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 1.2, Problem 17P
When the force P reached 1600 lb, the wooden specimen shown failed in shear along the surface indicated by the dashed line. Determine the average shearing stress along that surface at the time of failure.
Fig. P1.17
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1.3 (A). Define the terms shear stress and shear strain, illustrating your answer by means
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Ans: [27.6, 19.5, 19.5, 13.8mm.]
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A rectangular block of a material with a modulus of rigidity G= 90 ksi is bonded to two rigid horizontal plates. The lower plate is fixed, while the upper plate is subjected to a horizontal force P . Knowing that the upper plate moves through 0.04 in. under the action of the force, determine (a) the average shearing strain in the material and (b) the force Pexerted on the upper plate.
Chapter 1 Solutions
Mechanics of Materials, 7th Edition
Ch. 1.2 - Two solid cylindrical rods AB and BC are welded...Ch. 1.2 - Two solid cylindrical rods AB and BC are welded...Ch. 1.2 - Two solid cylindrical rods AB and BC are welded...Ch. 1.2 - Two solid cylindrical rods AB and BC are welded...Ch. 1.2 - A strain gage located at C on the surface of bone...Ch. 1.2 - Two brass rods AB and BC, each of uniform...Ch. 1.2 - Each of the four vertical links has an 8 36-mm...Ch. 1.2 - Link AC has a uniform rectangular cross section 18...Ch. 1.2 - Three forces, each of magnitude P = 4 kN, are...Ch. 1.2 - Link BD consists of a single bar 1 in. wide and 12...
Ch. 1.2 - For the Pratt bridge truss and loading shown,...Ch. 1.2 - The frame shown consists of four wooden members,...Ch. 1.2 - An aircraft tow bar is positioned by means of a...Ch. 1.2 - Two hydraulic cylinders are used to control the...Ch. 1.2 - Determine the diameter of the largest circular...Ch. 1.2 - Two wooden planks, each 12 in. thick and 9 in....Ch. 1.2 - When the force P reached 1600 lb, the wooden...Ch. 1.2 - A load P is applied to a steel rod supported as...Ch. 1.2 - The axial force in the column supporting the...Ch. 1.2 - Three wooden planks are fastened together by a...Ch. 1.2 - A 40-kN axial load is applied to a short wooden...Ch. 1.2 - An axial load P is supported by a short W8 40...Ch. 1.2 - Link AB, of width b = 2 in. and thickness t=14...Ch. 1.2 - Determine the largest load P that can be applied...Ch. 1.2 - Knowing that = 40 and P = 9 kN, determine (a) the...Ch. 1.2 - The hydraulic cylinder CF, which partially...Ch. 1.2 - For the assembly and loading of Prob. 1.7,...Ch. 1.2 - Two identical linkage-and-hydraulic-cylinder...Ch. 1.5 - Two wooden members of uniform rectangular cross...Ch. 1.5 - Two wooden members of uniform rectangular cross...Ch. 1.5 - The 1.4-kip load P is supported by two wooden...Ch. 1.5 - Two wooden members of uniform cross section are...Ch. 1.5 - A centric load P is applied to the granite block...Ch. 1.5 - A 240-kip load P is applied to the granite block...Ch. 1.5 - A steel pipe of 400-mm outer diameter is...Ch. 1.5 - A steel pipe of 400-mm outer diameter is...Ch. 1.5 - A steel loop ABCD of length 5 ft and of 38-in....Ch. 1.5 - Link BC is 6 mm thick, has a width w = 25 mm, and...Ch. 1.5 - Link BC is 6 mm thick and is made of a steel with...Ch. 1.5 - Members AB and BC of the truss shown are made of...Ch. 1.5 - Members AB and BC of the truss shown are made of...Ch. 1.5 - Link AB is to be made of a steel for which the...Ch. 1.5 - Two wooden members are joined by plywood splice...Ch. 1.5 - For the joint and loading of Prob. 1.43, determine...Ch. 1.5 - Three 34-in.-diameter steel bolts are to be used...Ch. 1.5 - Three steel bolts are to be used to attach the...Ch. 1.5 - A load P is supported as shown by a steel pin that...Ch. 1.5 - A load P is supported as shown by a steel pin that...Ch. 1.5 - A steel plate 14 in. thick is embedded in a...Ch. 1.5 - Determine the factor of safety for the cable...Ch. 1.5 - Link AC is made of a steel with a 65-ksi ultimate...Ch. 1.5 - Solve Prob. 1.51, assuming that the structure has...Ch. 1.5 - Each of the two vertical links CF connecting the...Ch. 1.5 - Solve Prob. 1.53, assuming that the pins at C and...Ch. 1.5 - In the structure shown, an 8-mm-diameter pin is...Ch. 1.5 - In an alternative design for the structure of...Ch. 1.5 - Prob. 57PCh. 1.5 - The Load and Resistance Factor Design method is to...Ch. 1 - In the marine crane shown, link CD is known to...Ch. 1 - Two horizontal 5-kip forces are applied to pin B...Ch. 1 - For the assembly and loading of Prob. 1.60,...Ch. 1 - Two steel plates are to be held together by means...Ch. 1 - A couple M of magnitude 1500 N m is applied to...Ch. 1 - Knowing that link DE is 18 in. thick and 1 in....Ch. 1 - A 58-in.-diameter steel rod AB is fitted to a...Ch. 1 - In the steel structure shown, a 6-mm-diameter pin...Ch. 1 - Prob. 67RPCh. 1 - A force P is applied as shown to a steel...Ch. 1 - The two portions of member AB are glued together...Ch. 1 - The two portions of member AB are glued together...
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- Only 1.35 plzarrow_forward140 mm 140 mm Fig. P1.33 and P1.34 1.34 A 1060-kN load P is applied to the granite block shown. Deter- mine the resulting maximum value of (a) the normal stress. () the shearing stress. Specily the orientation of that plane on which each of these maximum values occurs.arrow_forwardMechanics of deformable bodiesarrow_forward
- In the hanger shown the upper portion of link ABC is 9-mm thick and the lower portions are each 6-mm thick. Epoxy resin is used to bond the upper and lower portions together at B. The pin at A is of 9-mm diameter while a 6-mm-diameter pin is used at C. Determine (a) the shearing stress in pin A. (b) the shearing stress in pin C, (c) the largest normal stress in link ABC, (d) the average shearing stress on the bonded surfaces at B, (e) the bearing stress in the link at C. 30 mm 150 mm 40 mm 170 mm 240 mm 2400 N 120 marrow_forward4) A metal plate has an area of face is 1 m x 1 m and thickness of 1cm.One face of a larger area is fixed and a tangential force is applied to the opposite face. The displacement of the edge produced thereby is 0.005 cm.Modulus of rigidity of metal is 8.4 x 10" n/m? Determine (a) The stress (b) The strain (c) Shearing force(U)arrow_forwardNonearrow_forward
- SECTION B(1) Question 1 The bell crank CBA is connected to a pin support B in double shear with 8-mm diameter pin B and to the 10-mm diameter rod CD. Knowing that the ultimate shearing stress is 110 MPa for the steel used in pin B and the ultimate normal stress is 230 MPa for the steel used in rod CD. Determine the maximum vertical force P that can be applied if an overall factor of safety of 1.5 is desired. 45% 300 mm B Figure 1 -450 mm-arrow_forwardA centric load P is applied to the granite block shown. Knowing that the resulting maximum value of the shearing stress in the block is 2.5 ksi, determine (a) the magnitude of P, (b) the orientation of the surface on which the maximum shearing stress occurs, (c) the normal stress exerted on the surface, (d) the maximum value of the normal stress in the block.arrow_forward5. A load of 7,000 N acts on the machine part shown in Fig. 5a. The machine part has a uniform thickness of 15 mm (i.e., 15-mm thickness in the z direction). Determine the normal and shear stresses acting at points H and K, which are shown in detail in Fig. 5b. For eachpoint, show these stresses on a stress element. Fig. 5a Fig. 5b 2.5 in. 400 mm 5.2kN-m 20 KN 7.5KN 2.0 inarrow_forward
- 1.3 Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. Two circular bars, one of brass and the other of steel, are to be loaded by a shear load of 30 kN. Determine the necessary diameter of the bars (a) in single shear, (b) in double shear, if the shear stress in the two materials must not exceed 50 MN/m? and 100 MN/m? respectively. [27.6, 19.5, 19.5, 13.8 mm]arrow_forwardTwo blocks of wood 50mm wide and 20mm thick are glued together. a. Using the free body diagram concept, determine the shear load and from it the shearing stress in the glued joint if P = 6000 N. b. Generalize the procedure of part (a) to show that the shearing stress on a plane Psin 20 inclined at an angle 0 to a transverse section of area is Ss = 24 20mm P = 6000 N 60° P = 6000 N wwosarrow_forwardRead carefully please and solve thisarrow_forward
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