pipe cantilever
pipe cantilever
(OP)
This should be simple one - but have no formula book.
I have a pipe sticking out of the ground that has been pushed down with a excavator bucket to align with the adjoining pipe.
i want to do a simple calc based on a cantilever beam (but with a pipe fixed in) to find the max deflection allowallable for given SMYS.
any good web sites..? or formulas known? Thanks






RE: pipe cantilever
You have to avoid yielding.
Avoid Bucling
Avoid denting ( local deformation)
A fixed pipe at one end clamped ,pipe length = L, with a bormal force F at the other end, will give:
Max. bending moment = F*L
Max. bending stress = F*L / (modulus of resistance)
This Max Bending stress should be about < (0.67 * Yieled = 161 N/mm2)
Modulus of resistance = ( 3.14/ 32 )*[ (Do ^4)- (Di^4) ]: Do
in [mm3]
Do = pipe outside diameter in [mm]
Tnom = pipe nominal thickness in [mm]
Di = Pipe inside diameter [mm]
Di = Do - 2*(0.875 * Tnom)
Deflection = F * (L ^3) / ( 3*E* I)
E= Young modulus 210 000 N/mm2
I = Moment of inertia = ( 3.14/ 64 )*[ (Do ^4)- (Di^4) ]
in [mm4]
You coan find all the above and ..more on the net or in Roark book, etc
RE: pipe cantilever
RE: pipe cantilever
RE: pipe cantilever
Also, "Tentative Criteria for Structural Applications of Steel Tubing and Pipe" by D.R. Sherman, Ph.D. offers some good information on allowable stresses in tubing and pipe.