PROJECT: PROJECT NO: SUBJECT: DESIGNED BY: CHECKED BY: DATE:

Calculation external loads on buried pipe

Note: Add values indicated as: Pt (PSI)

x

External Loads on Pipe

Pt =

Pb+Ps+Pl

Pt Pb Pl Ps

Total load Backfill load Live load Surface load

CL800 Truck Fully Loaded

Assuming only 1 haul truck

Backfill load Pb (psi) w unit weight of fill (lb/cu ft) H height of fill above top of pipe (ft) Live load Pl (psi) - CL800 Fully Loaded Boussinesq Formula (in psi)

w x H / 144 124.1343 lb./cu.ft.

(3 x If x W w x H3 ) / (2 x pi x r5 * 144)*2

If Impact factor ( Off road vehicles: 2 to 3) Ww Wheel load (lb.) H Vertical depth to pipe crown (ft) r Distance from point of load application to the pipe (ft) r = √ X2 + H2 X Horizontal distance from point of load application to the pipe (ft)

provided by SCL

Double sets of dual wheels were considered

1 25,179 lb See table See table 3.00 ft

From Vehicle PressureEst. Spreadsheet

10.22474

Boussinesq Equation Taken from Guidelines for the Design of Buried Steel Pipe by American Lifelines Alliance July 2001 (Internet downloaded) This formula does not contain the Impact Factor that was introduced in our calculations for Off road vehicles

Newmark Influence Chart

∆ q = qI 2

I2 =

 2mn m 2 + n 2 + 1  1  2mn m 2 + n 2 + 1  m 2 + n 2 + 2    2  + tan −1  2  2 2 2 2 2  m + n 2 − m 2 n 2 + 1  4π  m + n + m n + 1  m + n + 1    

m=

B z

n=

L z

0.25m

0.6m

E:\Work1-WP\Shell Calcs\08 Pipe Sleeve\Pipe Sleeves_CL800 - Newmark

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PROJECT: PROJECT NO: SUBJECT: DESIGNED BY: CHECKED BY: DATE: Timoshenko Formula (in psi) If Ww H aC

Calculation external loads on buried pipe

( If x W

3

w

Impact factor ( Off road vehicles: 2 to 3)

) / 144

25,179 lb See table ft 1.61 sq. ft.

rT

Equivalent Radius (ft) rT = √ aC / pi

E:\Work1-WP\Shell Calcs\08 Pipe Sleeve\Pipe Sleeves_CL800 - Newmark

2 1.5

1

Wheel load (lb.) Vertical depth to pipe crown (ft) Contact Area (sq. ft.)

Surface load Ps (psi) L(lb) static surface load z(ft) = H vertical distance from top of pipe to surface load level(ft) R(ft) straight line distance from top of pipe to surface load(ft) x(ft) horizontal distance(ft) y(ft) horizontal distance(ft)

2

/ aC ) x (1 - ( H / ( rT + H )

From Vehicle Pressure Est. Spreadsheet

0.72 ft

3 5 L x z / 300 x R

0 See table R= 0 0

lb ft √x²+y²+z² ft ft

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