EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 8.2, Problem 13P
8.9 through 8.14 Each of the following problems refers to a rolled-steel shape selected in a problem of Chap. 5 to support a given loading at a minimal cost while satisfying the requirement σm ≤ σall. For the selected design, determine (a) the actual value of σm in the beam, (b) the maximum value of the principal stress σmax at the junction of a flange and the web.
8.13 Loading of Prob. 5.77 and selected S510 × 98.2 shape.
Fig. P5.77
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Solve fast
A lightweight lever consists of a 0.8m solid bar rigidly mounted to a large structure and a 0.5m solid lever
welded to the solid bar. Using the loading indicated and assuming the material has a Young's Modulus of
200 GPa and a shear modulus of 86 GPa, calculate:
(a) the maximum stress at Point A on the Cross-section a-a,
(b) the vertical displacement of the knob when the load is applied relative to Cross-section a-a.
B
C
50 mm
Section ad
a 0.8 m
0.5 m
100 N
38 mm
Focus
b.
A draw bar between a tractor and a trailer is made from a length of steel
with a rectangular cross-section 100 mm by 12 mm. The load is transmitted
to the bar via a pin through a 25 mm diameter hole at each end as shown in
Fig. 5b.
x|
i.
ii.
of
100
O25
x|
Fig. 5b
CO
Y |
Y|
rum
beam
If the load P in the bar is 100 kN, determine the following:
The stress at the section X-X, shown in Fig. 5b.
The stress at the section Y-Y, shown in Fig. 5b. i ort ratelic
oltizog muhdillupealiste d
Chapter 8 Solutions
EBK MECHANICS OF MATERIALS
Ch. 8.2 - A W10 = 39 rolled-steel beam supports a load P as...Ch. 8.2 - Solve Prob. 8.1, assuming that P = 22.5 kips and a...Ch. 8.2 - An overhanging W920 449 rolled-steel beam...Ch. 8.2 - Solve Prob. 8.3, assuming that P = 850 kN and a =...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...
Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Prob. 12PCh. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Using the notation of Sec. 8.2 and neglecting the...Ch. 8.2 - The 4-kN force is parallel to the x axis, and the...Ch. 8.2 - The vertical force P1 and the horizontal force P2...Ch. 8.2 - The two 500-lb forces are vertical and the force P...Ch. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shafts ABC and DEF and the gears shown...Ch. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - The cantilever beam AB has a rectangular cross...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - Prob. 37PCh. 8.3 - Two forces are applied to the pipe AB as shown....Ch. 8.3 - Several forces are applied to the pipe assembly...Ch. 8.3 - The steel pile AB has a 100-mm outer diameter and...Ch. 8.3 - Three forces are applied to a 4-in.-diameter plate...Ch. 8.3 - The steel pipe AB has a 72-mm outer diameter and a...Ch. 8.3 - A 13-kN force is applied as shown to the...Ch. 8.3 - A vertical force P of magnitude 60 lb is applied...Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Prob. 46PCh. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Three forces are applied to the machine component...Ch. 8.3 - Prob. 52PCh. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Prob. 57PCh. 8.3 - Four forces are applied to a W8 28 rolled-steel...Ch. 8.3 - A force P is applied to a cantilever beam by means...Ch. 8.3 - Prob. 60PCh. 8.3 - A 5-kN force P is applied to a wire that is...Ch. 8.3 - Knowing that the structural tube shown has a...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8 - (a) Knowing that all = 24 ksi and all = 14.5 ksi,...Ch. 8 - Neglecting the effect of fillets and of stress...Ch. 8 - Knowing that rods BC and CD are of diameter 24 mm...Ch. 8 - The solid shaft AB rotates at 450 rpm and...Ch. 8 - A 6-kip force is applied to the machine element AB...Ch. 8 - A thin strap is wrapped around a solid rod of...Ch. 8 - A close-coiled spring is made of a circular wire...Ch. 8 - Forces are applied at points A and B of the solid...Ch. 8 - Knowing that the bracket AB has a uniform...Ch. 8 - For the post and loading shown, determine the...Ch. 8 - Knowing that the structural tube shown has a...Ch. 8 - The cantilever beam AB will be installed so that...
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
- 8.13 Determine the load carrying capacity of a hook of rectangular cross-section. The thickness of the hook is 75 mm; the ra- dius of the inner fibres is 150 mm, while that of the outer fibres is 250 mm. The line of action of the force passes at a distance of 75 mm from the inner fibres. The allowable stress is 70 MN/m².arrow_forwardA 20 mm diameter steel rod passes concentrically through a bronze tube (200+SN) mm long, 50 mm external diameter and 40 mm internal diameter. The ends of the steel rod are threaded and provided with nuts and washers which are adjusted initially so that there is no end play at 25°C.. 1. Assuming that there is no change in the thickness of the washers, if the stress produced in the steel is (200+SN) MN/m2 when one of the nuts is tightened, the pitch of the thread being 1 mm. Find the number of turns for the nut and stress in bronze tube.2. If the temperature of the steel and bronze is then raised to 4O°C find the changes that will occur in the stresses in both materials. The coefficient of linear expansion per C is 10 x10-6 for steel and 17 x10-6 for bronze. E for steel = 210 GN/m2. E %3D for bronze = 100 GN/m2.. Note: SN = %3D Student number Student Number =32arrow_forwardEach of the three rolled-steel beams shown (numbered 1, 2, and 3) is to carry a 64-kip load uniformly distributed over the beam. Each of these beams has a 12-ft span and is to be supported by the two 24-ft rolled-steel girders AC and BD. The allowable normal stress for the steel used is 22.5 ksi. Determine the section modulus for each girder and select the most economical W shape for the two girders using the table given below. (Round the final answer to one decimal place.)arrow_forward
- 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 4arrow_forward|This problem is just like the example problem, but dimension changed so centroid and moment of inertia change, AND the applied load is up and not down. - 3". - 3"-| A vertical force P of magnitude 20 kips is applied at point C located on the axis of symmetry of the cross section of a short column. Knowing that y = 11" determine at the top of column B 2" 6" the stress @ pt A @ pt b @ pt C @ the N.A. A 4" 2" Y' 2" 1/2"arrow_forwardA draw bar between a tractor and a trailer is made from a length of steel with a rectangular cross-section 100 mm by 12 mm. The load is transmitted to the bar via a pin through a 25 mm diameter hole at each end as shown in Fig. 4c. for 100 Fig. 4c If the load P in the bar is 100 kN, determine the following: The stress at the section X-X, shown in Fig. 4c. i (6 marks) ii The stress at the section Y-Y, shown in Fig. 4c. (5 marks)arrow_forward
- I need the answer as soon as possiblearrow_forwardI need the answer as soon as possiblearrow_forwardA) Using the ultimate stress found earlier, determine the minimum diameter of post BD required for the post not to fail. B) Using the ultimate stress found earlier, determine the minimum diameter of post CE required for the post not to fail.arrow_forward
- PROBLEM NO. 2 A flanged bolt coupling connects two shafts. The bolt circle diameter is 250 mm in which there are 12 bolts. The allowable shear stress is 50 MPa in the shafts and 23 MPa in the bolts. One shaft is hollow with outside diameter of 100 mm, while the other one is solid of diameter 50 mm. Determine the ratio of the outside and inside diameter of the hollow shaft and the bolt diameter so that both shafts and the flanged bolt coupling are having the same strength in torsion.arrow_forward2. (a) A steel cylinder of 60 mm inner radius and 80 mm outer radius is subjected to an internal pressure of 30 MNm ². Determine the resulting hoop stress values at the inner and outer surfaces and graphically represent (sketch) the general form of hoop stress variation through the thickness of the cylinder wall. (b) (c) The cylinder in (a) is to be used as a shrink-fitted sleeve to strengthen a hydraulic cylinder manufactured of the same steel. The cylinder bore radius is 40 mm. When the hydraulic cylinder is not subjected to internal pressure, the interference pressure generated due to the shrink fit alone is 30 MNm2. Note: This is the same value of pressure as in the problem analysed in part (a). Determine the resulting hoop stress values at the inner and outer walls of the inner cylinder. Graphically represent the general form of hoop stress variation through the wall thickness in the combination indicating the key values as calculated in parts (a) and (b). (d) If the Young's…arrow_forwardAn S150x 18.6 steel beam is loaded and supported as shown. On a section 3m to the right of A, determine (a) the flexural stress at a point 25mm below the top of the beam and (b) the maximum flexural stress on the section.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
Everything About COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license