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Assignment7 - the shear flow from static equivalence of the...

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1. Problem 5.3. For the section of Figure 5.30 you may want to check that for V z =1000 N you obtain a maximum shear flow of 1.5N/mm and total force of 50N on the top right web, and a maximum shear flow of 4.5N/mm and total force of 300N on each of the horizontal webs, and a maximum shear flow of 6N/mm and total force of 1100N on the left web. This yields the shear center at 70mm left of the left web. For the section of Figure 5.32, check that you get a shear flow of V z /h in the circular part. Also note that to calculate the torque due to shear force in curved open section, you use the enclosed area, see Section 5.2, and in particular Eq. 5.12. 2. Problem 5.5. Note that this IS a statically determinate problem, so you can find
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Unformatted text preview: the shear flow from static equivalence of the shear flow and shear forces. Answers: The shear flow in the circular segment is 209N/cm clockwise, and in the straight members 41 N/cm counter clockwise. The twist angle is 10-7 counterclockwise. 3. Problem 5.8. Hints: This is an asymmetric cross section and so you will need to calculate the centroid and three moments of inertia. To find the y position of the shear center you apply a V z alone, and to find the z position you apply a V y alone. Using point 2 as the origin: Centroid: (32cm, 16cm). Shear center wrt centroid: (-20.48cm, -27.52cm or shear center wrt point 2: ( 11.52cm, -11.52cm)...
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