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Calculation of Pipe Support

This document summarizes the calculations to verify the safety of a pipe support. It calculates the total load on the support, force on the bolts, stresses on the horizontal beam, deflection of the beam due to load, and compares all values to recommended allowances. All values are within recommended allowances, therefore the pipe support is determined to be safe.

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muthuvelaa
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30K views2 pages

Calculation of Pipe Support

This document summarizes the calculations to verify the safety of a pipe support. It calculates the total load on the support, force on the bolts, stresses on the horizontal beam, deflection of the beam due to load, and compares all values to recommended allowances. All values are within recommended allowances, therefore the pipe support is determined to be safe.

Uploaded by

muthuvelaa
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Pipe Support calculation 2000

(Load is at Cantilever of Beam) 1000

Distance Between two support(S) = 3000 mm (Maximum)


Diameter of Pipe(D) = 150 mm D
Density of Steel() = 8000 kg/m
Pipe Wall thickness(t) = 6 mm
Specific Gravity(g) = 9.81 m/s2

Load on Support(W) = .D.t.S..g

W = 665.96 N

H
Unit Weight of bar = 4.5 kg/m X2
Length of bar(L) = 400 mm
Total Weight of bar = Unit mass x L x g X1
Wb = 17.66 N
X

Weight of Media
Density of Water( ) = 1000 kg/m
Density of air() = 1.23 kg/m
Load on Support(W) = .D.S..g

Wm = 520.28 N

Total Load on Support(F) = W+Wb+Wm

= 1,203.90 N

Distance from support to F (d) = 150 mm


Moment due to Load (Mb) = Fxd

= 180,585 N.mm

Distance of lowest bolt from base of support


X = 100 mm

Total vertical length of support(H) = 100 mm

X1 = 50 mm [50+(800-100)/2]

X2 = 0 mm [800-50]

Force on Bolt per mm Fb = Mb/(X+X1+X2)

Force on Bolt per mm = 14.45 N/mm

Force on top bolt F = Fb x (H-X)


= 0.00 N

= 0.00 KN
Recommended Force = 30 KN (From Hilti Stud Anchor)

Total force on bolt < Recommended Force


Therefore,
The Stud anchor is safe for supporting system.

Cross sectional area of beam (A) = 564 mm


Moment of Inertia(I) = 126,000 mm4
Beam width (y) = 50 mm (Equal Angle)
Beam Depth(h) = 50 mm (Equal Angle)
Shear Stress on horizontal Bar = F/A
xy = 2.13 N/mm

Stress on horizontal Beam (x) = Mb.y/I

x = 35.83 N/mm

Combined stress is simplfied formula of Strain Energy Distorsion using Von Mises Theory of
Failure Equition and the bending stress & shear stress for Y-Z and Z-X plane will be zero.

Effective Stress = [2{ (x-y) + (y-z) + (z-x) + 6(xy+yz+zx)}]^0.5/(2)^0.5

= [(2x + 6 xy)]^0.5 /(2)^0.5

Effective Stress = 36.02 N/mm


Allowable Stress = 172 N/mm

Effective Stress < Allowable Stress

Pipe+Water weight(Fp) = 1,186.24 N

Modulus of Elascity (E) = 210,000.00 N/mm

Deflection due to wt of pipe


and water = Fp d(3L-d)/6 E I

= 28024901438
1.5876E+11

= 0.18 mm

Deflection due to wt of beam


and water = FL/8EI

= 0.01 mm

Total Deflection = 0.18 mm

Allowable Deflection = L/240

Allowable Deflection = 1.67 mm

Defelction Due to Weight < Allowable deflection of beam

Therefore, The support is safe.

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