4. A central horizontal section of a hook is symmetrical trapezium 90 mm deep. The inner width being 90 mm and outer being 45 mm. The hook carries a load of 67.5 kN, the load line passes at a distance of 40 mm from the inside edge of the section. The centre of curvature is in the load line. Calculate the extreme intensities of stress. Also plot the stress distribution across the section. [Ans. (0,), = 53.15 N/mm² (comp) and (o), = 106.5 N/mm² (tensile)} uidth

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.5.11P: -11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0...
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4. A central horizontal section of a hook is symmetrical trapezium 90 mm deep. The inner width
being 90 mm and outer being 45 mm. The hook carries a load of 67.5 kN, the load line passes at
a distance of 40 mm from the inside edge of the section, The centre of curvature is in the load
line. Calculate the extreme intensities of stress. Also plot the stress distribution across the section.
[Ans. (0,), = 53.15 N/mm? (comp) and (o), = 106.5 N/mm2 (tensile)}
5. A central horizontał section of a hook is a symmetrical trapezium of inner width = 67.5 mm and
of outer width = 22.5 mm. The depth of the section is 90 mm. The hook carries a load of 37.5 kN.
The load line passes through the centre of curvature. The radius of the hook is 52.5 mm. Deter-
mine the maximum compressive and tensile stresses in the section of the hook.
LAns ) 83 70 MN/m2 (tensile) and ü) 43 2 MN/m2 (compil
Transcribed Image Text:4. A central horizontal section of a hook is symmetrical trapezium 90 mm deep. The inner width being 90 mm and outer being 45 mm. The hook carries a load of 67.5 kN, the load line passes at a distance of 40 mm from the inside edge of the section, The centre of curvature is in the load line. Calculate the extreme intensities of stress. Also plot the stress distribution across the section. [Ans. (0,), = 53.15 N/mm? (comp) and (o), = 106.5 N/mm2 (tensile)} 5. A central horizontał section of a hook is a symmetrical trapezium of inner width = 67.5 mm and of outer width = 22.5 mm. The depth of the section is 90 mm. The hook carries a load of 37.5 kN. The load line passes through the centre of curvature. The radius of the hook is 52.5 mm. Deter- mine the maximum compressive and tensile stresses in the section of the hook. LAns ) 83 70 MN/m2 (tensile) and ü) 43 2 MN/m2 (compil
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