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ENGR5004 / Week 3
Old spec Statics Session 5 Example 2TutorialOld spec ENGR2162:210 min

ENGR216 (old spec) Statics session 5 worked example 2 (slides 12-14) official answers

An open-link chain is made by bending low-carbon steel rod of diameter 2c=132c = 13 mm into the shape shown. The chain carries a load of 712 N, whose line of action passes through the centres of the curved ends, at a distance d=16d = 16 mm from the centroid of the cross section of each straight portion.

Determine:

Open chain link made from 13 mm diameter rod; 712 N pulls on each curved end; the load line is 16 mm from the centreline of each straight side.
Open chain link made from 13 mm diameter rod; 712 N pulls on each curved end; the load line is 16 mm from the centreline of each straight side.
Formulas you may need
  • Eccentric axial loading: F=PF = P, M=PdM = Pd, σx=PA−MyI\sigma_x = \dfrac{P}{A} - \dfrac{My}{I} (on the formula sheet)
  • Solid circle: A=πr2A = \pi r^2, I=πr44I = \dfrac{\pi r^4}{4} (on the formula sheet)
  • Maximum bending stress σmax=∣M∣cI\sigma_{max} = \dfrac{|M|c}{I} (on the formula sheet)
  1. (a)
    the largest tensile and compressive stresses in the straight portion of a link;
  2. (b)
    the distance between the centroid and the neutral axis of the cross section.