Mechanics of Materials
11th Edition
ISBN: 9780137605514
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Question
Chapter 6.4, Problem 57P
To determine
The maximum stress and moment are applied to the beam.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Determine the moment M that should be applied to the beam in order to create a compressive stress
at point D of σD = 30 MPa. Also sketch the stress distribution acting over the cross section and
calculate the maximum stress in the beam.
Construct the stress distribution in 2D similar to in-class examples, rather than isometrically similar
to the textbook examples for clarity.
Hint: The maximum stress will occur at the extreme fiber (Either top or bottom). For symmetric cross-
sections, the extreme fiber for the tensile and compressive stresses will have the same magnitude.
A
25 mm
M
D
150 mm
25 mm
25 mm
B
150 mm
25 mm
Determine the moment M that should be applied to the beam in order to create a compressive stress at point D of sD = 10 MPa. Also, sketch the stress distribution acting over the cross section and calculate the maximum stress developed in the beam.
i need the answer quickly
Chapter 6 Solutions
Mechanics of Materials
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 - Prob. 1PCh. 6.2 - Prob. 2P
Ch. 6.2 - Prob. 3PCh. 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 - Determine the shear and moment as functions of x,...Ch. 6.2 - Determine the shear and moment as functions of x,...Ch. 6.2 - Determine the shear and moment as functions of x,...Ch. 6.2 - Determine the shear and moment in the double...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Draw the shear and moment diagrams for the shaft....Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Prob. 16PCh. 6.2 - Draw the shear and moment diagrams for the simply...Ch. 6.2 - Prob. 19PCh. 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 - Prob. 24PCh. 6.2 - Draw the shear and moment diagrams for the beam.Ch. 6.2 - Prob. 26PCh. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Prob. 29PCh. 6.2 - Prob. 30PCh. 6.2 - Prob. 31PCh. 6.2 - Prob. 34PCh. 6.2 - Prob. 35PCh. 6.2 - The beam is used to support a uniform load along...Ch. 6.2 - Prob. 39PCh. 6.2 - Prob. 42PCh. 6.2 - Prob. 43PCh. 6.2 - Prob. 44PCh. 6.2 - Prob. 45PCh. 6.2 - The truck is to be used to transport the concrete...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 - 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 - Prob. 54PCh. 6.4 - The tubular shaft is supported by a smooth thrust...Ch. 6.4 - Prob. 57PCh. 6.4 - If the beam is subjected to an internal moment or...Ch. 6.4 - If the beam is made of material having an...Ch. 6.4 - Prob. 60PCh. 6.4 - Prob. 61PCh. 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 - Determine the dimension a of a beam having a...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. 67PCh. 6.4 - If M=4kipft , determine the resultant force the...Ch. 6.4 - The strut on the utility pole supports the cable...Ch. 6.4 - The pin is used to connect the three links...Ch. 6.4 - Prob. 75PCh. 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 - Prob. 80PCh. 6.4 - Prob. 81PCh. 6.4 - Prob. 82PCh. 6.4 - Prob. 83PCh. 6.4 - If the intensity of the load w=15kN/m , determine...Ch. 6.4 - Prob. 85PCh. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Prob. 87PCh. 6.4 - Prob. 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 - 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 - Prob. 102PCh. 6.4 - Prob. 103PCh. 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 - 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. 6.9 - 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 - A wood beam is reinforced with steel straps at its...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 - 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 - 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 - Prob. 150PCh. 6.9 - Prob. 151PCh. 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 - Prob. 154PCh. 6.9 - The bar is subjected to a moment of M=17.5Nm If...Ch. 6.9 - Prob. 156PCh. 6.9 - Prob. 157PCh. 6.10 - The beam is made of an elastic plastic material...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 - Prob. 164PCh. 6.10 - Prob. 166PCh. 6.10 - Prob. 170PCh. 6.10 - Prob. 171PCh. 6.10 - The box beam is made of an elastic perfectly...Ch. 6.10 - The plexiglass bar has a stress-strain curve that...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 cross section of a steel beam is shown in the figure. This beam is subjected to a bending moment M having its vector at an angle 8 to the - axis. Determine the orientation of the neutral axis and calculate the maximum tensile stress tiand maximum compressive stress tcin the beam. Assume that e = 22.5° and M = 4.5 kN · m. Use cross-sectional properties Ix=93.14 × 106 mm4, Iy= 152.7 X 10e mm4, and 9 = 27.3º.arrow_forwardA beam section has the z-axis and y-axis as the principal centroidal axes and I₂ = 15 x 106 mm and I, = 8 x 10 mm. The beam carries a moment with components M₂ = 5 kN.m and M₁ = -4 kN.m. What is the stress at the location z = 35 mm and y = 60 mm within the beam section? Show your work Select one: a. -2.5 MPa b. 2.5 MPa c. Od. 37.5 MPa -37.5 MPaarrow_forwardSolve correctly please I request you otherwise skip itarrow_forward
- y M B H B W Figure-2 A wide flange beam is subjected to a moment as shown in Figure-2. If M=10 kN.m, H=212 mm, W=170 mm, d=11 mm, t=18 mm and 0=64°; Btermine the momentOt lhadat about the axis- etermine the mement of inertia (mmabeut the avie y Betermine the normat stress (MPa due to bendng atpontA itic commressIive stress use Determine the orientation angle, B (degree), of the neutral axis relative to the +z axis.arrow_forwardThe composite beam is made of steel (A) bonded to brass (B) and has the cross section shown in Figure 2. If it is subjected to a moment of M= 6.5 kN.m, determine the maximum bending stress in the brass and steel. Also, what is the stress in each material at the seam where they are bonded together? The elastic modulus for the brass is EBrass = 100 GPa and the elastic modulus for the steel is Esteel = 200GPa. 150 mm B N M 175 mm Figure 2 200 mmarrow_forwardThe composite beam is made of steel (A) bonded to brass (B) and has the cross section shown in Figure 2. If it is subjected to a moment of M = 6.5 kN.m, determine the maximum bending stress in the brass and steel. Also, what is the stress in each material at the seam where they are bonded together? The elastic modulus for the brass is EBrass = 100 GPa and the elastic modulus for the steel is Esteel = 200GPa. 150 mm B N M 175 mm 200 mm Xarrow_forward
- A 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_forwardIf the angle of the moment M = 170 kN.m on the square section with a side length b = 160 mm in the figure is e = 45 °, which of the following is the highest compressive stress in the section in MPa?arrow_forwardZ y q 0.3m 4.25 kN 5 KN 0.4m 100 KN 100 KN 3.0 kN m 0.1m 2 kN 2,00 KN 200 KN X This stainless steel beam has a circular cross section and a diameter of 7 centemeter. Find the axial, torsional, bending and transverse shear stresses at the four critical points (top, bottom, left and right) of the central cross section. Draw the stress state cubes and then represent them as plane stress statesarrow_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
Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License