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HW9 - .1 through 7.4 For the given state of stresS...

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Unformatted text preview: ?.1 through 7.4 For the given state of stresS, determine the normal and g stresses exerted on the oblique face of the shaded triangular element .. Use a method of analysis based on the equilibrium of that element, as ne in the derivations of Sec. 7.2. I“ itsi fill M Pal 45 M 1’" 27 M I’:l E20 M Pa 15 ksi .. and P19 Fig. Pits and P110 through 7.12 For the given state of stress, determine ( of the planes of maximum in—plane shearing stress, (I?) ' normal stress. Fig. P7.7 and P7.11 a) the ori— lhe cone- "5‘ through 7.16 For the given state of stress, determine the normal g stresses after the element shovvn has been rotated through (a) 25° (5) 10° counterclockwise. 90 M l’a 30 M' Pa "29'- [ so MPa SOMPa Fig. P7.14 Fig. P7.15 7.22 Two wooden members of 80 X 120~mm uniform rectangu] if: section are joined by the simple glued scarf splice shown. Knowing that. and that the maximum allowable stresses in the joint are, respectively, in tension (perpendicular to the splice) and 600 kPa in shear (parall__ splice), determine the largest centric load P that can be applied. Fig. P721 and P122 7.34 7.35 7.36 7.37 7.38 7.39 7.40 7.41 7.42 7.43 7.44 7.45 "A“ 'nl.- m. 7.33 Solve Prob. 7.11, using Mohr’s Solve Prob Solve Prob Solve Prob Solve Prob Solve Prob Solve Prob Solve Prob Solve Prob Solve Prob Solve Prob Solve Prob Solve Prob 4-. . .— . 7.12, using Mohr’s circle. . 7.13, using Mohr’s circle. . 7.14, using Mohr’s circle. . 7.15, using Mohr’s circle. . 7.16, using Mohr’s circle. . 7.17, using Mohr’s circle. . 7.18, using Mohr’s circle. . 7.19, using Mohr’s circle. . 7.20, using Mohr’s circle. . 7.21, using Mohr’s circle. . 7.22, using Mohr’s circle. . 7.23, using Mohr’s circle. (J ___ circle. plied at point D of the cast-iron post shown. - g the} the post has a diameter of 60 mm, determine the principal stresses e maximum shearing stress at point K. The state of plane stress shown occms in a machine component .;.-)" a steel with 0'}! = 36 ksi. UsingI the maximum—distortion—energy cri- etermine whether yield occurs when (a) T“. = 15 ksi, (b) T“. = 18 ksi, _. 21 ksi. If yield does not occur, determine the corresponding factor of Fig. P733 7.87 The 36«1n1n—diameter shaft is made of a grade of steel wi is. Ml3a tensrle yield stress. Using the maximum-shc-aring-stress criteria mrne the magnitude of the torque T for which yield Occurs when P = Fig. P287 7.38 Solve Prob. 7.87, using the maximum-distortion-energy iii: ::ri:.-1s 200 psi, determine (a) the normal stress perpendicular to the weld, caring stress parallel to the weld. i13 The pressurized tank shown was fabricated by welding strips of :‘ldl’lg a helix forming an angle 6 with a transverse plane. Determine the 2-:- . ue of B that can be used if the normal stress perpendicular to the )3 be larger than 85 percent of the maximum stress in the tank. Fig. P1112 and P1113 ...
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