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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Chapter 1.2, Problem 16P
Two wooden planks, each
Fig. P1.16
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Two wooden planks, each 1212 in. thick and 9 in. wide, are joined by the dry mortise joint shown. Knowing that the wood used shears off along its grain when the average shearing stress reaches 1.8 ksi, determine the magnitude P of the axial load that will cause the joint to fail.
The magnitude P of the axial load that will cause the joint to fail is kips.
125 mm
75 mm
1,32
Two wooden members of uniform cross section are joined by the
simple scarf splice shown. Knowing that the maximum allowable
tensile stress in the glued splice is 500 kPa, determine (a) the
largest load P that can be safely supported, (b) the corresponding
shearing stress in the splice.
60"
P'
P1.32
.29 Two wooden members of uniform rectangular cross section
are joined by the simple glued scarf splice shown. Knowing that
P= 11 kN, determine the normal and shearing stresses in the
glued splice.
150 mm
15
75 mm
Fig. P1.29 and P1.30
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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- Two portions of member AB are glued together along a plane forming an angle θ with the horizontal. Knowing that the ultimate stress for the glued joint is 2.55 ksi in tension and 1.35 ksi in shear, determine the range of values of θ for which the factor of safety of the members is at least 3.0.arrow_forwardTwo wooden members of uniform rectangular cross section are joined by the simple glued scarf splice shown. Knowing that the maximum allowable shearing stress in the glued splice is 620 kPa, determine (a) the largest load P that can be safely applied, (b) the corresponding tensile stress in the splice.arrow_forward1.55 In the structure shown, an 8-mm-diameter pin is used at A, and 12-mm-diameter pins are used at B and D. Knowing that the ulti- mate shearing stress is 100 MPa at all connections and that the ultimate normal stress is 250 MPa in each of the two links joining B and D, determine the allowable load P if an overall factor of safety of 3.0 is desired. Тоp view 200 mm +180 mm - 12 mm 8 mm A В C A 20 mm P 8 mm 8 mm - DO 12 mm - Front view Side view Fig. P1.55arrow_forward
- An annular washer distributes the load P applied to a steel rod to a timber support. The rod's diameter is 22 mm, and the washer's inner diameter is 25 mm, which is larger than the hole's permissible outer diameter. Knowing that the axial normal stress in the steel rod is 35 MPa and the average bearing stress between the washer and the timber must not exceed 5 MPa, examine the smallest allowed outer diameter, d, of the washer. %3D %3D +22 mm P Figure 4arrow_forward1.26 part A thanksarrow_forwardTwo portions of member AB are glued together along a plane forming an angle with the horizontal. The ultimate stress for the glued joint is 3.3 ksi in tension and 2.2 ksi in shear. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 2.0 in. B 2.4 kips 1.25 in. Determine the value of 0 for which the factor of safety of the member is maximum. (Hint: Equate the expressions obtained for the factors of safety with respect to the normal and shearing stresses.)arrow_forward
- 2 5.0 3.0 in. Two wooden members of uniform cross section are joined by the simple scarf splice shown. Knowing that the maximum allowable tensile stress in the glued splice is 75 psi, determine (a) the largest load P that can be safely supported, (b) the corresponding shearing stress in the splice. 60° P'arrow_forward1.35 A 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 300-kN axial force P is applied to the pipe, determine the nor- mal and shearing stresses in directions respectively normal and tangential to the weld. 10 mm Weld -20° Fig. P1.35 and P1.36arrow_forward3. Two wooden planks, each 7/8 in thick and 6in wide, are joined by the glued mortise joint shown. Knowing that the wood used shears off along its grain when the average shearing stress reaches 120psi, determine the smallest allowable length d of the cuts if the joint is to withstand an axial load of magnitude P=1200-lb. Note: Seven surfaces carry the load, P=1200-lb Glue - in. 6 in. in.arrow_forward
- Two wooden boards, measuring 15 mm thick and 225 mm wide, are joined by the socket joint shown. Knowing that the wood employed will break when the average shear stress reaches 10 MPa, determine the intensity P of the axial force that will break the joint.arrow_forwardTwo wooden planks, each 7/8 in thick and 6in wide, are joined by the glued mortise joint shown. Knowing that the wood used shears off along its grain when the average shearing stress reaches 120psi, determine the smallest allowable length d of the cuts if the joint is to withstand an axial load of magnitude P=1200-lb. Note: Seven surfaces carry the load, P=1200-lbarrow_forward1. A circular piece of wood, 90mm in diameter, is used as a compression block. Determine the axial force F that can be safely applied to the block if the compressive stress in wood is limited to 20MPA and the shearing stress parallel to the grain is limited to 5MPA. The grain makes an angle of 15° with the vertical.arrow_forward
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EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY