EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 9780100257061
Author: BEER
Publisher: YUZU
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Chapter 1, Problem 64RP
Knowing that link DE is
Fig. P1.64
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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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- The 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_forwardA rod must not stretch more than 6 mm when the tension in the wire is 8 kN. Knowing that E = 105 GPa and that the maximum allowable normal stress is 150 MPa, determine the smallest diameter (mm) rod that should be used.arrow_forwardQ1 The curved portion of the bar shown has an inner radius of 20 mm. Knowing that the allowable stress in the bar is 150 MPa, determine the largest permissible distance (a) from the line of action of the 3-kN force to the vertical plane containing the center of curvature of the bar. r = 20 mm. tha |P = 3 KN 25 mm 25 mm So toarrow_forward
- 1.14 Two hydraulic cylinders are used to control the position of the robotic arm ABC. Knowing that the control rods attached at A and D each have a 20-mm diameter and happen to be parallel in the position shown, determine the average normal stress in (a) member AE, (b) member DG. 400 mm E - 300 mm- A Fig. P1.14 F G 150 mm 150 mm 200 mm B D 600 mm- 800 N Carrow_forwardLink 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) θ =0°(b) θ =90°.arrow_forwardKnowing that, for the plate shown, the allowable stress is 125 MPa, determine the maximum allowable value of P when (a) r=12 mm, (b) r= 18 mmarrow_forward
- PROBLEM 1.2 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that d = 50 mm and dz = 30 mm, find the average normal stress at the midsection of (a) rod AB, (b) rod BC. 300 mm 40 kN 250 mm V30 KNarrow_forward2.36 A 250-mm bar of 150 x 30-mm rectangular cross section consists of two aluminum layers, 5 mm thick, brazed to a center brass layer of the same thickness. If it is subjected to centric forces of magni- tude P = 30 kN, and knowing that E, = 70 GPa and E, = 105 GPa, determine the normal stress (a) in the aluminum layers, (b) in the brass layer. P' 250 mm 5 mm 5 mm 5 mm Aluminum Brass Aluminum P 30 mm Fig. P2.36arrow_forwardPROBLEM 1.3 3 in. 30 kips Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Determine the magnitude of the force P for which the tensile stress in rod AB is twice the magnitude of the compressive stress in rod BC. 30 kips 40 in PROBLEM 1.4 In Prob. 1.3, knowing that P = 40 kips, determine the average normal stress at the midsection of (a) rod AB, (b) rod BC.arrow_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_forward12 mm PROBLEM 1.9 Two horizontal 22 kN forces are applied to pin B of the assembly shown. Knowing that a pin of 20 45 mm 22 kN mm diameter is used at each connection, determine the maximum value of the 22 kN 12 mm A 60° average normal stress (a) in link AB (i.e. at A), and (b) in link BC (i.e. at section a-a). 45 mm 45° a a [Ans. (a) 107.3 MPa (b) -72.96 MPa] Fig. P1.9 lyparrow_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_forward
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