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
Textbook Question
Chapter 6, Problem 6.9.1P
Calculate the distance e from the cent crime of the web of a C 15 x 40 channel section to the shear center 5 (see figure). Note: For purposes of analysis, consider the flanges to be rectangles with thickness teequal to the average flange thickness given in Table F-3(a) in Appendix F.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The equation of the turning moment diagram for the three crank engine and the equation
of the moment required by a machine connected to this engine are given below:
Engine Torque
Machine Torque
T=10000-500 sin (40)
T=10000+2000 sin (20)
N.m
N.m
where
radians is the crank angle from inner dead center and the mean engine speed is
300 rpm. It is required to select a proper flywheel (find the moment of inertia of the flywheel
in kgm2) and then calculate the power of the engine if the total percentage fluctuation of
speed of the flywheel is ±1% of the mean speed. Calculate the angular acceleration of the
flywheel when angle is 45°.
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
Chapter 6 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 6 - A composite beam is constructed using a steel...Ch. 6 - A wood beam is strengthened using two steel plates...Ch. 6 - A composite beam consisting of fiberglass faces...Ch. 6 - A wood beam with cross-sectional dimensions 200 mm...Ch. 6 - A hollow box beam is constructed with webs of...Ch. 6 - A r o lukI f/frm f «m t ub e of ou t sid e d ia...Ch. 6 - A beam with a guided support and 10-ft span...Ch. 6 - A plastic-lined steel pipe has the cross-sectional...Ch. 6 - The cross section of a sand wie h beam consisting...Ch. 6 - The cross section of a sandwich beam consisting of...
Ch. 6 - A bimetallic beam used in a temperature-control...Ch. 6 - A simply supported composite beam 3 m long carries...Ch. 6 - A simply supported wooden I-beam with a 12-ft span...Ch. 6 - -14 A simply supported composite beam with a 3.6 m...Ch. 6 - -15 A composite beam is constructed froma wood...Ch. 6 - A wood beam in a historic theater is reinforced...Ch. 6 - Repeat Problem 6.2-1 but now assume that the steel...Ch. 6 - Repeat Problem 6.2-17 but now use a...Ch. 6 - A sandwich beam having steel faces enclosing a...Ch. 6 - A wood beam 8 in. wide and 12 in. deep (nominal...Ch. 6 - A simple beam of span length 3.2 m carries a...Ch. 6 - A simple beam that is 18 ft long supports a...Ch. 6 - The composite beam shown in the figure is simply...Ch. 6 - The cross section of a beam made of thin strips of...Ch. 6 - Consider the preceding problem if the beam has...Ch. 6 - A simple beam thai is IS ft long supports a...Ch. 6 - The cross section of a composite beam made of...Ch. 6 - A beam is constructed of two angle sections, each...Ch. 6 - The cross section of a bimetallic strip is shown...Ch. 6 - A W 12 x 50 steel wide-flange beam and a segment...Ch. 6 - A reinforced concrete beam (see figure) is acted...Ch. 6 - A reinforced concrete T-beam (see figure) is acted...Ch. 6 - A reinforced concrete slab (see figure) is...Ch. 6 - A wood beam reinforced using two channels is...Ch. 6 - A wood beam reinforced by an aluminum channel...Ch. 6 - A beam with a rectangular cross section supports...Ch. 6 - A wood beam with a rectangular cross section (see...Ch. 6 - Solve the preceding problem for the following...Ch. 6 - A simply supported wide-flange beam of span length...Ch. 6 - Solve the preceding problem using the fol...Ch. 6 - A wood cantilever beam with a rectangular cross...Ch. 6 - Solve the preceding problem for a cantilever beam...Ch. 6 - A 2-m-long cantilever beam is constructed using a...Ch. 6 - A wood beam AB with a rectangular cross section (4...Ch. 6 - A steel beam of I-section (see figure) is simply...Ch. 6 - A cantilever beam with a wide-flange cross section...Ch. 6 - Solve the preceding problem using a W 310 x 129...Ch. 6 - A cantilever beam of W 12 × 14 section and length...Ch. 6 - A cantilever beam built up from two channel...Ch. 6 - A built-Lip I-section steel beam with channels...Ch. 6 - Repeat Problem 6.4-14 but use the configuration of...Ch. 6 - A beam with a channel section is subjected to a...Ch. 6 - A beam with a channel section is subjected to a...Ch. 6 - An angle section with equal legs is subjected to a...Ch. 6 - An angle section with equal legs is subjected to a...Ch. 6 - A beam made up all woun equal leg angles is...Ch. 6 - The Z-section of Example D-7 is subjected to M = 5...Ch. 6 - The cross section of a steel beam is constructed...Ch. 6 - The cross section of a steel beam is shown in the...Ch. 6 - A beam with a semicircular cross section of radius...Ch. 6 - .10 A built-up bourn supporting a condominium...Ch. 6 - Asteelpost (E = 30 × 106 psi) having thickness t =...Ch. 6 - A C 200 x 17.1 channel section has an angle with...Ch. 6 - A cold-formed steel section is made by folding a...Ch. 6 - A simple beam with a W 10 x 30 wide-flange cross...Ch. 6 - Solve the preceding problem for a W 250 × 44.8...Ch. 6 - A beam of wide-flange shape, W 8 x 28, has the...Ch. 6 - Solve the preceding problem for a W 200 × 41,7...Ch. 6 - Calculate the distance e from the cent crime of...Ch. 6 - Calculate the distance e from the centerline of...Ch. 6 - The cross section of an unbalanced wide-flange...Ch. 6 - The cross section of an unbalanced wide-flange...Ch. 6 - The cross section of a channel beam with double...Ch. 6 - The cross section of a slit circular tube of...Ch. 6 - The cross section of a slit square tube of...Ch. 6 - The cross section of a slit rectangular tube of...Ch. 6 - A U-shaped cross section of constant thickness is...Ch. 6 - Derive the following formula for the distance e...Ch. 6 - Derive the following formula for the distance e...Ch. 6 - The cross section of a sign post of constant...Ch. 6 - A cross section in the shape of a circular arc of...Ch. 6 - Determine the shape factor f for a cross section...Ch. 6 - (a) Determine the shape factor/for a hollow...Ch. 6 - A propped cantilever beam of length L = 54 in....Ch. 6 - A steel beam of rectangular cross section is 40 mm...Ch. 6 - .5 Calculate the shape factor j for the...Ch. 6 - Solve the preceding problem for a wide-flange beam...Ch. 6 - Determine the plastic modulus Z and shape...Ch. 6 - Prob. 6.10.8PCh. 6 - Prob. 6.10.9PCh. 6 - Prob. 6.10.10PCh. 6 - A hollow box beam with height h = 16 in,, width h...Ch. 6 - Solve the preceding problem for a box beam with...Ch. 6 - A hollow box beam with height h = 9.5 in., inside...Ch. 6 - Solve the preceding problem for a box beam with...Ch. 6 - The hollow box beam shown in the figure is...Ch. 6 - Prob. 6.10.16PCh. 6 - Prob. 6.10.17PCh. 6 - A singly symmetric beam with a T-section (see...Ch. 6 - A wide-flange beam with an unbalanced cross...Ch. 6 - .20 Determine the plastic moment Mpfor beam having...
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
- I need all the derivations from Bohr's postulates in handwritten formarrow_forward12. 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_forward
- Q2(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_forwardQ3-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_forward
- 2. 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_forwardQ5(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_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_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_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 TRANSVERSE SHEAR in 10 Minutes!! - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=4x0E9yvzfCM;License: Standard Youtube License