Design Development Calculations

Water Pressure Calculations

Static Head = 150 feet
C = 100
Q = 110 gpm
L = 20,000 ft
D = 10.00 in
Dynamic Flow Loss = 3.39 ft
Dynamic Head = 150 ft - 3.39 ft = 146.61 ft
Actual Pressure = 63.47psi

Heat Loss/Gain Calculations

Q = 1/15(15,000ft^2)(70 F) = 52,500 Btu/hr

Structural Design Calculations
Fy = 50,000 psi
54 Foot Beam
500 lb/ft Uniform Load
Reaction Forces at A and B = 13,500 lb
Moment Maximum Force = 182,250 lb*ft
Required Nominal Moment = Maximum Moment(1.67) = 182,250lb*ft(1.67) = 305,000 lb*ft
Zx = Mn/Fy = 305,000 lb*ft / 50,000 lb*ft = 6.1 inches cubed
W10X12 Beam Selected
Required Sheer Strength = Reaction A * 1.5 = 13,500lb(1.5) = 20,250 lb
Actual Sheer Strength = .6(Fy)d(tw) = .6(50,000psi)9.87"(.190") = 56,259lb, So the sheer strength is good
L/240 = Maximum Deflection = 20 ft(12in)(There are columns supporting the beams at the walls of the hallway, effectively cutting the length of the beam for deflection)/240 = 1in Deflection
W10X12 is 1.1 inch deflection, so W10X15 has .9 inch deflection, so W10X15 was selected for use.