EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
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Chapter 1.5, Problem 45P
Three
Fig. P1.45 and P1.46
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1,45 Three 18 mm diameter steel bolts are to be used to attach the
steel plate shown to a wooden beam. Knowing that the plate will
support a 1100 AN load and that the ultimate shearing stress for
the steel used is 360 MPa, determine the factor of safety for this
design.
Fig. P1.45 and P1.46
1.16 Two wooden planks, each 12 mm thick and 225 mm 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 8 MPa, determine the magnitude P of the axial load that
will cause the joint to fail.
16 mm
16 mm
25 mm
50 mm
Pl
P'
50 mm
25 mm
295 mm
Fig. P1.16
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 4
Chapter 1 Solutions
EBK MECHANICS OF MATERIALS
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_forward13 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that the average normal stress must not exceed 175 MPa in rod AB and 150 MPa in rod BC, determine the smallest allowable values of d and d 300 mm 40 kN 250 mm 30 kN Fig. P1.3 and P1.4arrow_forward250 mm 400 mm 1.53 Each of the two vertical links CF connecting the two horizontal members AD and EG has a 10 x 40-mm uniform rectangular cross section and is made of a steel with an ultimate strength in tension of 400 MPa, while each of the pins at C and F has a 20-mm diameter and are made of a steel with an ultimate strength in shear of 150 MPa. Determine the overall factor of safety for the links CF and the pins connecting them to the horizontal members. A 250 mm D E F 24 kNarrow_forward
- .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 P1.30arrow_forward5. The load P applied to a steel rod is distributed to a timber support by an annular washer. The diameter of the rod is 22 mm and the inner diameter of the washer is 25 mm, which is slightly larger than the diameter of the hole. Determine the smallest allowable outer diameter d of the washer, 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. - 22 mmarrow_forwardA 6.87-m-long steel rod must not stretch more than 2.5 mm and the normal stress must not exceed 181 MPa when the rod is subjected to a 9.54-kNaxial load. Knowing that E = 198.3 GPa, determine the required radius of the rod in mm.arrow_forward
- 2. The assembly shown below is subjected to the load P applied at 30°. The cylindrical pins at A, B, C, D, and E are identical and made of the same material whose allowable shear stress Tallow = 40.0 MPa and has a diameter of d = 3.0 mm. Determine the maximum load P that can be applied. 1 m 1 m P C 30 B. 45° 3 marrow_forwardTwo gage marks are placed exactly 250mm apart on a 12mm-diameter aluminum rod with E=73Gpa and an ultimate strength of 140Mpa. Knowing that the distance between the gage marks is 250.28mm after a load is applied, determine (a) the stress in the rod, (b) the factor of safety.arrow_forwardTwo 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 appliedarrow_forward
- A 5.3-m-long steel rod must not stretch more than 2.71 mm and the normal stress must not exceed 181 MPa when the rod is subjected to a 9.99-kNaxial load. Knowing that E = 199.3 GPa, determine the required radius of the rod in mm. Express your answer in four decimal places.arrow_forward1.55 In the structure shown, an 8-mm-diameter pin is used at A, and 12-mm-diameter pins are used at Band 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. Top siew 12 20 12 mm Front view Side view Fig. P1.55arrow_forward125 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' P1.32arrow_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