Results 1 to 1 of 1

Thread: Shigleys Indeterminate Beam Derivation

  1. #1
    Senior Member bugatti79's Avatar
    Jul 2010

    Shigleys Indeterminate Beam Derivation


    I am having difficulty deriving the moment expressions for a rigidly supported beam fixed at either ends and subjected to a point load as shown in the attachment.

    The problem is that I want to derive the left hand fixing moment $\displaystyle M_1$ and $\displaystyle M_{ab}$ as in Shigleys. However, I believe my attempts are not leading to these expressions by shigley (engineering book).

    My derivations are based on the free body diagram as attached with clockwise moments positive.

    $\displaystyle M_{xx}=E*I \frac{d^2 y}{dx^2}$

    Taking moments about the section yields

    $\displaystyle M_{xx}+R_1 x-F(x-a)-M_1=0 \implies M_{xx} = F(x-a)+M_1-R_1 x$

    Subjecting this to the curvature realtion and integrating twice will not lead me to the equations for $\displaystyle M_1$ and $\displaystyle M_{ab}$

    Any ideas?


    Please note that I have posted this at physics forum Shigleys Indeterminate Beam Derivation

    I will inform both post of any updates on a daily basis.
    Attached Thumbnails Attached Thumbnails Shigleys Indeterminate Beam Derivation-imag0080.jpg   Shigleys Indeterminate Beam Derivation-shigleys.jpg  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Dynamics of a beam
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: May 18th 2011, 06:09 AM
  2. Derivation and Jordan derivation
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 8th 2011, 09:22 PM
  3. Classify the beam
    Posted in the Geometry Forum
    Replies: 0
    Last Post: Sep 15th 2010, 08:52 AM
  4. Engineering Indeterminate Beam
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: Nov 3rd 2009, 11:43 PM
  5. Strength Of A Beam
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Jun 11th 2009, 04:20 AM

/mathhelpforum @mathhelpforum