For the given narrow triangular section, show that the approximate torsional load carrying capacity is given by
Question:
For the given narrow triangular section, show that the approximate torsional load carrying capacity is given by T = 2/3 μαc3oh. Use the parabolic membrane scheme outlined in Exercise 9.8 for any level y in the section.
Data from exercise 9.8
Employing the membrane analogy, develop an approximate solution to the torsion problem of a thin rectangular section as shown. Neglecting end effects at y =± b, the membrane deflection will then depend only on x, and the governing equation can be integrated to give z = ∅ = μα(a2 – x2), thus verifying that the membrane shape is parabolic. Formally compute the maximum membrane slope and volume enclosed to justify relations (9.5.15).
Equation 9.5.15
Step by Step Answer:
Elasticity Theory Applications And Numerics
ISBN: 9780128159873
4th Edition
Authors: Martin H. Sadd Ph.D.