Curved Beam - VTU e-Learning

Problem no.2
Determine the value of “t” in the cross section of a curved beam as
shown in fig such that the normal stress due to bending at the extreme
fibers are numerically equal.
Given data;
Inner radius ri=150mm =150mm
Outer radius ro=150+40+100
=150+40+100
=290mm
Solution;
From Figure Ci + CO = 40 + 100
= 140mm…………… (1)
Since the normal stresses due to bending at
the extreme fiber are numerically equal we
have,
i.e Ci=
Radius of neutral axis
rn=
= 0.51724C 0.51724Co…………… (2)
rn =197.727 mm
ai = 40mm; bi = 100mm; bb2
=t;
ao = 0; bo = 0; ri = 150mm; rro
= 290mm;