/hr-ft²-°F
AL6061 Metric Density: 2.7 g/cc UTS: 310 MPa YS: 276 MPa E: 68.9 GPa CTE(0-600F): 25.2 µm/m-°C Cp: 0.896 J/g-°C Melting Point: 600°C Thermal Conductivity: 167 W/m-K
AL7075 Imperial Density: 0.102 lb/in³ UTS: 83000 psi YS: 73000 psi E: 10400 ksi CTE(0-600F): 14 µin/in-°F Cp: 0.229 BTU/lb-°F Melting Point: 1000F Thermal Conductivity: 900 BTU-in/hr-ft²-°F
AL7075 Metric Density: 2.81 g/cc UTS: 572 MPa YS: 503 MPa E: 71.7 GPa CTE(0-600F): 25.2 µm/m-°C Cp: 0.96 J/g-°C Melting Point: 550°C Thermal Conductivity: 130 W/m-K
Inconel 718 Imperial Density: 0.296 lb/in³ UTS: 199000 psi YS: 160000 psi E: CTE(0-600F): 7.22 µin/in-°F Cp: 0.104 BTU/lb-°F Melting Point: 2300 - 2440 °F Thermal Conductivity: 79.1 BTU-in/hr-ft²-°F
Inconel 718 Metric Density: 8.19 g/cc UTS: 1375 MPa YS: 1100 MPa E: CTE(0-600F): 13 µm/m-°C Cp: 0.435 J/g-°C Melting Point: 1260 - 1336 °C Thermal Conductivity: 11.4 W/m-K
Inconel 625 Imperial Density: 0.305 lb/in³ UTS: 128000 psi YS: 66700 psi E: CTE(0-600F): 7.11 µin/in-°F Cp: 0.098 BTU/lb-°F Melting Point: 2350 - 2460 °F Thermal Conductivity: 68 BTU-in/hr-ft²-°F
Inconel 625 Metric Density: 8.44 g/cc UTS: 880 MPa YS: 460 MPa E: CTE(0-600F): 12.8 µm/m-°C Cp: 0.41 J/g-°C Melting Point: 1290 - 1350 °C Thermal Conductivity: 9.8 W/m-K
Mig Welding Metal inert gas aka GMAW, is when the filler and the electrode are the same material the filler wire is fed thru a mig gun where it is shielded by a gas and the wire itself produces the arc and also becomes the filler metal.
Tig Welding WIth TIG, GTAW, welding a tungsten electrode shielded by a gas (usually argon) generates the heat that produces the weld puddle. If filler metal is used, it is added separately either by hand or by a mechanized feeder.
Stick Welding WIth stick welding a tungsten electrode generates the heat that produces the weld puddle. If filler metal is used, it is added separately either by hand or by a mechanized feeder.
Laser Welding Shoot laser at metal. Deeper and less heat effected zone. Good for automated practices.
Oribital TIG welding automated in a circle in order to account for surface tension and gravity
Conduction Qdot = k*A/L * (T2-T1)
Convection Qdot = h*A*(T2-T1)
Radiation Out Qdot = A*sig*e*(T2-T1)**4
Radiation In Qdot = S*A*alpha*sin(theta)
Newtons Law of Cooling T(t) = Tinf + (T(0) - Tinf)*e**(-t/tau)
Torsional Stress tau = Torque*r/J(Polar Moment of Inertia)
Created by: elib3
 

 



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