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 1.5, Problem 50P
Determine the factor of safety for the cable anchor in Prob. 1.49 when P = 2.5 kips, knowing that a = 2 in. and b = 6 in.
1.49 A steel plate
Fig. P1.49
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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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- 2. A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and length of the steel rod are given as 10 mm and 120 mm, respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0.53x 10 3, Given that the total extension of the composite rod must not exceed 0,162 4 mm and E for steel is 200 GPa, respectively. Calculate: a. Strain in the steel rod b. Load carried by the steel and brass rods d. Modulus of elasticity for the brass.arrow_forwardA rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and 3 inches long in the z direction. The block is subjected to a triaxial loading of three resultant forces as follows: 72 kips compression in the x direction, 60 kips tension in the y direction, and 56 kips tension in the z direction. If ν = 1/3 and E = 29 x 106 psi, ( a ) determine the single resultant load in the z direction that would produce the same deformation in x direction as the original loadings. ( b ) determine the single resultant load in the y direction that would produce the same deformation in x direction as the original loadings.arrow_forwardQue 1.23. A steel rod of 3 cm diameter is enclosed centrally in a hollow copper tube of external diameter 5 cm and internal diameter 4 cm. The composite bar is then subjected to an axial pull of 45000 N. If the length of each bar is equal to 15 cm. Determine : i. The stresses in the rod and the tube. ii. Load carried by each rod. E for steel = 200 GPa and for Copper = 100 GPa.arrow_forward
- Neet both partsarrow_forwardProblem •..'A brass bar, having cross-sectional area of 1000 mm?, is subjected axial forces as shown in Fig. 1.9. A B D 50 kN 80 kN 10 kN 20 kN 600 mm 1 m - - 1.20 m Fig. 1.9 Find the total elongation of the bar. Take E = 1.05 x 105 NImm2.arrow_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
- Situation 1: Two wires are supporting a weight W as shown in the figure. The stresses in wire AB and AC are not to exceed 100 MPa and 150 MPa, respectively. The cross-sectional area of the two wires are 400 mm2 for AB and 200 mm2 for AC. 1. Which of the following most nearly gives the maximum tensile force that the wire AB can support? c. 30 kN d. 20 kN a. 50 kN b. 40 kN 2. Which of the following most nearly gives the maximum tensile force that the wire AC can support? 45 c.30 kN a. 50 kN b. 40 kN d. 20 kN 3. Which of the following most nearly gives the largest weight W that can be supported by the wires? a. 50.19 kN b. 45.68 kN c. 33.46 kN d. 41.21 kNarrow_forwardAs shown on the right, two circular rods (CE and DF) are attached to a rigid bar (ABCD). Knowing that 2 m 1m 3 m the diameters of the rods are: der = 10 cm dor = 20 cm the young's moduli of the rods are ECE = 200 GPa Epr = 80 GPa 4 m 5 m 10KN Determine the forces applied by the two rods, i.e., Fce and Forarrow_forwardA 13-mm-diameter steel (E = 193 GPa) rod (2) is connected to a 27-mm-wide by 10-mm-thick rectangular aluminum (E = 72 GPa) bar (1), as shown. Assume L1 = 0.74 m and L2 = 1.38 m. Determine the force P (in kN rounded to the nearest tenths) required to stretch the assembly 8.1 mm. (1) L₁ B L2 C P ...arrow_forward
- 1. A 16-cm square steel bearing plate lies between a 12-cm diameter wooden post and a concrete footing as shown below. Determine the maximum value of the axial load P if the stress in wood is limited to 300 MPa and that in concrete to 90 MPa. 12-cm Bearing Plate 16 cm 16 cm For problem 1arrow_forwardA 8-mm-diameter wire (E = 90 GPa) supports a tension load of 5 kN. If the total elongation of the wire must not exceed 14 mm, determine the maximum allowable length L of the wire. 5,000.00 Narrow_forwardA 13-mm-diameter steel (E = 193 GPa) rod (2) is connected to a 27-mm-wide by 10-mm-thick rectangular aluminum (E = 72 GPa) bar (1), as shown. Assume L1 = 0.74 m and L2 = 1.38 m. Determine the force P (in kN rounded to the nearest tenths) required to stretch the assembly 8.1 mm.arrow_forward
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