EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
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Chapter 8, Problem 74RP
For the post and loading shown, determine the principal stresses, principal planes, and maximum shearing stress at point H.
Fig. P8.74
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Three forces are applied to the cantilever beam shown. Determine the principal stresses and the maximum
shearing stress at point H.
4 in.
3 in.
2 kips
24 kips
Fig. P8.49
Answer
0.413 ksi, -0.0378 ksi; 0.225 ksi.
3 kips
Late
2 in.
15 in.
K
4 in.
T
5 in.
7 in.
6 in.
Chapter 8 Solutions
EBK MECHANICS OF MATERIALS
Ch. 8.2 - A W10 = 39 rolled-steel beam supports a load P as...Ch. 8.2 - Solve Prob. 8.1, assuming that P = 22.5 kips and a...Ch. 8.2 - An overhanging W920 449 rolled-steel beam...Ch. 8.2 - Solve Prob. 8.3, assuming that P = 850 kN and a =...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...
Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Prob. 12PCh. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Using the notation of Sec. 8.2 and neglecting the...Ch. 8.2 - The 4-kN force is parallel to the x axis, and the...Ch. 8.2 - The vertical force P1 and the horizontal force P2...Ch. 8.2 - The two 500-lb forces are vertical and the force P...Ch. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shafts ABC and DEF and the gears shown...Ch. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - The cantilever beam AB has a rectangular cross...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - Prob. 37PCh. 8.3 - Two forces are applied to the pipe AB as shown....Ch. 8.3 - Several forces are applied to the pipe assembly...Ch. 8.3 - The steel pile AB has a 100-mm outer diameter and...Ch. 8.3 - Three forces are applied to a 4-in.-diameter plate...Ch. 8.3 - The steel pipe AB has a 72-mm outer diameter and a...Ch. 8.3 - A 13-kN force is applied as shown to the...Ch. 8.3 - A vertical force P of magnitude 60 lb is applied...Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Prob. 46PCh. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Three forces are applied to the machine component...Ch. 8.3 - Prob. 52PCh. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Prob. 57PCh. 8.3 - Four forces are applied to a W8 28 rolled-steel...Ch. 8.3 - A force P is applied to a cantilever beam by means...Ch. 8.3 - Prob. 60PCh. 8.3 - A 5-kN force P is applied to a wire that is...Ch. 8.3 - Knowing that the structural tube shown has a...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8 - (a) Knowing that all = 24 ksi and all = 14.5 ksi,...Ch. 8 - Neglecting the effect of fillets and of stress...Ch. 8 - Knowing that rods BC and CD are of diameter 24 mm...Ch. 8 - The solid shaft AB rotates at 450 rpm and...Ch. 8 - A 6-kip force is applied to the machine element AB...Ch. 8 - A thin strap is wrapped around a solid rod of...Ch. 8 - A close-coiled spring is made of a circular wire...Ch. 8 - Forces are applied at points A and B of the solid...Ch. 8 - Knowing that the bracket AB has a uniform...Ch. 8 - For the post and loading shown, determine the...Ch. 8 - Knowing that the structural tube shown has a...Ch. 8 - The cantilever beam AB will be installed so that...
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- Problem #6. A state of plane stress is shown b.) Determine the maximum in plane shear stress, in ksi Y т 6,000 psi 8,000 psi 4,000 psiarrow_forwardProblem #7.5arrow_forwardProblem 4 The steel pipe AB has a 102-mam outer diameter and a 6-mm wall thickness. Knowing that arm CD is rigidly attached to the pipe, determine the principal stresses and the maximum shearing stress at point K. And then show stress on Mohr's circle. 200 mm 6 mm B H D 51 mm 150 mm xarrow_forward
- Problem #3 A block of steel with a rectangular cross-section of width 50 mm and height 100 mm is resting on an inclined plane at an angle of 30 degrees to the horizontal. Determine the normal stress and the shearing stress developed in the block if a force of 10 kN is applied to the block perpendicular to the horizontal plane.arrow_forwardProblem #6a A state of plane stress is shown a.) Determine the maximum principle stress, in ksi 6,000 psi 8,000 psi 4,000 psiarrow_forward1.4 kN - m PROBLEM 8.43 A 10-kN force and a 1.4-kN - m couple are applied at the top of the 65-mm diameter brass post shown. Determine the principal stresses and maximum shearing stress at (a) point H, (b) point K. 10 kN 240 mm Omax = 30.0 MPa O min =-30.0 MPa Tmax = 30.0 MPa Omax = 7.02 MPa Omin =-96.0 MPa Tmay =51.5 MPaarrow_forward
- 7.6666arrow_forward60 MPa PROBLEM 7.3 45 MPa For the given state of stress, determine the normal and shearing stresses exerted on the oblique face of the shaded triangular element shown. Use a method of 120 MPA analysis based on the equilibrium of that element, as was done in the 70° derivations of Sec. 7.2. O=14.19 MPa T = 15.19 MPaarrow_forwardPROBLEM 8.40 A thin strap is wrapped around a solid rod of radius c= 20 mm as shown. Knowing that I = 100 mm and F = 5 kN, determine the normal and shearing stresses at (a) point H, (b) point K. o = 79.6 MPa T=7.96 MPa O =0 T=13.26 MPaarrow_forward
- Please don't provide handwritten solution ....arrow_forwardMechanics of materialarrow_forwardA steel pipe of 400-mm outer diameter is fabricated from 10-mm thick plate by welding along a helix that forms an angle of 20° with a plane perpendicular to the axis of the pipe. Knowing that a 280-kN axial force P is applied to the pipe, determine the normal and shearing stresses in directions respectively normal and tangential to the weld. (Input the answer with the appropriate sign.)arrow_forward
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