See Equation 1.3.2.3, Section 1.5.2.5, and References 1.7.1(a) and (b) for general information on stress analysis of beams.
Beams of solid, tubular, or similar cross sections can be assumed to fail through exceeding an allowable modulus of rupture in bending (Fb). In the absence of specific data, the ratio Fb/Ftu can be assumed to be 1.25 for solid sections.
5.6.1.1.1 Round Tubes — For round tubes, the value of Fb will depend on the D/t ratio as well as the ultimate tensile stress. The bending modulus of rupture of 6Al-4V titanium alloy is given in Figure 5.6.1.1.1.
5.6.1.1.2 Unconventional Cross Sections — Sections other than solid or tubular should be tested to determine the allowable bending stress.
Figure 5.6.1.1.1. Bending modulus of rupture for solution-treated and aged Ti-6Al-4V alloy round tubing manufactured from bar material.
- 5.6(a)“Theoretical and Experimental Determination of the Bending Modulus of Rupture for Round Titanium Tubing”, Bendix Products Division (July 31, 1958).
- 5.6(b)Cozzone, F. P., “Bending Strength in Plastic Range”, Journal of the Aeronautical Sciences (May 1943).
- 5.6(c)Ades, C. S., “Bending Strength of Tubing in the Plastic Range”, Journal of Aeronautical Sciences (August 1957).
- 5.6(d)“Theoretical and Experimental Determination of the Bending Modulus of Rupture of Round Titanium Tubing”, Systems Engineering Report, Bendix Energy Controls Division, South Bend, Indiana, MS-58-3 (July 1958).