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overturning calculations 345-gallon water tank <br />≔D 4.33 ft Tank Diameter <br />≔H 4.82 ft Tank Height <br />≔TankETW 100 lbf Empty Tank Weight <br />≔WaterD 62.4 pcf Water Density <br />≔TankWC =345 gal 46.12 ft 3 Water Capacity <br />≔WFrame 200 lbf Frame Weight <br />≔Wtotal =++⎛⎝⋅TankWC WaterD⎞⎠TankETW WFrame ⎛⎝⋅3.178 10 3 ⎞⎠lbf <br />≔A =⋅⎛ <br />⎝ <br />D <br />((2 <br />⎞ <br />⎠ <br />2 <br />π 14.725 ft 2 Base Area <br />≔Pgravity =――Wtotal <br />A 215.81 psf Base Pressure Due to Gravity <br />Overturning Check Due to Self-Weight (Gravity-Only) <br />≔CG =―H <br />2 2.41 ft Center of Gravity (CG, full tank) <br />Resisting Moment Due to Weight <br />≔Mresisting =⋅Wtotal ―D <br />2 6.88 10 3 ⎞⎠ft·lbf <br />≔Moverturning =⋅Wtotal 1 ft ⎛⎝⋅3.178 10 3 ⎞⎠ft·lbf <br />Factor of Safety Against Self-Weight Overturning <br />≔FS1 =―――――Mresisting <br />Moverturning 2.165 <br />check_FS1 =if FS1 1 “pass” “fail”“pass” <br />The tank is very stable against overturning due to its own weight alone <br />4 of 89 <br />3201 S Halladay St <br />5/5/2025