Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Chapter 6, Problem 6.3.1P
Repeat Problem 6.2-17 but now use a transformed-section approach.
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can you anser this question using figure 1? thank you.
Determination of vertical displacement of Mid-Term Project pipe assembly
Find the vertical displacement at position C in the figure.
800 mm
Pipe inner diameter: 40 mm, Pipe outer diameter: 60 mm
Material: A-36 Steel
600 N
B.
-By the force 600N, the AB part of the pipe is subjected to bending and torsional loads.
BC part is subjected to bending load.
-The energy equation by this load is as follows.
Energy equation by torsional load:
400 mm
T²dx
(U), =
2GJ
Problem:
Energy equation by bending load
a) First, draw a free body diagram and the AB part
Of the bending/torsional load of the BC and
Derive the bending load equation. So
M²dx
(U) =
2EI
By applying it to the high energy formula,
Save energy and make it the same as external energy
Release to find the vertical displacement.
-The sum of the internal energy of 2 energy is as follows.
U=U: +Ub
b) Creo modeling and structural analysis
-Due to energy conservation, the sum of the internal energy U is the external due to the load 600 NGet the…
A bevel gear is attached to a shaft supported by self-aligning bearings at A and B and is driven by a motor. The axial force, radial force, and tangential force are known. Assume the weight of the gear and shaft is negligible and that the bearing at A takes all the thrust load
A) Draw (to scale) axial load, shaft torque, shear force(x-y and x-z), and bending moment(x-y and x-z)diagrams for the shaft
B)Determine the values of axial load and torque along the shaft
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...
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- FIGURE PS-55 25 K 15 K 6 ft 4 ft 3.0K/ft 4 Use the free body diagram pproach shown in Sections 5-3 through 5-5 to determin the internal shearing force and bending moment al any speecified point in a beam. nd bending moneat diagrams using the guidelines pre- sented in Section 5-10.arrow_forwardThe figure shows a cantilevered beam, subjected to a uniformly distributed (rectangular) 40 N/m force along the section DE, a 50 N point force at point C, and a 200 Nm couple moment. a. Write the shear-force and bending-moment equations as a function of distance, x, measured from the leftmost point, A, for the entire beam. b. Using your shear-force and bending-moment equations, calculate the shear force and bending moment at x = 2 m and x = 5 m. 200 N·m A 2.5 m 50 N CV D 1 m 40 N/m ↓↓↓ 2.5 m E B 2 marrow_forwardHi im studying machine design and faced this problems, please help. Thank youarrow_forward
- In order to determine the magnitude of the internal forces, a FBD must be cut. It is difficult to determine where a cut should be made in order to reveal the Maximum Internal Forces, thus we have put the distance to the cut in terms of 'x', and plot the equation. In my lecture we took a generic portion of a Beam and applied equilibrium and saw that Loading, Shear and Moment are related to each through differential equations. Change in Shear is the Area under the Loading diagram. Change in Moment is the Area under the Shear Diagram. Using Graphic Integration draw the shear and moment diagrams for the given beams and loading.arrow_forwardplease solve it completely and stepwiselyarrow_forwardSolve the complex truss below by the method of substitution. See component reactions at the supports . bar force on member ab bar force on member bc bar force on member cd bar force on member de bar force on member ef bar force on member fa bar force on member ad bar force on member be bar force on member cfarrow_forward
- Solve the problem draw the diagram and give the working equation.arrow_forwardFor the structural beam loaded and supported as shown in Figure 2, (a) Draw a free body diagram and find the support reaction forces/moments. (b) Determine the shear force values at the supports and other relevant transition points. Using these, draw the Shear Force Diagram (SFD). (c) Determine the bending moment values at the supports and other relevant transition points and draw the bending moment diagram (BMD). (d) Write the mathematical expressions for shear force and bending moment at a section X-X between the points A and B, which is at a distance x from support A. (e) Find the distance from support A to the position of maximum bending moment and determine the value of Mmax. 2 kN/m 10 kN A B D 5m 3 m 2 m Figure 2 2.arrow_forwardK Page 2 > of 3 2) For the following beam with a rectangular (1" x 2") cross-section, a) find the unknown reactions and draw the shear and bending moment diagrams. Label them properly. b) find the location and magnitudes of maximum normal bending stress and transverse shear stress. c) find the magnitudes of normal bending stress and transverse shear stress due to V at a point of interest located at 0.5" above the neutral axis. (point A) 5" + 300 lbf/in ΤΤΤΙ 5" 400 lbf 1" A N. A. 2" ↓ 20" C 15" MacBook Pro G Search or type URL + Download - Q ZOOM +arrow_forward
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