Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 4.5.20P
The three beams in the figure have the same loading. However, one has a moment release just to the left of C, the second has a shear release just to the right of C, and the third has an axial release just to the left of C. Which beam has the largest maximum moment?
First, find support reactions; then plot axial force (N), shear ( V) and moment (M) diagrams for all three beams. Label all critical N, K, and M values and also the distance to points where N, K and loi M are zero.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Design a cotter joint to support a axial load of 100kN . Carbon steel material selected whichhas Tensile stress = 100MPa Compressive stress =150MPa; Shear stress =60MPa
Design a cotter joint to support a axial load of 100kN . Carbon steel material selected whichhas Tensile stress = 100MPa Compressive stress =150MPa; Shear stress =60MPa
I need all the derivations from Bohr's postulates in handwritten form
Chapter 4 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 4 - Calculate the shear force V and bending moment...Ch. 4 - Determine the shear force V and bending moment M...Ch. 4 - Determine the shear force V and bending moment M...Ch. 4 - Calculate the shear force V and bending moment M...Ch. 4 - Consider the beam with an overhang shown in the...Ch. 4 - The beam ABC shown in the figure is simply...Ch. 4 - The beam ABCD shown in the figure has overhangs at...Ch. 4 - At a full d raw, an archer applies a pull of 130 N...Ch. 4 - A curved bar ABC is subjected to loads in the form...Ch. 4 - Under cruising conditions, the distributed load...
Ch. 4 - A beam ABCD with a vertical arm CE is supported as...Ch. 4 - A simply supported beam AB supports a trapezoid...Ch. 4 - Beam ABCD represents a reinforced-concrete...Ch. 4 - Find shear (V) and moment (M) at x = 3L/4 for the...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - Find expressions for shear force V and moment Mat...Ch. 4 - Find expressions for shear force V and moment Mat...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - A cable with force P is attached to a frame at A...Ch. 4 - Find expressions for shear force V and moment M at...Ch. 4 - A cable with force P is attached to a frame at D...Ch. 4 - Frame ABCD carries two concentrated loads (2P at T...Ch. 4 - Frame ABC has a moment release just left of joint...Ch. 4 - The simply supported beam ABCD is loaded by a...Ch. 4 - The centrifuge shown in the figure rotates in a...Ch. 4 - Draw the shear-Force and bending-moment diagrams...Ch. 4 - A simple beam AB is subjected to a counter...Ch. 4 - Draw the shear-force and bending-moment diagrams...Ch. 4 - The cantilever beam AB shown in the figure is...Ch. 4 - Cantilever beam AB carries an upward uniform load...Ch. 4 - The simple beam AB shown in the figure is...Ch. 4 - A simple beam AB subjected to couples M1and 3M2...Ch. 4 - A simply supported beam ABC is loaded by a...Ch. 4 - A simply supported beam ABC is loaded at the end...Ch. 4 - A beam ABC is simply supported at A and B and has...Ch. 4 - Beam ABCD is simply supported at B and C and has...Ch. 4 - Draw the shear-force and bending-moment diagrams...Ch. 4 - The simple beam AB supports a triangular load of...Ch. 4 - The beam AB shown in the figure supports a uniform...Ch. 4 - A cantilever beam AB supports a couple and a...Ch. 4 - The cantilever beam A B shown in the figure is...Ch. 4 - Beam ABC has simple supports at .A and B. an...Ch. 4 - Beam ABC with an overhang at one end supports a...Ch. 4 - Consider the two beams shown in the figures. Which...Ch. 4 - The three beams in the figure have the same...Ch. 4 - The beam ABC shown in the figure is simply...Ch. 4 - A simple beam AB is loaded by two segments of...Ch. 4 - Two beams (see figure) are loaded the same and...Ch. 4 - The beam A BCD shown in the figure has overhangs...Ch. 4 - A beam ABCD with a vertical arm CE is supported as...Ch. 4 - Beams ABC and CD are supported at A,C, and D and...Ch. 4 - The simple beam ACE shown in the figure is...Ch. 4 - A beam with simple supports is subjected to a...Ch. 4 - A beam of length L is designed to support a...Ch. 4 - The compound beam ABCDE shown in the figure...Ch. 4 - Draw the shear-force and bending-moment diagrams...Ch. 4 - The shear-force diagram for a simple beam is shown...Ch. 4 - The shear-force diagram for a beam is shown in the...Ch. 4 - A compound beam (see figure) has an internal...Ch. 4 - A compound beam (see figure) has an shear release...Ch. 4 - A simple beam AB supports two connected wheel...Ch. 4 - The inclined beam represents a ladder with the...Ch. 4 - Beam ABC is supported by a tie rod CD as shown....Ch. 4 - A plane frame (see figure) consists of column AB...Ch. 4 - The plane frame shown in the figure is part of an...
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
- 12. Figure Q12 shows a prospective design for a conveyor roller system, for transferring crates, one at a time. The system is made up of two parallel rectangular steel beams, built-in at one end and simply supported at the other, with closely spaced rollers mounted in-between, for the crate to pass over. a) Using Macaulay notation, carry out an analysis of the problem and calculate the deflection of the mid-length point of the beams when the crate is centrally located, midway between A and B. State any important assumptions used in your analysis. [20 marks] b) Comment briefly whether this would be the maximum deflection of the beams when the crate is centrally located. 2 m 8 m A Direction of travel Figure Q12 (side view, only one beam visible) Useful information I for each separate beam = 12 ×10 m² E for both beams = 210 GPa Weight of one crate = 800 N [5 marks] Barrow_forward11. A ring (side view shown in Figure Q11) has a circular solid cross-section of 5 mm diameter. The ring itself has a radius of R = 100 mm and a very narrow gap at point A, that allows the two free ends to be pulled apart by forces P, increasing the size of the gap. ○ P A Figure Q11 P a) Show that the total strain energy of the ring due to the applied forces is: U = 3πP²R³ 2EI [12 marks] b) Find the maximum bending stress produced if forces of P = 8 N are applied. [6 marks] c) What minimum force P would cause the material in the ring to yield and at which locations could this yielding begin to occur? Useful information E for the ring material = 75 GPa Oyield for the ring material = 190 MPa [7 marks]arrow_forwardQ2(15 Marks): From Fig. 2, Determine (a) mass equivalent in term x2, (b) stiffness equivalent in term x2, and (c) the natural frequency for the system in term x2. Note: (1) J Cylinder = mcr? J link (2) 2 3 Pulley, mass moment of inertia J Rigid link 1 (mass m₁), rotates with pulley. about O Cylinder, mass m Adherence to the symbols as in the question 152 153 xx(1) Fig. (2) m k₁ nimmunizmu Rigid link 2 (mass m₂)arrow_forward
- Q3-B (7 Marks): A mass (m) is suspended from a spring of stiffness 4000 N/m and is subjected to a harmonic force having an amplitude of 100 N and a frequency of 5 Hz. The amplitude of the forced motion of the mass is observed to be 20 mm. Find the value of mass (m).arrow_forwardFig. (2) Q3-A (8 Marks): An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical direction. It is driven along a road whose elevation varies sinusoidally. The distance from peak to trough is 0.2 m and the distance along the road between the peaks is 35 m. If the natural frequency of the automobile is 2 Hz and the damping ratio of the shock absorbers is 0.15, determine the amplitude of vibration of the automobile at a speed of 60 km/hour 6.18arrow_forward2. Q4(15 Marks): The motor-pump system shown in Fig. 4. is modeled as a rigid bar of mass m=50 kg and mass moment of inertia Jo=100 kg-m. The foundation of the system can be replaced by two springs of stiffness k=500 N/m and k₂-200 N/m and L=1 m. Determine the natural frequencies of the system. Motor, Fig. (4) 1 6(1) Pump C.G. x(1) x₁(1) Base (a) Foundation (b) C.G. m, Jo x2(1)arrow_forward
- Q5(15 marks): Two equal pendulum free to rotate counterclockwise about the x-x axis are couple together by a rubber hose of torsional stiffness K lb.in/rad.as shown in Fig.5. determine the natural frequencies and mode shape for the normal modes of vibration. If L=19.3 in., W=3.86 lb, and k=20 lb.in/rad. Note: J=mL2 X (1) m 2 mc² 2 Xarrow_forwardUniversity of Babylon College of Engineering\Al-Musayab Automobile Engineering Department Final Examination/1st Attempt جامعة بابل Subject: I. C. Engines I Maximum Time: 3 Hours Class: 3rd Date: / / 2023 Answer 07 of the following questions (First Semester) 2022/2023 (1) Choose the correct answer for eight only from below 1- Indicator diagram shows for one complete revolution of crank Maximum mark: 50 Deg. a) variation of kinetic heat in the cylinder. b) variation of pressure head in the cylinder c) variation of kinetic and pressure heat in the cylinder. d) none of the above. 2- A carburetor is used to supply (a) petrol, air and lubricating oil (b) air and diesel (e) petrol and lubricating oil (d) petrol and air. 3- In a four stroke cycle petrol engine, the charge is compressed when a) inlet valve is closed. b) exit valve is closed. c) both inlet and exit valves are closed. d) both inlet and exit valves are open. (8 deg.) 4- For an engine operating on air standard Otto cycle, the…arrow_forward(6) Determine the sizes of fuel orifice to give a 13.5 air fuel ratio, if the venture throat has 3 cm diameter and the pressure drop in the venture is 6.5 cm Hg. The air temperature and pressure at carburetor entrance are 1 bar and 27 °C respectively. The fuel orifice is at the same level as that of the float chamber. Take density of gasoline as (7 deg.) 740 kg/m³ and discharge coefficient as unity. Assume atmospheric pressure to be 76 cm of Hg. (7) A four-cylinder, four-stroke internal combustion engine has a bore of 87 mm. and a stroke of 77 mm. The clearance volume is 17% of the stroke volume and the engine with speed of 2700 rpm. The processes within each cylinder are modeled as an Otto cycle with a pressure of 1 atm and a temperature of 17 °C at the beginning (7 deg.) of compression. The maximum temperature in the cycle is 2717 °C (a) Draw the P-v diagram; label Pressures, Temperatures, Qin, and Qual (b) Calculate the mass of air at the beginning of the cycle (c) Calculate the…arrow_forward
- University of Babylon College of Engineering\Al-Musayab Automobile Engineering Department Final Examination/1st Attempt جامعة بابل Subject: I. C. Engines I Maximum Time: 3 Hours Class: 3rd Date: / / 2023 Answer 07 of the following questions (First Semester) 2022/2023 (1) Choose the correct answer for eight only from below 1- Indicator diagram shows for one complete revolution of crank Maximum mark: 50 Deg. a) variation of kinetic heat in the cylinder. b) variation of pressure head in the cylinder c) variation of kinetic and pressure heat in the cylinder. d) none of the above. 2- A carburetor is used to supply (a) petrol, air and lubricating oil (b) air and diesel (e) petrol and lubricating oil (d) petrol and air. 3- In a four stroke cycle petrol engine, the charge is compressed when a) inlet valve is closed. b) exit valve is closed. c) both inlet and exit valves are closed. d) both inlet and exit valves are open. (8 deg.) 4- For an engine operating on air standard Otto cycle, the…arrow_forward1,1 51 K/s .. زيد عامر اليوم عند 9:34 م ۱۷۲ من ۱۷۳ University of Babylon College of Engineering Al-Musayab Automobile Engineering Department Final Examination/1" Attempt T19:34 Subject: 1. C. Engines I Maximum Time: 3 Hours Class: 3 Date: 1 / 2023 Answer 07 of the following questions (First Semester) 2022/2023 (1) Choose the correct answer for eight only from below 1- Indicator diagram shows for one complete revolution of crank Maximum mark: 50 Deg. a) variation of kinetic heat in the cylinder. b) variation of pressure head in the cylinder e) variation of kinetic and pressure heat in the cylinder, d) none of the above. 2- A carburetor is used to supply (a) petrol, air and lubricating oil (b) air and diesel (c) petrol and lubricating oil (d) petrol and air. 3- In a four stroke cycle petrol engine, the charge is compressed when a) inlet valve is closed. b) exit valve is closed. e) both inlet and exit valves are closed. d) both inlet and exit valves are open. (8 deg.) 4- For an engine…arrow_forward1- Determine the following: 1- RSHF? 2- C.C.C in tons-ref. 3- Mass of supply air? Fresh Spray chilled water S air 100% RH To 34 C db & 26 wbt S Operation fan room I Exhaust air Ti 22 C db & 50% RHarrow_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 on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY