Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6.9, Problem 6.141P
If P = 3 kN, determine the bending stress at points A, B, and C of the cross section at section a-a. Using these results, sketch the stress distribution on section a-a.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The eye hook has the dimensions shown. If it supports a cable loading of 800 lb, determine the maximum normal stress at section a–a and sketch the stress distribution acting over the cross section. Use the curved-beam formula to calculate the bending stress.
5. If the radius of each notch on the pictured bending plate is r = 10 mm, determine the
largest moment M that can be applied if the loading is of fatigue nature and the maximum
allowable bending stress is 180 MPa.
20 mm
125 mm-
165 mm
M
question is on the figure
Chapter 6 Solutions
Mechanics of Materials (10th Edition)
Ch. 6.2 - In each case, the beam is subjected to the...Ch. 6.2 - and then draw the shear and moment diagrams for...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - Draw the shear and moment diagrams for the shaft...
Ch. 6.2 - Draw the shear and moment diagrams for the beam,...Ch. 6.2 - Draw the shear and moment diagrams for the beam,...Ch. 6.2 - Express the shear and moment in terms of x for 0 ...Ch. 6.2 - Express the internal shear and moment in the...Ch. 6.2 - Draw the shear and moment diagrams for the shaft....Ch. 6.2 - Express the internal shear and moment in terms of...Ch. 6.2 - Draw the shear and moment diagrams for the beam,...Ch. 6.2 - If the force applied to the handle of the load...Ch. 6.2 - Draw the shear and moment diagrams for the shaft....Ch. 6.2 - The crane is used to support the engine, which has...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Members ABC and BD of the counter chair are...Ch. 6.2 - A reinforced concrete pier is used to support the...Ch. 6.2 - Draw the shear and moment diagrams for the beam...Ch. 6.2 - The industrial robot is held in the stationary...Ch. 6.2 - Determine the placement distance a of the roller...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - The 150-lb man sits in the center of the boat,...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - The footing supports the load transmitted by the...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - The support at A allows the beam to slide freely...Ch. 6.2 - The smooth pin is supported by two leaves A and B...Ch. 6.2 - The shaft is supported by a smooth thrust bearing...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the rod....Ch. 6.2 - Draw the shear and moment diagrams for the beam...Ch. 6.2 - The beam is used to support a uniform load along...Ch. 6.2 - Draw the shear and moment diagrams for the double...Ch. 6.2 - Draw the shear and moment diagrams for the simply...Ch. 6.2 - The compound beam is fixed at A, pin connected at...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - The compound beam is fixed at A, pin connected at...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - A short link at B is used to connect beams AB and...Ch. 6.2 - The truck is to be used to transport the concrete...Ch. 6.4 - Determine the moment of inertia of the cross...Ch. 6.4 - Determine the location of the centroid, y, and the...Ch. 6.4 - In each case, show how the bending stress acts on...Ch. 6.4 - Sketch the bending stress distribution over each...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - An A-36 steel strip has an allowable bending...Ch. 6.4 - Determine the moment M that will produce a maximum...Ch. 6.4 - Determine the maximum tensile and compressive...Ch. 6.4 - The beam is constructed from four pieces of wood,...Ch. 6.4 - The beam is constructed from four pieces of wood,...Ch. 6.4 - The beam is made from three boards nailed together...Ch. 6.4 - The beam is made from three boards nailed together...Ch. 6.4 - If the built-up beam is subjected to an internal...Ch. 6.4 - If the built-up beam is subjected to an internal...Ch. 6.4 - The beam is subjected to a moment of M = 40 kN m....Ch. 6.4 - The steel shaft has a diameter of 2 in. It is...Ch. 6.4 - The beam is made of steel that has an allowable...Ch. 6.4 - A shaft is made of a polymer having an elliptical...Ch. 6.4 - Solve Prob. 6-65 if the moment M = 50 N m is...Ch. 6.4 - Prob. 6.67PCh. 6.4 - The shaft is supported by smooth journal bearings...Ch. 6.4 - The axle of the freight car is subjected to a...Ch. 6.4 - The strut on the utility pole supports the cable...Ch. 6.4 - The boat has a weight of 2300 lb and a center of...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine the smallest allowable diameter of the...Ch. 6.4 - The pin is used to connect the three links...Ch. 6.4 - The shaft is supported by a thrust bearing at A...Ch. 6.4 - A timber beam has a cross section which is...Ch. 6.4 - If the beam is subjected to an internal moment of...Ch. 6.4 - If the allowable tensile and compressive stress...Ch. 6.4 - If the beam is subjected to an internal moment of...Ch. 6.4 - If the beam is subjected to a moment of M = 100 kN...Ch. 6.4 - If the beam is made of material having an...Ch. 6.4 - The shaft is supported by a smooth thrust bearing...Ch. 6.4 - The shaft is supported by a thrust bearing at A...Ch. 6.4 - If the intensity of the load w = 15 kN/m,...Ch. 6.4 - If the allowable bending stress is allow = 150...Ch. 6.4 - The beam is subjected to the triangular...Ch. 6.4 - The beam has a rectangular cross section with b =...Ch. 6.4 - Prob. 6.88PCh. 6.4 - If the compound beam in Prob. 642 has a square...Ch. 6.4 - If the beam in Prob. 628 has a rectangular cross...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine, to the nearest millimeter, the smallest...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine the smallest diameter of the shaft to...Ch. 6.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 6.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 6.4 - If the beam in Prob.63 has a rectangular cross...Ch. 6.4 - The simply supported truss is subjected to the...Ch. 6.4 - If d = 450 mm, determine the absolute maximum...Ch. 6.4 - If the allowable bending stress is allow = 6 MPa,...Ch. 6.4 - The beam has a rectangular cross section as shown....Ch. 6.4 - The beam has the rectangular cross section shown....Ch. 6.5 - Determine the bending stress at corners A and B....Ch. 6.5 - Determine the maximum bending stress in the beams...Ch. 6.5 - The member has a square cross section and is...Ch. 6.5 - The member has a square cross section and is...Ch. 6.5 - Consider the general case of a prismatic beam...Ch. 6.5 - Determine the bending stress at point A of the...Ch. 6.5 - Determine the bending stress at point A of the...Ch. 6.5 - The steel shaft is subjected to the two loads. If...Ch. 6.5 - The 65-mm-diameter steel shaft is subjected to the...Ch. 6.5 - For the section, lz = 31.7(10-5) m4, lY =...Ch. 6.5 - For the section, lz, = 31.7(10-5) m4, lY =...Ch. 6.5 - The box beam is subjected to a moment of M = 15...Ch. 6.5 - Determine the maximum magnitude of the bending...Ch. 6.5 - The shaft is subjected to the vertical and...Ch. 6.5 - For the section, Iy' = 31.7(10-6) m4, Iz' =...Ch. 6.5 - For the section, Iy' = 31.7(10-6) m4, Iz' =...Ch. 6.5 - If the applied distributed loading of w = 4 kN/m...Ch. 6.5 - Determine the maximum allowable intensity w of the...Ch. 6.9 - The composite beam is made of steel (A) bonded to...Ch. 6.9 - The composite beam is made of steel (A) bonded to...Ch. 6.9 - Segment A of the composite beam is made from...Ch. 6.9 - Segment A of the composite beam is made from...Ch. 6.9 - The white spruce beam is reinforced with A-992...Ch. 6.9 - The wooden section of the beam is reinforced with...Ch. 6.9 - The wooden section of the beam is reinforced with...Ch. 6.9 - The Douglas Fir beam is reinforced with A-992...Ch. 6.9 - The steel channel is used to reinforce the wood...Ch. 6.9 - A wood beam is reinforced with steel straps at its...Ch. 6.9 - A bimetallic strip is made from pieces of 2014-T6...Ch. 6.9 - Determine the maximum uniform distributed load w0...Ch. 6.9 - The composite beam is made of A-36 steel (A)...Ch. 6.9 - The composite beam is made of A-36 steel (A)...Ch. 6.9 - If the beam is subjected to a moment of M = 45 kN...Ch. 6.9 - The Douglas Fir beam is reinforced with A-36 steel...Ch. 6.9 - For the curved beam in Fig. 640a, show that when...Ch. 6.9 - The curved member is subjected to the moment of M...Ch. 6.9 - The curved member is made from material having an...Ch. 6.9 - The curved beam is subjected to a moment of M = 40...Ch. 6.9 - The curved beam is made from material having an...Ch. 6.9 - If P = 3 kN, determine the bending stress at...Ch. 6.9 - If the maximum bending stress at section a-a is...Ch. 6.9 - The elbow of the pipe has an outer radius of 0.75...Ch. 6.9 - If the bar is subjected to a couple as shown,...Ch. 6.9 - The curved bar used on a machine has a rectangular...Ch. 6.9 - The steel rod has a circular cross section. If it...Ch. 6.9 - If it is subjected to a moment of M = 5 kN m,...Ch. 6.9 - The member has a circular cross section. If the...Ch. 6.9 - The curved bar used on a machine has a rectangular...Ch. 6.9 - The bar is subjected to a moment of M = 100 N, m....Ch. 6.9 - The allowable bending stress for the bar is allow...Ch. 6.9 - The bar has a thickness of 1 in. and the allowable...Ch. 6.9 - The bar has a thickness of 1 in. and is subjected...Ch. 6.9 - The bar has a thickness of 0.5 in. and the...Ch. 6.9 - If the radius of each notch on the plate is r = 10...Ch. 6.9 - The stepped bar has a thickness of 10 mm....Ch. 6.9 - The bar has a thickness of 0.5 in. and is...Ch. 6.10 - Determine the shape factor for the wide-flange...Ch. 6.10 - The wide-flange member is made from an elastic...Ch. 6.10 - The rod has a circular cross section. If it is...Ch. 6.10 - The rod has a circular cross section. If it is...Ch. 6.10 - The beam is made of an elastic perfectly plastic...Ch. 6.10 - Determine the plastic moment Mp that can be...Ch. 6.10 - Determine the shape factor for the beam. Prob....Ch. 6.10 - The beam is made of elastic perfectly plastic...Ch. 6.10 - Determine the shape factor for the beam. Prob....Ch. 6.10 - The beam is made of an elastic perfectly plastic...Ch. 6.10 - Prob. 6.168PCh. 6.10 - Prob. 6.169PCh. 6.10 - Prob. 6.170PCh. 6.10 - The rod has a circular cross section. If it is...Ch. 6.10 - Determine the shape factor of the cross section....Ch. 6.10 - The beam is made of elastic perfectly plastic...Ch. 6.10 - Determine the shape factor for the member having...Ch. 6.10 - Determine the shape factor of the cross section....Ch. 6.10 - The box beam is made of an elastic perfectly...Ch. 6.10 - The beam is made of an elastic perfectly plastic...Ch. 6.10 - The plexiglass bar has a stress-strain curve that...Ch. 6.10 - The stress-strain diagram for a titanium alloy can...Ch. 6.10 - A beam is made from polypropylene plastic and has...Ch. 6.10 - The bar is made of an aluminum alloy having a...Ch. 6.10 - The beam is made of phenolic, a structural...Ch. 6 - Using appropriate measurements and data, explain...Ch. 6 - Determine the shape factor for the wide-flange...Ch. 6 - The compound beam consists of two segments that...Ch. 6 - The composite beam consists of a wood core and two...Ch. 6 - If it resists a moment of M = 125 N m, determine...Ch. 6 - Determine the maximum bending stress in the handle...Ch. 6 - The curved beam is subjected to a bending moment...Ch. 6 - Determine the shear and moment in the beam as...Ch. 6 - A wooden beam has a square cross section as shown...Ch. 6 - Draw the shear and moment diagrams for the shaft...Ch. 6 - 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
- The aluminum rod has a cross-shaped cross section. If subjected to the moment M = 8 kN x m, determine the bending stress acting at points A and B and show the results acting on volume elements located at these points. 100 mm 20 mm 100 mm B M = 8 kN-m 20 mm- 50 mm 50 mmarrow_forwardi need the answer quicklyarrow_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 hook is subjected to the force of 80 lb. Determine the state of stress at point B at section a–a. The cross section has a diameter of 0.5 in. Use the curved-beam formula to calculate the bending stress.arrow_forward6-54. The beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 600 N - m, determine the maximum bending stress in the beam. Sketch a three-dimensional view of the stress distribution acting over the cross section. 25 mm 150 mm 20 mm 200 mm M - 600N-m 20 mmarrow_forwardThe axle of the freight train is subjected to loadings as shown below. The diameter of the axle is 137.5 mm. If it is supported by two journal bearings at C and D, determine the maximum bending Stress. Include a FBD, SFD and BMD using either the section or graphical method. Draw a cross-section of the shaft and indicate the points of maximum tension and compression.arrow_forward
- The strut on the utility pole supports the cable having a weight of 600 lb. Determine the absolute maximum bending stress in the strut if A, B, and C are assumed to be pinned. Hint: Construct the moment diagram of the strut. In the context of this problem, the strut is the horizontal member. 1.5 ft A 4 ft 2 in. -2 ft- 47 B 600 lb 14 in.arrow_forwardThe shaft is supported by smooth journal bearings at A and B that only exert vertical reactions on the shaft. If d = 90 mm, determine the absolute maximum bending stress in the beam, and sketch the stress distribution acting over the cross section.arrow_forwardThe strut has a square cross section a by a and is subjected to the bending moment M applied at an angle as shown. Determine the maximum bending stress in terms of a, M, and u. What angle u will give the largest bendingstress in the strut? Specify the orientation of the neutral axis for this case.arrow_forward
- Determine the moment M that will produce a maximum stress of 70 MPa on the cross-section. 12 mm -75 mm- -12 mm 12 mm B 75 mm 250 mm -- 12 mmarrow_forwardDetermine the bending stress at corners A and B. What is the orientation of the neutral axis?arrow_forwardThe pin is used to connect the three links together. Due to wear, the load is distributed over the top and bottom of the pin as shown on the free-body diagram. If the diameter of the pin is 0.40 in., determine the maximum bending stress on the cross-sectional area at the center section a–a. For the solution it is first necessary to determine the load intensities w1 and w2.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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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