Mechanics of Materials
11th Edition
ISBN: 9780137605514
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6, Problem 4RP
If it resists a moment of M = 125 N · m, determine the maximum bending stress in the material (a) using the flexure formula and (b) using integration. Sketch a three-dimensional view of the stress distribution acting over the cross-sectional area. Hint: The moment of inertia is determined using Eq.A–3 of Appendix A.
R6–4
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
3 kN
3 kN
1.8 kN/m
80 mm
B
300 mm
D
an
1.5 m-1.5 m--1.5 m-
PROBLEM 5.47
Using the method of Sec. 5.2, solve Prob. 5.16
PROBLEM 5.16 For the beam and loading shown, determine the
maximum normal stress due to bending on a transverse section at C.
300 mm
3 kN
3 kN
450 N-m
D
E
200 mm
300 mm
PROBLEM 5.12
Draw the shear and bending-moment diagrams for the beam and loading
shown, and determine the maximum absolute value (a) of the shear,
(b) of the bending moment.
CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD.
The cantilevered spandrel beam shown whose depth tapers from d1 to d2, has a constant width of 120mm. It carries a triangularly distributed end reaction.Given: d1 = 600 mm, d2 = 120 mm, L = 1 m, w = 100 kN/m1. Calculate the maximum flexural stress at the support, in kN-m.2. Determine the distance (m), from the free end, of the section with maximum flexural stress.3. Determine the maximum flexural stress in the beam, in MPa.ANSWERS: (1) 4.630 MPa; (2) 905.8688 m; (3) 4.65 MPa
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
- CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD A concrete wall retains water as shown. Assume that the wall is fixed at the base. Given: H = 3 m, t = 0.5m, Concrete unit weight = 23 kN/m3Unit weight of water = 9.81 kN/m3(Hint: The pressure of water is linearly increasing from the surface to the bottom with intensity 9.81d.)1. Find the maximum compressive stress (MPa) at the base of the wall if the water reaches the top.2. If the maximum compressive stress at the base of the wall is not to exceed 0.40 MPa, what is the maximum allowable depth(m) of the water?3. If the tensile stress at the base is zero, what is the maximum allowable depth (m) of the water?ANSWERS: (1) 1.13 MPa, (2) 2.0 m, (3) 1.20 marrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I NEED FBD A short plate is attached to the center of the shaft as shown. The bottom of the shaft is fixed to the ground.Given: a = 75 mm, h = 125 mm, D = 38 mmP1 = 24 kN, P2 = 28 kN1. Calculate the maximum torsional stress in the shaft, in MPa.2. Calculate the maximum flexural stress in the shaft, in MPa.3. Calculate the maximum horizontal shear stress in the shaft, in MPa.ANSWERS: (1) 167.07 MPa; (2) 679.77 MPa; (3) 28.22 MPaarrow_forwardCORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD. The roof truss shown carries roof loads, where P = 10 kN. The truss is consisting of circular arcs top andbottom chords with radii R + h and R, respectively.Given: h = 1.2 m, R = 10 m, s = 2 m.Allowable member stresses:Tension = 250 MPaCompression = 180 MPa1. If member KL has square section, determine the minimum dimension (mm).2. If member KL has circular section, determine the minimum diameter (mm).3. If member GH has circular section, determine the minimum diameter (mm).ANSWERS: (1) 31.73 mm; (2) 35.81 mm; (3) 18.49 mmarrow_forward
- PROBLEM 3.23 3.23 Under normal operating condi- tions a motor exerts a torque of magnitude TF at F. The shafts are made of a steel for which the allowable shearing stress is 82 MPa and have diameters of dCDE=24 mm and dFGH = 20 mm. Knowing that rp = 165 mm and rg114 mm, deter- mine the largest torque TF which may be exerted at F. TF F rG- rp B CH TE Earrow_forward1. (16%) (a) If a ductile material fails under pure torsion, please explain the failure mode and describe the observed plane of failure. (b) Suppose a prismatic beam is subjected to equal and opposite couples as shown in Fig. 1. Please sketch the deformation and the stress distribution of the cross section. M M Fig. 1 (c) Describe the definition of the neutral axis. (d) Describe the definition of the modular ratio.arrow_forwardusing the theorem of three moments, find all the moments, I only need concise calculations with minimal explanations. The correct answers are provided at the bottomarrow_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