Question

PARRICANED From 1020 HR STEEL W17H A DIAMETER -A CYLINDRICAL PRESSURE UESSEL, SHOWN BELOW, IS EMPLOYED AS A WATER STORAGE TANK FOR A SMALL MUNICIPALITY, DETERMINE THE HEIGHT OF THE WATER "h" THAT CAN BE MAINTAINED IN THE TANK IF THE City's ENGINEERING DIRECTOR SPECIFIES A Safety FACTOR OF 3.0. THE TANE IS OF D= 36 FT, A HEIGHT HE GOFT, AND A THUCWESS KO t = 0.375 in. COI H HINTS! Ⓡ HOOP STRESS 7 = prlt DESKU STRESS ) DESICW PRESSURE = 8h; WHERE 8 IS THE DENSITY OF FRESH WATER = 8 = 62.4 16/*** Sy = 41EW Sulse WHERE Sy for 1020 HR STEEL IS 42 ksi SPECH

Answer 1

Pressure p=&h=62.4h db/ft2 Hoop stress 6 = Pr 9 = 2 = 36 = 18 ft (62.4h) (18) t= 0.375 in = 0.375 ft 12 6 = (0.375 6) 12 6 35942, 4 h eblft? -(1)

Design stress sal SE Sy = 42 ksi DESIGN 42 3 SF=3.0 = 14ksi = 148 103 x 144 eblft? = 2016 X103 eblfta (61) DESIGN - (2) Equate (1) and (2) 35942.4 h = 2016 X103 h = 56.090 ft
Equate hoop stress with the design stress.

This gives h= 56.090 ft.