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 6.122P
Segment A of the composite beam is made from 2014-T6 aluminum alloy and segment B is A-36 steel. If w = 0.9 kip/ft, determine the absolute maximum bending stress in the aluminum and steel. Sketch the stress distribution on the cross section.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The white spruce beam is reinforced with A-992 steel straps at its center and sides. Determine the maximum stress developed in the wood and steel if the beam is subjected to a bending moment of Mz = 10 kip # ft. Sketch the stress distribution acting over the cross section.
A long concrete footing rests on an earth founda-
tion for which the value of the foundation modulus is 5-6 MN/m2. The
footing has a cross-section 200 mm wide and 200 mm deep. The footing
supports a uniformly distributed load of 2 kN/m of length which ex-
tends over a 3 m length. Compute the value of the maximum bending
moment in the footing and the maximum bending stress. E = 14 GN/m2.
The beam is supported by a roller at B and a pin at C and is subjected to the distributed load shown with
intensity w = 180 N/m. The maximum positive and negative internal bending moments are critical factors
in the design of the beam material and geometry. Determine the largest positive and negative internal
bending moments that occur in the beam and the points along the length where each occurs. Take x = 0
to be at point A at the left edge of the beam.
%3D
cc
BY NC
SA
2016 Eric Davishahl
B
-b-
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
a
3.20 m
b
3.68 m
The maximum negative internal bending moment is
N-m
and occurs at x =
m to the right of A.
The maximum positive internal bending moment is
N-m
and occurs at x =
m to the right of A.
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
- Determine the absolute maximum normal stress (in unit of MPa) in the beam with external loadings shown below. The beam has a uniform square cross-section with lateral size a = 0.2 m. Note: (1) the shear and moment diagrams can be calculated by either section method or graphical method; (2) there is a concentrated load at point A and a bending moment at point C. 20 kN w = 20 kN/m Mc = = 80 kN · m || В A¬Q C y 2 m 2 m 2 marrow_forwardDetermine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load.arrow_forwardDraw a FBD of section CD. Do not solve the rest of the problemarrow_forward
- A W360 × 72 standard steel shape is used to support theloads shown on the beam in Figure a. The shape is oriented sothat bending occurs about the weak axis, as shown in Figure b.Consider the entire 6 m length of the beam, and determine(a) the maximum tensile bending stress at any location along thebeam and(b) the maximum compressive bending stress at any locationalong the beamarrow_forwardA WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAg - 2 m, Lac- 7 m, Lco- 4 m, PA- 14 kN, Wac- 8 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam.arrow_forwardThe rod is supported by smooth journal bearings at A and B that only exert vertical reactions on the shaft. Part A Determine its smallest diameter d if the allowable bending stress is oallow = 130 MPa (Figure 1) Express your answer with the appropriate units. HA ? d = Value Units Figure < 1 of 1 Submit Request Answer 12 kN/m Provide Feedback 3 m 1.5 marrow_forward
- A beam with a half-circular cross-section with radius R = 1.7 in is subjected to a maximum positive bending moment of 25700 lb*in about a horizontal axis. Determine the maximum tensile and compressive flexural stress in the beam. Denote a tensile stress with a positive number, and a compressive stress with a negative number. psi o max 6 maxc - = R psiarrow_forwardIf the beam is subjected to an internal moment of M = 100 kN*m, determine the bending stress developed at points A, B, and C. Sketch the bending stress distribution on the cross section. Construct the stress distribution in 2D similar to in-class examples, rather than isometrically similar to the textbook examples for clarity. 30 mm A B 300 mm M 150 mm 150 mm 30 mmarrow_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
- AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 2 m, Lgc = 6 m, LCD = 2 m, PA = 14 kN, WBC= 10 kN/m. Consider the entire 10-m length of the beam and determine: (a) the maximum tension bending stress o at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. PA LAB Answers: (a) σT = (b) oc = i B WBC N LBC WT305 x 41 C LCD 88.9 mm 211.1 mm MPa. MPa.arrow_forward1. For the simply supported beam with a T-shape cross-section as shown below, a- Draw the shear and moments diagram of the beam. b- Determine the maximum normal bending stress and specify its location. C- If the beam made from two boards determines the maximum shear stress in the glue necessary to hold the boards together along the seam where they are joined. d- Determine the shear stress at point B. 4 m 6.5 kN/m 6m- Glue 150 mm 30 mm 150 mm 30 mmarrow_forwardIf the beam is subjected to a bending moment of M = 50 kN # m, sketch the bending stress distribution over the beam’s cross section.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
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