AIAA Design Engineers Guide P2

AIAA Design Engineers Guide Torsin Formlas - Solid and Tubular Sections - cont | 4-8 AIAA DESIGN ENGINEERS GUIDE STRUCTURAL ELEMENTS 4-9 Torsion Formulas Solid and Tubular Sections cont. Torsion Formulas Thin-Walled Open Sections cont. 3T t Maximum i 1 5 bt2 V b at midpoints of long sides 3T approximately for narrow rectangles bt2 b yífsu i - - 2 V 3b J h 3 I b 3 approximately for narrow rectangles For sides with thickness t1t average fs For sides with thickness t2 - 2 average fs Tu 2bd tminFsu 2t bd tmin ti or t2 whichever is smaller 2b2d2 b t fd t Thin-walled sections should be checked for buckling. 3B at S The torsion constant J is a measure of the stiffness of a member in pure twisting. The torsion-bending constant C5 is a measure of the resistance to rotation that arises because of restraint of warping of the cross section. Formulas for Cs are not given in this table because for these cross sections Cs is negligibly small in comparison to J. Torsion Formulas Thin-Walled Open Sections Nomenclature Position of Flexural Center Q for Different Sections A total area of section Af area of one flange Cs torsion-bending constant I moment of inertia of flange no. 1 about Y axis I2 moment of inertia of flange no. 2 about Y axis IY - moment of inertia of section about Y axis J torsion constant. rx radius of gyration of section about Y axis in. ry radius of gyration of section about X axis in. J 2bt dt2 Si. -J Sj -3 f 3 4-10 AIAA DESIGN ENGINEERS GUIDE Position of Flexural Center Q for Different Sections cont. 3 E 3 E 3 E 3 E 3 . E 3 E 3 E 3 E 3 E 3 E 3 E 3 E 3 E 3 E i E E 3 E 3 E E 3 E- 3 E 3 STRUCTURAL ELEMENTS 4-11 j Position of Flexural Center Q for Different Sections cont. STRUCTURAL ELEMENTS 4-13 4-12 AIAA DESIGN ENGINEERS GUIDE Position of Flexural Center Q for Different Sections cont. 6 fe E E 3 Shear-buckling Curves for Sheet Materials txKs A AMS 4901 Ti B 18-8 Type 301 C 7075 T6 ALC. D 7075 T6 ALC. 1 2 Hard E 2024 T81 ALC. F 2024 T81 ALC. G 6061 T6 H 2024 T3 ALC. I 2024 .

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