To analyze the deformations in a straight rod with a uniform cross-sectional area made out of a homogeneous material that is subjected to an externally applied bending moment.

As shown, a cantilevered beam of length L = 5 m is fixed at A. It has a moment of M = 35.0 kN?m applied at B and a diameter of d = 600 mm.

Part A - Bending moment diagram

The cantilevered beam shown is subjected to a 35.0 kN?m moment at B. Draw the bending moment diagram for this beam.

Part B - Normal strain at a point above the neutral axis

A small segment of the beam located a distance x along the beam’s length and having a thickness? x is shown below (in profile view) in the undeformed and deformed positions, respectively. If the radius of curvature is? = 2.5 m, find the normal strain? at y = 216 mm above the neutral axis.

Part C - Maximum normal strain

The normal strain distribution of an isolated segment of the beam is shown. If c = 300 mm, y = 216 mm , and ? = 2.5 m, what is the maximum normal strain? max in the beam?

  
  

Transcribed Image Text:

longitudinal аxis As' Ar longitudinal аxis As' Ar