Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 8, Problem 76RP
The cantilever beam AB will be installed so that the 60-mm side forms an angle b between 0 and 90° with the vertical. Knowing that the 600-N vertical force is applied at the center of the free end of the beam, determine the normal stress at point a when (a) β = 0, (b) β = 90°. (c) Also, determine the value of β for which the normal stress at point a is a maximum and the corresponding value of that stress.
Fig. P8.76
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Chapter 8 Solutions
Mechanics of Materials, 7th Edition
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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- The couple M is applied to a beam of the cross section shown in a plane forming an angle b with the vertical. Determine the stress at (a) point A, (b) point B, (c) point D. Determine the neutral axes.arrow_forwardKnowing that the clamp shown has been tightened until P= 400 N, determine (a) the stress at point A, (b) the stress at point B, (c) the location of the neutral axis of section a-a.arrow_forwardQ1 The curved portion of the bar shown has an inner radius of 20 mm. Knowing that the allowable stress in the bar is 150 MPa, determine the largest permissible distance (a) from the line of action of the 3-kN force to the vertical plane containing the center of curvature of the bar. r = 20 mm. tha |P = 3 KN 25 mm 25 mm So toarrow_forward
- A cast-iron machine part is acted upon by the 3 kN-m couple shown. Know-ing that E= 165 GPa and neglecting the effect of fillets, determine (a) the maximum tensile and compressive stresses in the casting and (b) the radius of curvature of the castingarrow_forwardThe cantilever beam AB will be installed so that the 60-mm side forms an angle β between 0 and 90° with the vertical. The 660-N vertical force P is applied at the center of the free end of the beam. Determine the value of β for which the normal stress at point a is a maximum and the corresponding value of that stress. (Round the final answer to two decimal places.)arrow_forwardDetermine the stress at points A and B, (a) for the loading shown, (b) if the 60-kN loads are applied at points 1 and 2 only.arrow_forward
- The four forces shown are applied to a rigid plate supported by a solid steel post of radius a. Knowing that P= 24 kips and a= 1.6 in., determine the maximum stress in the post when (a) the force at D is removed, (b) the forces at C and D are removedarrow_forwardKnowing that the maximum allowable stress is 41 MPa, determine the magnitude of the largest moment M that can be applied to the component shown. The magnitude of the largest moment M that can be applied to the component is kN·m.arrow_forwardThe centric force P is applied to a short post as shown. Knowing that the stresses on plane a–a are σ=215 ksi and τ= 5 ksi, determine (a) the angle β that plane a–a forms with the horizontal, (b) the maxi-mum compressive stress in the postarrow_forward
- Q2 The assembly consists of two sections of cast-iron rod connected together using a reducing coupling at B. The smaller rod has a length of 12 in. and a diameter of 0.75 in., whereas the larger rod has a length of 15 in. and a diameter of I in. If the rod is tightly secured to the wall at C and the couple shown is applied to the handles of the wrench, determine: (1) The maximum shear stress developed in each section of the rod. (2) Sketch the shear stress on volume elements for each section of the rod. (3) The angle of twist of point A relative to point C. Use G = 5.5 (10) ksi, 20 lb 20 barrow_forwardFor the loading shown, determine (a) the stress at points A and B, (b) the point where the neutral axis intersects line ABD.arrow_forwardA rod must not stretch more than 6 mm when the tension in the wire is 8 kN. Knowing that E = 105 GPa and that the maximum allowable normal stress is 150 MPa, determine the smallest diameter (mm) rod that should be used.arrow_forward
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