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### 05-01ChapGere

Course: EM em319, Spring 2008
School: University of Texas
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Word Count: 4183

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in 5 Stresses Beams (Basic Topics) Longitudinal Strains in Beams Problem 5.4-1 Determine the maximum normal strain max produced in a steel wire of diameter d 1/16 in. when it is bent around a cylindrical drum of radius R 24 in. (see figure). d R Solution 5.4-1 Steel wire R 24 in. d 1 in. 16 R Cylinder d From Eq. (5-4): y emax r d2 d R d 2 2R d Substitute numerical values: emax 1 16 in. 2(24 in.) 1 16 in....

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RPI - PHYS - 1200
1. The magnitude of the force of one particle on the other is given by F = Gm1m2/r2, where m1 and m2 are the masses, r is their separation, and G is the universal gravitational constant. We solve for r:Gm1m2 = r= F( 6.67 10-11N m 2 / kg 2 ) (
RPI - PHYS - 1200
1. The air inside pushes outward with a force given by piA, where pi is the pressure inside the room and A is the area of the window. Similarly, the air on the outside pushes inward with a force given by poA, where po is the pressure outside. The mag
RPI - PHYS - 1200
1. (a) The amplitude is half the range of the displacement, or xm = 1.0 mm. (b) The maximum speed vm is related to the amplitude xm by vm = xm, where is the angular frequency. Since = 2f, where f is the frequency,vm = 2 fxm = 2 (120 Hz ) (1.0 10 -
RPI - PHYS - 1200
1. (a) The motion from maximum displacement to zero is one-fourth of a cycle so 0.170 s is one-fourth of a period. The period is T = 4(0.170 s) = 0.680 s. (b) The frequency is the reciprocal of the period:f = 1 1 = = 1.47 Hz. T 0.680 s(c) A sinuso
RPI - PHYS - 1200
1. The time it takes for a soldier in the rear end of the column to switch from the left to the right foot to stride forward is t = 1 min/120 = 1/120 min = 0.50 s. This is also the time for the sound of the music to reach from the musicians (who are
University of Texas - BIO - 325
23. How does a gene become a merozygote? The Hfr cell has an F factor integrated into its chromosome. The f factor (which is an episome because it can excise itself and integrate itself into the chromosomal DNA) excises itself sloppily, taking some o
University of Texas - BIO - 325
1.23.07 DNA is a polymer, a chain of smaller units, the units are called nucleotides, which have three components Nucleotides: contain a sugar (either deoxyribose or ribose) the defining difference between DNA and RNA (other differences are observed
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University of Texas - M - 408c
University of Texas - M - 427K
- CHAPTER 2. -Chapter TwoSection 2.1 1a+ba,b Based on the direction field, all solutions seem to converge to a specific increasing function. a- b The integrating factor is .a&gt;b oe /\$&gt; , and hence Ca&gt;b oe &gt;\$ &quot;* /#&gt; - /\$&gt; It follows that all s
University of Texas - EM - em319
304CHAPTER 5Stresses in Beams (Basic Topics)Design of BeamsProblem 5.6-1 The cross section of a narrow-gage railway bridge is shown in part (a) of the figure. The bridge is constructed with longitudinal steel girders that support the wood cros
University of Texas - EM - em319
SECTION 5.7Nonprismatic Beams321Nonprismatic BeamsProblem 5.7-1 A tapered cantilever beam AB of length L has square cross sections and supports a concentrated load P at the free end (see figure on the next page). The width and height of the be
University of Texas - EM - em319
338CHAPTER 5Stresses in Beams (Basic Topics)Shear Stresses in Circular BeamsProblem 5.9-1 A wood pole of solid circular cross section (d diameter) is subjected to a horizontal force P 450 lb (see figure). The length of the pole is L 6 ft, and
University of Texas - EM - em319
350CHAPTER 5Stresses in BeamsBuilt-Up BeamsProblem 5.11-1 A prefabricated wood I-beam serving as a floor joist has the cross section shown in the figure. The allowable load in shear for the glued joints between the web and the flanges is 65 lb
University of Texas - EM - em319
SECTION 5.12Beams with Axial Loads363Problem 5.12-10 A flying buttress transmits a load P 25 kN, acting at an angle of 60 to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h 5.0 m and rectang
University of Texas - EM - em319
7Analysis of Stress and StrainPlane StressProblem 7.2-1 An element in plane stress is subjected to stresses 6500 psi, y 1700 psi, and xy 2750 psi, as shown in the x figure. Determine the stresses acting on an element oriented at an angle 60 from
University of Texas - EM - em319
SECTION 7.3Principal Stresses and Maximum Shear Stresses439Problem 7.3-9 A shear wall in a reinforced concrete building is subjected to a vertical uniform load of intensity q and a horizontal force H, as shown in the first part of the figure. (
University of Texas - EM - em319
452CHAPTER 7Analysis of Stress and StrainProblem 7.4-7 An element in pure shear is subjected to stresses 3000 psi, as shown in the figure. xy Using Mohr's circle, determine (a) the stresses acting on an element oriented at a counterclockwise an
University of Texas - EM - em319
466CHAPTER 7Analysis of Stress and StrainProblem 7.5-8 A brass cube 50 mm on each edge is compressed in two perpendicular directions by forces P 175 kN (see figure). Calculate the change V in the volume of the cube and the strain energy U store
University of Texas - EM - em319
9Deflections of BeamsDifferential Equations of the Deflection CurveThe beams described in the problems for Section 9.2 have constant flexural rigidity EI. Problem 9.2-1 The deflection curve for a simple beam AB (see figure) is given by the follow
University of Texas - EM - em319
SECTION 9.4Differential Equations of the Deflection Curve559Differential Equations of the Deflection CurveThe beams described in the problems for Section 9.4 have constant flexural rigidity EI. Also, the origin of coordinates is at the left-ha
University of Texas - EM - em319
SECTION 9.5Method of Superposition571q0Problem 9.5-11 Determine the angle of rotation B and deflection B at the free end of a cantilever beam AB supporting a parabolic load defined by the equation q q0 x 2/L2 (see figure).y ABxLSolut
University of Texas - EM - em319
588CHAPTER 9Deflections of BeamsNonprismatic BeamsProblem 9.7-1 The cantilever beam ACB shown in the figure has moments of inertia I2 and I1 in parts AC and CB, respectively. (a) Using the method of superposition, determine the deflection B at
University of Texas - EM - em319
SECTION 9.9Castigliano's Theorem601Castigliano's TheoremThe beams described in the problems for Section 9.9 have constant flexural rigidity EI. Problem 9.9-1 A simple beam AB of length L is loaded at the left-hand end by a couple of moment M0
University of Texas - EM - em319
SECTION 9.11Representation of Loads on Beams by Discontinuity Functions615Representation of Loads on Beams by Discontinuity FunctionsProblem 9.11-1 through 9.11-12 A beam and its loading are shown in the figure. Using discontinuity functions,
University of Texas - EM - em319
11 #Columns Chapter TitleIdealized Buckling ModelsProblem 11.2-1 through 11.2-4 The figure shows an idealized structure consisting of one or more rigid bars with pinned connections and linearly elastic springs. Rotational stiffness is denoted R a
University of Texas - EM - em319
682CHAPTER 11ColumnsColumns with Other Support ConditionsThe problems for Section 11.4 are to be solved using the assumptions of ideal, slender, prismatic, linearly elastic columns (Euler buckling). Buckling occurs in the plane of the figure u
University of Texas - EM - em319
SECTION 11.9Design Formulas for Columns711Problem 11.9-9 Determine the allowable axial load Pallow for a steel pipe column that is fixed at the base and free at the top (see figure) for each of the following lengths: L 6 ft, 9 ft, 12 ft, and 15
University of Texas - EM - em319
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University of Texas - EM - em319
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University of Texas - M - 427K
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University of Texas - M - 427K
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University of Texas - M - 427K
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Maryland - ENCE - 320
Chapter 10 Recall our discussions on incapacitation-what does it mean? o Depriving an offender of the ability to commit crimes against society, usually by detaining the offender in prison Be able to discern the differences between mandatory sentences
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Clarkson - ES - 220
Clarkson - ES - 220
Clarkson - ES - 220
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Clarkson - ES - 220
Clarkson - ES - 220
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Johns Hopkins - PHYS - 171.101
1. The number of atoms per unit volume is given by n = d / M , where d is the mass density of copper and M is the mass of a single copper atom. Since each atom contributes one conduction electron, n is also the number of conduction electrons per unit
Johns Hopkins - PHYS - 171.101
1. With speed v = 11200 m/s, we findK= 1 2 1 mv = (2.9 105 ) (11200) 2 = 18 1013 J. . 2 22. (a) The change in kinetic energy for the meteorite would be1 1 K = K f - K i = - K i = - mi vi2 = - 4 106 kg 15 103 m/s 2 2()()2= -5 1014 J
Johns Hopkins - PHYS - 171.101
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Johns Hopkins - PHYS - 171.101
1. The air inside pushes outward with a force given by piA, where pi is the pressure inside the room and A is the area of the window. Similarly, the air on the outside pushes inward with a force given by poA, where po is the pressure outside. The mag
Johns Hopkins - PHYS - 171.101
1. The x and the y components of a vector a lying on the xy plane are given byax = a cos , a y = a sin where a =| a | is the magnitude and is the angle between a and the positive x axis. (a) The x component of a is given by ax = 7.3 cos 250 = 2