Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 11.5, Problem 99P
To determine
Find the bending stress at point A of the beam, and the orientation of the neutral axis.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The aluminium machine part shown below is subjected to a moment of M
= 75 N.m. Determine the bending stress created at points B and A on the
cross section. Sketch the results on a volume element located at each of
these points.
A-
50mm
50mm
100mm
100mm
20mm
B-
M=8kN-m
20mm
*
For the cross section shown in the figure.
Given the value of Y= 172 mm. Find the
:value of total moment of Inertia
250 mm
A1
Neutral Axis (N.A)
A2
Ý
Reference Line
50 mm
40 mm
220 mm
145.2 x 10^6 mm^4
119.7 x 10^6 mm^4
169.4 x 10^6 mm^4
129.5 x 10^6 mm^4 O
119.7 x 10^6 mm^3 O
119.7 x 10^6 mm^2
119.7 x 10^6 mm
134.2 x 10^6 mm^4 O
47.57 x 10^6 mm^4 O
193.1 x 10^6 mm^4
86.65 x 10^6 mm^4
If M = 9.0 kip-ft, find the magnitude of the bending stress at a point 2.72 in. above the bottom surface of the beam. The moment of
inertia about the z axis is 124.9 in.4, and the centroid of the section is located 4.7 in. above the bottom surface of the beam.
M
2207 psi
1712 psi
2368 psi
O 1971 psi
O 1860 psi
M
1 in.
↑
6 in.
1 in.
8 in.
+ | .1in.
Chapter 11 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 11.2 - In each case, the beam is subjected to the...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - Prob. 5FPCh. 11.2 - Prob. 6FPCh. 11.2 - In each ease, draw the shear and moment diagrams...Ch. 11.2 - Prob. 8FPCh. 11.2 - Prob. 1P
Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - Express the shear and moment in terms of x for 0 ...Ch. 11.2 - Express the internal shear and moment in the...Ch. 11.2 - Prob. 6PCh. 11.2 - Express the internal shear and moment in terms of...Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - If the force applied to the handle of the load...Ch. 11.2 - Draw the shear and moment diagrams for the shaft....Ch. 11.2 - The crane is used to support the engine, which has...Ch. 11.2 - Prob. 12PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Members ABC and BD of the counter chair are...Ch. 11.2 - A reinforced concrete pier is used to support the...Ch. 11.2 - Draw the shear and moment diagrams for the beam...Ch. 11.2 - The industrial robot is held in the stationary...Ch. 11.2 - Determine the placement distance a of the roller...Ch. 11.2 - Prob. 20PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - The 150-lb man sits in the center of the boat,...Ch. 11.2 - Prob. 24PCh. 11.2 - The footing supports the load transmitted by the...Ch. 11.2 - Prob. 26PCh. 11.2 - Prob. 27PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Prob. 30PCh. 11.2 - Prob. 31PCh. 11.2 - Prob. 32PCh. 11.2 - The shaft is supported by a smooth thrust bearing...Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the rod....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Prob. 38PCh. 11.2 - Draw the shear and moment diagrams for the double...Ch. 11.2 - Draw the shear and moment diagrams for the simply...Ch. 11.2 - The compound beam is fixed at A, pin connected at...Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - The compound beam is fixed at A, pin connected at...Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - A short link at B is used to connect beams AB and...Ch. 11.2 - The truck is to be used to transport the concrete...Ch. 11.4 - Determine the moment of inertia of the cross...Ch. 11.4 - Prob. 3PPCh. 11.4 - In each case, show how the bending stress acts on...Ch. 11.4 - Prob. 5PPCh. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - Prob. 12FPCh. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - An A-36 steel strip has an allowable bending...Ch. 11.4 - Determine the moment M that will produce a maximum...Ch. 11.4 - Determine the maximum tensile and compressive...Ch. 11.4 - The beam is constructed from four pieces of wood,...Ch. 11.4 - The beam is constructed from four pieces of wood,...Ch. 11.4 - The beam is made from three boards nailed together...Ch. 11.4 - Prob. 53PCh. 11.4 - If the built-up beam is subjected to an internal...Ch. 11.4 - If the built-up beam is subjected to an internal...Ch. 11.4 - Prob. 56PCh. 11.4 - Determine the moment M that should be applied to...Ch. 11.4 - Prob. 58PCh. 11.4 - Prob. 59PCh. 11.4 - The beam is subjected to a moment of 15 kip ft....Ch. 11.4 - The beam is subjected to a moment of 15 kip ft....Ch. 11.4 - Prob. 62PCh. 11.4 - The steel shaft has a diameter of 2 in. It is...Ch. 11.4 - The beam is made of steel that has an allowable...Ch. 11.4 - Prob. 65PCh. 11.4 - Solve Prob. 11-65 if the moment M = 50 N m is...Ch. 11.4 - The shaft is supported by smooth journal bearings...Ch. 11.4 - Prob. 68PCh. 11.4 - Prob. 69PCh. 11.4 - The strut on the utility pole supports the cable...Ch. 11.4 - Prob. 71PCh. 11.4 - Prob. 72PCh. 11.4 - Determine the smallest allowable diameter of the...Ch. 11.4 - Prob. 74PCh. 11.4 - The shaft is supported by a thrust bearing at A...Ch. 11.4 - If the intensity of the load w = 15 kN/m,...Ch. 11.4 - If the allowable bending stress is allow = 150...Ch. 11.4 - The beam is subjected to the triangular...Ch. 11.4 - The beam has a rectangular cross section with b =...Ch. 11.4 - Determine the absolute maximum bending stress in...Ch. 11.4 - If the compound beam in Prob. 11-42 has a square...Ch. 11.4 - Prob. 82PCh. 11.4 - Prob. 83PCh. 11.4 - Determine, to the nearest millimeter, the smallest...Ch. 11.4 - Prob. 85PCh. 11.4 - Determine the absolute maximum bending stress in...Ch. 11.4 - Determine the smallest diameter of the shaft to...Ch. 11.4 - Prob. 88PCh. 11.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 11.4 - The simply supported truss is subjected to the...Ch. 11.4 - Prob. 92PCh. 11.4 - Prob. 93PCh. 11.4 - Prob. 94PCh. 11.4 - The beam has the rectangular cross section shown....Ch. 11.5 - Determine the bending stress developed at corners...Ch. 11.5 - Prob. 15FPCh. 11.5 - Prob. 96PCh. 11.5 - Prob. 97PCh. 11.5 - Prob. 98PCh. 11.5 - Prob. 99PCh. 11.5 - Determine the bending stress at point A of the...Ch. 11.5 - The steel shaft is subjected to the two loads. If...Ch. 11.5 - Prob. 102PCh. 11.5 - Prob. 103PCh. 11.5 - Prob. 104PCh. 11 - Determine the shape factor for the wide-flange...Ch. 11 - The compound beam consists of two segments that...Ch. 11 - A shaft is made of a polymer having a parabolic...Ch. 11 - Determine the maximum bending stress in the handle...Ch. 11 - Determine the shear and moment in the beam as...Ch. 11 - A wooden beam has a square cross section as shown....Ch. 11 - Prob. 7RPCh. 11 - The strut has a square cross section a by a and is...
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
- For the given section, (a) determine the moment of inertia about z & y-axes. (b) if the section is subjected to Mz= 10 kN-m and My-25 kN-m, determine the maximum tensile bending stress and find its location on the section (use the notation of A, B,C, and D). 15 mm 50 mm 2 + 50 mm C 15 mm 10 mm 100 mm 8arrow_forwardPart B - Moments of inertia of the cross section with respect to the y- and z-axesTo calculate the absolute maximum bending stress in the member using the flexure formula for unsymmetrical bending, the moments of inertia of the cross section must be calculated. Select the correct formulas for these values. Iy=? Part C - Neutral-axis angle due to externally applied momentsThe neutral-axis angle of the cross section being analyzed is the axis along which there is a zero stress value. Determine the neutral-axis angle, α, due to the externally applied moments as measured counterclockwise from the positive z axis in the yz plane.Express your answer to three significant figures and include the appropriate units. α=? Part D - Absolute maximum stress in cross section ABCDDetermine the absolute maximum stress, |σmax|, in cross section ABCD due to the two externally applied moments. |σmax|=?arrow_forwardAn A-36 steel strap having a thickness of 10 mm and a width of 20 mm is bent into a circular arc of radius r = 10 m. Determine the maximum bending stress in the strap.arrow_forward
- The cantilevered beam uses a W360x79 wide-flange section. The geometric properties of the section are given by the table. The beam is subjected to the concentrated load P and to the couple moment Mo clockwise such that the bending moment just to the right of point B is M = 25.6 kN.m. What is the percentage of the bending moment resisted by the stresses acting on the web? М L - L Harrow_forward1. For a simple supported beam with a bending moment diagram shown, determine the following a. Area moment of inertia of the given cross section b. Maximum tensile flexural stress and its location c. Maximum compressive flexural stresses and its location The beam has the triangular section shown: The beam has the triangular section shown. 200 mm 676 E M (Nm) 300 mm - 1200 - 1560 X-sectionarrow_forwardThe aluminum strut has a cross-sectional area in the form of a cross. It is subjected tothe Moment M = 8 KN.m. (i) Determine the bending stress acting at points A and B; (ii)Determine the maximum bending stress in the beam and sketch a three dimensional view of thestress distribution acting over the entire cross-sectional area.arrow_forward
- The shaft is subjected to the vertical and horizontal loadings of two pulleys D and E as shown. It is supported on two journal bearings at A and B which offer no resistance to axial loading. Furthermore, the coupling to the motor at C can be assumed not to offer any support to the shaft. Determine the required diameter d of the shaft if the allowable bending stress is sallow = 180 MPa.arrow_forwardthe 1m beam shown is subjected to 6 kN. if the beams has a rectangular cross section as shown where b = 0.2 m h = 0.5 m the maximum bending stress on the beam at section a-a when d = 0.3 m is kPa aarrow_forwardA member having the dimensions shown is used to resist an internal bending moment of M kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown) (b) about the y axis. Sketch the stress distribution for each case. Take: M= 90 kNm A mm A= 200 mm B= 150 mm B mm Solution: The moment of inertia of the cross-section about z and y axes are I;-4 1 - AB³ 12 (10) m* I BA = (10) m*arrow_forward
- The cross section of a beam loaded with V=20.1 kN is shown. Determine the shear stress at point A given that a=0.3 m, b=0.5 m, and c=0.1 m, and the moment of inertia about its horizontal neutral axis equals 0.007533 m4. 0.2 m 0.2 m 0.2 m O 133.407 kPa O 80.044 kPa O 26.681 kPa O 160.088 kPa 0 13.341 kPa O 33.352 kPa O 6.670 KPa O 66.704 kPaarrow_forwardThe shaft is supported by a smooth thrust bearing at A and a smooth journal bearing at B. Take: d1 = 1 m, d2 =1 m, d3 = 1 m, d4 = 1.2 m, d5 = 1.4 m, F1 = 691 N/m, and F2 = 1,189 N. Determine the bending moment (Mc) acting on the cross section at C in N-m. Hint: consider the sign convention for internal loods. F1 В + di d2 d3 d4 ds F2arrow_forwardSmooth journal bearings at A and B that only exert vertical reactions on the shaft as shown below support the shaft. Based on the loading and support conditions shown, address the following: (a) Sketch the shear and moment diagrams using the graphical method - label all significant conditions. (b) If d = 90 mm, determine the absolute maximum bending stress in the beam, and sketch the stress distribution acting over the cross section. A 3 m 12 kN/m B 1.5 marrow_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
Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License