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CEA Crib Sheet Preparation. Heat Loss Formula. Q = A * u * T Q= Total Heat Loss/ or Gain A= total area of walls (minus area of windows & doors) u= 1/R-value (R=sum of material R-values in wall) T= temperature differential (required interior temp – avg. temp).
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Heat Loss Formula • Q = A * u * T Q= Total Heat Loss/ or Gain A= total area of walls (minus area of windows & doors) u= 1/R-value (R=sum of material R-values in wall) T= temperature differential (required interior temp – avg. temp)
Sizing a footer calculation(soil bearing pressure) • q = L / A q = soil bearing pressure L = load A = area
Calculation for Reaction (of a symmetrically loaded beam) • RA = RB Reaction on one end of beam “A” and other end “B” are equal • Reaction on one end must be equal to other end…. or in equilibrium. To solve they must be equal. Therefore , it can be said that…….. • 0 = RA - RB • So, Total Reaction, or R = Total Load / 2 which means R = ( W * L ) + P / 2 (W = wt / ft of beam * L = length of beam ) + P = applied load / 2 • solve for R, then divide/2so that RA = RB
Moment calculation • M = wL2 / 8 + Pa use Pa , only if applicable • This solves for Moment @ midspan of beam …this will allow you to draw moment diagram • wL2 = weight * Length of beam squared • Pa = total load applied (ex. If there are 5 - 200 lb loads = 1000)
Section Modulus • Section Modulus refers to the area of the cross section of a beam that you are calculating for to support load • Sx = M * f(b) • Sx = section modulus • M = moment • f(b) = allowable bending stress
Water Supply calculations • Head loss (Hf)-the Hazen Williams formula • Hf = 10.44 * L * Q 1.85 C 1.85 * d 4.8655 Hf = head loss due to friction (ft) L = length of pipe (ft) – this includes published “equivalent” length of fittings Q = flowrate of water (gpm) C = Hazen-Williams constant D = diameter of pipe (in.) Head loss is energy loss due to friction as water moves through all parts of system (ie. Pipes, Fittings (elbows, tees, valves, reducers, etc.), Equipment (ie. pumps, etc) -continue next slide-
Water supply continued • Static Head – potential energy of water at rest, calculated as change in elevation of height of the source of water and the height of discharge, measured in feet • Static Pressure – pressure of water at rest, measured in (psi), 2.31 ft of water = 1 psi. Ex. What is the static pressure of water at distribution if the static head is 53 ft? 53ft * 1psi / 2.31ft = 22.9psi • 1 mile = 5280 ft. • Dynamic Head – head of moving water, measured in feet • Dynamic Head = Static Head – Head Loss • Dynamic / Actual Pressure, measured in PSI • Dynamic Pressure = Actual Pressure • Actual Pressure = Dynamic Head * 1 psi / 2.31 ft