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This is assignment for Material and Structures course. To cover following points, Prof. Aparijita Singh assigned this task at Andhra University to engineering students: Torsional, Rod, Equilateral, Cross-section, Stress, Function, Constant, Rate, Twist, Contours, Magnitude, Cantilever, Beam, Thickness, End-torque
Typology: Exercises
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The behavior of a torsional rod with an equilateral cross-section with height of a can be described via the following stress function:
3 y – 2/3 a) (x + 1/3 a)
y
x
a 2/3 a
16.20 Home Assignment #6 Page 2 Fall, 2002
For the two beams, determine and compare:
(a) The angle of twist, α, (in degrees) between the two endfaces.
concentrations near corners have been relieved by adequate fillets).
(c) A T-section of the same height of 90 mm is also being considered in this case. What length would the top of the “T” need to have in order for the resistance to torsion be the same as for the channel section? As for the I cross- section? All pieces continue to have a thickness of 5 mm.
90 mm
5 mm
35 mm
5 mm
35 mm
5 mm
5 mm
90 mm
5 mm
5 mm
5 mm 5 mm