EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220102804487
Author: BEER
Publisher: YUZU
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Textbook Question
Chapter 1.2, Problem 8P
Link AC has a uniform rectangular cross section 18 in. thick and
Fig. P1.8
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6. Link BD consists of a single bar 30 mm wide and 12 mm thick. Knowing that each pin has
a 10 mm diameter, determine the maximum value of the average normal stress in link BD
if (a) 0 = 0°, (b) 0 = 90°.
150 m
00 mm
5B Page 2 of 3
The member having a rectangular cross-section, Fig. a, is designed to resist a moment of 40 N # m. In order to increase its strength and rigidity, it is proposed that two small ribs be added at its bottom, Fig. b. Determine the maximum normal stress in the member for both cases.
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4
Required information
Two horizontal 5.5-kip forces (P) are applied to pin B of the assembly shown. A 0.8-in. diameter pin is used at each
connection.
Part 2 of 2
0.5 in.
1.8 in.
P
0.5 in.
60°
1.8 in.
Determine the maximum value of the normal average stress at the midpoint of link BC.
The maximum value of the normal average stress at the midpoint of link BC is
ksi.
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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- 5. 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_forwardThe 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_forward1. Determine the required thickness of member BC and the diameter of the pins at A and B if the allowable normal stress for member BC is Oallow = 35 ksi and the allowable shear stress for the pins is Tallow = 15 ksi. 2 in. 65° 10 ft 5 kip/ftarrow_forward
- THE 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_forwardA vertical force P = 15 kip is applied at point C located on the axis of symmetry of the cross-section of a short column. Given that y = 4.8 in, determine: a. The stress at points A and B b. The location of the neutral axis Note that point C where the force is applied is not the centroid of the cross sectionarrow_forwardThe couple M is applied to a beam of the cross section shown in a plane forming an angle β with the vertical. Determine the stress at (a) point A, (b) point B, (c) point D.arrow_forward
- 1 5.0 in. 3.0 in. The 1.4-kip load P is supported by two wooden members of uniform cross section that are joined by the simple glued scarf splice shown. Determine the normal and shearing stresses in the glued splice. 60 P'arrow_forwardQue 5.6. A crane hook trapezoidal horizontal cross-section is 50 mm wide inside and 30 mm wide outside. Thickness of the section is 60 mm. The crane hook carries a vertical load of 20 kN whose line of action is 50 mm from the inside edge of the section. The center of curvature is 60 mm from the inside edge. Determine the maximum tensile and compressive stresses in the section.arrow_forwardA chain link with a circular cross section of diameter d = 12 mm is subjected to the forces exerted by neighboring links, as illustrated below. Determine: 1) the maximum tensile stress and maximum compressive stress acting on cross section AA'. 2) the distance between the neutral axis and the centroid of cross section AA'. 4800 N 800 N - AA'arrow_forward
- Each of the four vertical Ilinks has an 8 x 36-mm uniform rectangular cross section and each of the four pins has a 16-mm diameter. Take P= 19 kN. 0.4 m C 0.25 m 0.2 m B. P Determine the average bearing stress at Bin member ABC, knowing that this member has a 10 x 50-mm uniform rectangular cross section. MPa. The average bearing stress at Bin member ABC is.arrow_forward2. Knowing that link DE is 1/8 in. thick and 1 in. wide, determine the normal stress in the central portion of that link when (a) 0–0°, (b) 0=90°. 12 in. 2 in. 8 in. 60 lbarrow_forwardThe couple M acts in a vertical plane and is applied to a beam oriented as shown. Determine (a) the angle that the neutral axis forms with the horizontal plane, (b) the maximum tensile stress in the beamarrow_forward
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