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 28P
Two identical linkage-and-hydraulic-cylinder systems control the position of the forks of a fork-lift truck. The load supported by the one system shown is 1500 lb. Knowing that the thickness of member BD is
Fig. P1.28
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TWO IDENTICAL LINKAGE-AND-HYDRAULIC-CYLINDER SYSTEMS CONTROL THE
POSITION OF THE FORKS OF A FORK-LIFT TRUCK. THE LOAD SUPPORTED BY
THEONE SYSTEM SHOWN IS 6750 N.
KNOWING THAT THE THICKNESS OF MEMBER BD IS 16 MM, DETERMINE (A)
THE AVERAGE SHEARING STRESS IN 13 MM DIAMETER PIN AT B,
(B) THE BEARING STRESS AT B IN MEMBER BD.
300 mm
300 mm
6.750 N
375 mm
400 mm 400 mm 500 mm
B1
Two links BF are made of steel with a 450-MPa ultimate normal stress and has a 6x12–mm uniform rectangular cross section. Links BF are connected to members ABD and CDEF by 8-mm diameter pins; ABD and CDEF are connected together by a 10-mm diameter pin; CDEF is connected to the support by a 10-mm diameter pin; all of the pins are made of steel with a 170 MPa ultimate shearing stress. Knowing that a factor of safety of 3 is desired, determine the largest load P that may be applied
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 1.53 plzarrow_forwardIn 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_forwardIn 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 ultimate 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 2.6 is desired.arrow_forward
- а) 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. - 22 mm Figure 4arrow_forward1.26 part A thanksarrow_forwardAn 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_forward
- 19. knowing that a force P of magnitude 75 N is applied to the pedestal shown, determine (a) the diameter of the pin at C for which the average shearing stress in the pin is 40 MPa, (b) the corresponding bearing stress in the pedestal at C, (c) the corresponding bearing stress in each support bracket at C. 75 mm 9 mm - 300 mm- B 125 mm D 5 mmarrow_forwardThe hydraulic cylinder CF, which partially controls the position of rod DE, has been locked in the position shown. Member BD is 5/8 in.thick and is connected to the vertical rod by a 3/8-in.-diameter bolt.Determine (a) the average shearing stress in the bolt, (b) the bearing stress at C in member BD.arrow_forwardTHE FRAME SHOWN CONSISTS OF FOUR WOODEN MEMBERS, ABC, DEF,BE, AND CF. KNOWING THAT EACH MEMBER HAS A 50X100MM RECTANGULAR CROSS SECTION AND THAT EACH PIN HAS A 13 MM DIAMETER, DETERMINE THE MAXIMUM VALUE OF THE AVERAGE NORMAL STRESS (A) INMEMBER BE, (B) IN MEMBER CF. 1.125 mm 750 mm V2.160 N 100 mm 100 mm 1.000 mm 375 mm 750 mmarrow_forward
- Link AC is made of a steel with a 65-ksi ultimate normal stress and has a xin. uniform rectangular cross section. It is connected to a support at A and to member BCD at C by-in.-diameter pins, while member BCD is connected to its support at B by a -in.-diameter pin. All of the pins are made of a steel with a 25-ksi ultimate shearing stress and are in single shear. Knowing that a factor of safety of 3.75 is desired, determine the largest load P that can be applied at D. Note that link AC is not reinforced around the pin holes. 16 IN 8 in 16. ---4 in- The largest load P that can be applied at Dis[ lb.arrow_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_forward15. In the steel structure shown, a 6-mm-diamter pin is used at C and 10-mm-diameter pins are used at B and D. The ultimate shearing stress is 150 MPa at all connections, and the ultimate normal stress is 400 MPa in link BD. Knowing that a factor of safety is 3.0 is desired, determine the largest load P that can be applied at A. Note that link BD is not reinforced around the pin holes. Front view 18 mm 6 mm 120 mm- Side view 160 mm Top viewarrow_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