nargomech
Mechanical
- Nov 13, 2011
- 2
Hi,
I am amazed by the lack of formulas to calculate bending stresses of curved beams that are frequently used, this is, when the plane of loading and the plane of curvature is the same, but this is not a plane of symmetry for the section, being structural angles (with plane of bending and loading parallel to a leg) the most common case, and C channels bent the hard way a second common example. Even the classic Roark’s book (Formulas for Stress and Strain, by Young and Budynas, 7th Edition, Chapter 9), only includes symmetrical sections, and the same happens with twelve other books about mechanics of solids and strength of materials I have checked (including two by Timoshenko, but I haven’t found his Strength of Materials), and with Marks' Handbook for MEs. The only non-symmetrical sections I have found, are in a non-common book: Handbook of Formulas for Stress and Strain, by William Griffel, 1966 (Amazon and B&N sell this one for $195, when the new Roark is only $85). There, he says that he solved Timoshenko’s integral for 12 shapes, so I guess that Timoshenko doesn’t have the angle (which is the section I am looking for) either. Well, the four non-symmetrical sections he has are not common at all, they are all based on a 1/4 of circle, either solid or what remains from a square after cutting off that quarter circle (I could use this one to approximate the angle I have).
Would somebody have formulas for curved structural angles ? If you have it, please, don’t refer to another difficult-to-obtain book or journal paper, please scan those pages and upload them in this website (I guess that any publication would be so old, that the copyright is already expired, and people upload whole books all the time anyway). In exchange, I offer to do the same with some pages that somebody maybe interested in, just mention the topic, and I will do my best to find something.
I am amazed by the lack of formulas to calculate bending stresses of curved beams that are frequently used, this is, when the plane of loading and the plane of curvature is the same, but this is not a plane of symmetry for the section, being structural angles (with plane of bending and loading parallel to a leg) the most common case, and C channels bent the hard way a second common example. Even the classic Roark’s book (Formulas for Stress and Strain, by Young and Budynas, 7th Edition, Chapter 9), only includes symmetrical sections, and the same happens with twelve other books about mechanics of solids and strength of materials I have checked (including two by Timoshenko, but I haven’t found his Strength of Materials), and with Marks' Handbook for MEs. The only non-symmetrical sections I have found, are in a non-common book: Handbook of Formulas for Stress and Strain, by William Griffel, 1966 (Amazon and B&N sell this one for $195, when the new Roark is only $85). There, he says that he solved Timoshenko’s integral for 12 shapes, so I guess that Timoshenko doesn’t have the angle (which is the section I am looking for) either. Well, the four non-symmetrical sections he has are not common at all, they are all based on a 1/4 of circle, either solid or what remains from a square after cutting off that quarter circle (I could use this one to approximate the angle I have).
Would somebody have formulas for curved structural angles ? If you have it, please, don’t refer to another difficult-to-obtain book or journal paper, please scan those pages and upload them in this website (I guess that any publication would be so old, that the copyright is already expired, and people upload whole books all the time anyway). In exchange, I offer to do the same with some pages that somebody maybe interested in, just mention the topic, and I will do my best to find something.
