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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 Yield YS: 42100 psi
304 Stainless Steel Yield YS: 31200 psi
AL6061 Yield YS: 40000 psi
AL7075 Yield YS: 73000 psi
Inconel 718 Yield YS: 160000 psi
Inconel 625 Yield YS: 66700 psi
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)
316 Stainless Steel UTS UTS: 84100 psi
304 Stainless Steel UTS UTS: 73200 psi
AL6061 UTS UTS: 45000 psi
AL7075 UTS UTS: 83000 psi
Inco 718 UTS UTS: 199000 psi
Inco 625 UTS UTS: 128000 psi
Butt Joint (Weld) This joint type joins two workpieces in the same plane with their edges meeting or with a root opening lying parallel to one another. Use butt joints to join plate, pipe, tubing or any other application where a smooth, flush weld face is desired.
Corner Joint (Weld) When pieces are joined at 90 degrees and take the shape of an L. These joints are easy to assemble and require little, if any, edge preparation. Corner joints are often used for projects that require a square frame, such as fabricating a weld table.
Open vs Closed Corner Joint Open: Best for strength as the stress goes through the material more efficiently Closed: Best for thin materials under low stresses to avoid burnthourgh
Lap Joint Overlapping plates welded together
Choosing between Lap and Butt Joint Butt joint will result in a more flush contour, leaving the workpieces in the same plane. Lap joints can provide more strength in higher-stressed areas, but the joints are more noticeable and do not result in a flush contour.
T-Joint The edges of your two workpieces meet at approximately 90 degrees and take the shape of a T. T-joints possess good mechanical strength, especially when welded from both sides.
Created by: elib3
 

 



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