Curved Beam - VTU e-Learning
Curved Beam - VTU e-Learning
Curved Beam - VTU e-Learning
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Area of cross section A = π<br />
d2 = π<br />
x602 = 2827.433mm 2<br />
Distance from centroidal axis to force l = rc = 80mm<br />
Bending moment about centroidal axis Mb = Fl = 20,000x80<br />
=16x10 5 N-mm<br />
Distance of neutral axis to centroidal axis<br />
e = rc rn<br />
= 80 77.081=2.919mm<br />
Distance of neutral axis to inner radius<br />
ci = rn ri<br />
= 77.081 50=27.081mm<br />
Distance of neutral axis to outer radius<br />
Direct stress σd = <br />
co = ro rn<br />
= 110 77.081=32.919mm<br />
<br />
= <br />
.<br />
= 7.0736N/mm 2 (comp.)<br />
Bending stress at the inner fiber σbi = <br />
<br />
= .<br />
..<br />
Bending stress at the outer fiber σbo = =<br />
Combined stress at the inner fiber<br />
= 105N/mm 2 (compressive)<br />
<br />
.<br />
..<br />
= 58.016N/mm 2 (tensile)