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
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 1.5, Problem 38P
Link BC is 6 mm thick, has a width w = 25 mm, and is made of a steel with a 480-MPa ultimate strength in tension. What is the factor of safety used if the structure shown was designed to support a 16-kN load P?
Fig. P1.38 and P1.39
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
2.The rigid bar ABC shown in Fig.(1) is hinged at A and supported by a steel rod at B.
Determine the largest load P that can be applied at C if the stress in the steel rod is limited
to 30Ksi and the vertical movement of end C must not exceed 0.lin.
Steel
L= 4ft
A = 0.5in?
E = 29 • 10°psi
A
B
C
3ft
to
2ft
P
A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied.
Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.?. If the normal stress in bar
(1) must be limited to 23 ksi, determine the maximum load P that may be applied to the rigid bar.
120 in.
80 in.
(2)
(1)
B
C
54 in.
54 in.
24 in.
O 40.7 kips
O 60.3 kips
32.2 kips
43.1 kips
A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load P is applied.
Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.?. If the normal stress in bar
(1) must be limited to 31 ksi, determine the maximum load P that may be applied to the rigid bar.
120 in.
80 in.
(2)
(1)
B
D
54 in.
54 in.
24 in.
P
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- PROBLEM 1 Determine the allowable weight that the assembly can handle if the cable AB has a working stress of 200 Mpa and cable AC has a working stress of 150 Mpa. The cable cross sectional areas are 300 mm? for cable AB and 330 mm2 for cable AC. B 50° 28° A Warrow_forwardA timber block 250 mm square is reinforced on each side by a steel plate 250 mm wide and t mm thick. Determine the thickness t so that the assembly will support an axial load of 1200 kN without exceeding a maximum timber stress of 8 Mpa or a maximum steel stress of 140 Mpa. For timber, E = 10 x 103 Mpa; for steel, E = 200 x 103 Mpa.arrow_forwardThe bars EF and FG in the mechanism shown are made of steel, while the bar GH is made of aluminum. The compound bar is attached to a rigid support at H and to a galvanized wire rope at E. Although bar ABC is rigid, it can rotate freely at A. When the loads P1 = 10 kN, P2 = 100 kN, and P3 = 80 kN are applied, determine: a. the net deformation (in mm) of the compound bar b. the horizontal deflection (in mm) of point C (neglect vertical deflection) c. the angle of tilt (in °) of bar ABC Assume that pulley D is linked to a rigid plate, is frictionless, and negligible sizearrow_forward
- Task 2. The non-deformable, homogeneous ABCD board with a weight of G=10 kN is supported by three steel articulated bars BK, CH, DH and loaded with a horizontal force P=20 kN. Determine the value of the diameters of the bars, if the allowable tensile stress kr=10 kN/cm, a=1 m, b = 0.8 m. K H В P a |G A a Darrow_forward1. 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_forwardThe system shown to the right is made of two members, Member AC is completely rigid (it will not deform), and member BD is made from 6061-T6 AI Extrusion, has a length of 12", and has a cross sectional area of 2.0 in?. When a load of P=10,000 Ibs is applied, determine (a) the load in member BD, (b) the stress in member BD, (c) the strain in member BD, (d) the deflection of point B, (e) The lateral strain in member BD, and (f) the margin of safety for tension of member BD. 20". 15" A P.arrow_forward
- 6. Given the assembly shown is a cylinder rod position vertically and is supported by a collar and a bearing plate. What will be the maximum axial load P in N that can be applied to the cylinder rod considering that the average punching shear stress in the collar and the allowable bearing stress between the collar and the plate will not exceed 70 and 100 MPa. ww w 90 mm 120 mm 20 mm Collararrow_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_forwardPROBLEM No. 2 Determine the smallest safe cross-sectional areas of members BC, CG and GH for the truss shown. The allowable stress are 100 MPa in tension and 80 MPa in compression. Indicate tension or compression. (answer in mm?) 720 N 1440 N 1440 N 720 N 4 m 4 mt 4 m 4 m B D 3 m 6 m Harrow_forward
- The lower ends of the three bars shown are at the same level before the uniform rigid block weighing 55 kips is attached. Each steel bar has a length of 6 ft, and area of 1.3 in.?, and E = 29 x 106 psi. For the bronze bar, the area is 1.3 in.? and E = 12x 106 psi. Determine the length (in feet) of the bronze bar so that the load on each steel bar is twice the load on the bronze bar. Bronze Steel Steel W 2 ft 2 ftarrow_forwardThe steel frame shown has a diagonal brace BD with an area of 1548 sq.mm. Determine the largest allowable load P (in N) if the change in length of member BD is not to exceed 1.35 mm. Use x = 4.59m, y = 5.76m, and E = 199.3 Gpa. Express your answer in four decimal places.arrow_forwardA 1-in.-square aluminum strut is maintained in the position shown by a pin support at A and by sets of rollers at B and C that prevent rota-tion of the strut in the plane of the figure. Knowing that LAB=3 ft, determine (a) the largest values of LBC and LCD that can be used if the allowable load P is to be as large as possible, (b) the magnitude of the corresponding allowable load. Consider only buckling in the plane of the figure and use E=10.4 *106 psi.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Differences between Temporary Joining and Permanent Joining.; Author: Academic Gain Tutorials;https://www.youtube.com/watch?v=PTr8QZhgXyg;License: Standard Youtube License