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Thread: 2" Pipe Deflection - in number of degrees

  1. #1
    Associate Engineer
    Join Date
    Sep 2012

    Question 2" Pipe Deflection - in number of degrees

    Can someone please help me with the following problem:

    What is the maximum deflection of 2-inch pipe in number of degrees (maximum deflection in number of degrees that the longitudinal axis of the pipe may be permanently deflected in any length along the pipe axis equal to the diameter of the pipe)?

    Pipe description:
    Carbon Steel, Schedule 80, wall thickness 0.218, MAOP 2500 psig.

    Thank you in advance!

  2. #2
    Principle Engineer
    Join Date
    Mar 2011
    It's not degrees, but the radius of the curve, R that limits the elastic motion.

    The inverse of that radius is called the curvature, 1/R ; the moment that cause it is equal to
    and the stress,s is given by
    when s reaches the yield stress, sy, coinciding with loss of elasticity and r at the minimum radius, Rmin


    M= moment
    E= modulus of elasticity
    c= distance from neutral axis to outer fiber of crossection
    s= flexural stress
    I moment of inertia of crossection
    It is important to note that this radius is set at the point of yield, so that if you bend the bar with a cantilever load with increasing force the bar retains that minimum R for distance.After releasing the force that causes the bending, the only part that is set is over that radius after which the bar is straight, The angle is approximately x/Rmin in radians.where x is the distance from the start to the end of the radius, measured along the pipe.

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