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Foxborough is a town in Massachusetts, approximately 22 miles away from the state capital, Boston. The town lies along at the intersections of Interstates 95 and 495.
Its residents refer to it as ‘the Gem of Norfolk County”. The official spelling of the town is ‘Foxborough’, however, ‘Foxboro’ is also commonly used as well. The town has a total area of 20.9 square miles of which 3.88% is water.
The town is known for being the home of the New England Patriots of the National Football League. The Gillette Stadium accommodates their training and matches.
European immigrants first settled Foxboroughin 1704. It got incorporated in 1778 and was named for Charles James Fox, a supporter of the Colonies before the American Revolution, and a Whig member of the Parliament.
Foxborough consisted of different neighborhoods until the early 1900’s. These were: Foxvale/Paineburgh, Quaker Hill, and Lakeview/Donkeyville.
As far as the early industry is concerned, one of the world’s largest straw hat factories, the Union Straw Works was founded in Foxborough by E.P. Carpenter. The prosperous ages were ended by a disaster when the factory burned down in the early 20th century.
As of the census of 2000, there were 16,246 residents in Foxborough. This number included 6,141 households and 4,396 families in the town. The population density of Foxborough was 809.1 people per square mile.
The population in 2000 was spread out with 26.5% under the age of 18, 5% between the ages of 18 and 24, 32.1% between the ages of 25 and 44, 24.5% between the ages of 45 and 64, and 11.9% of 65 years or older. At the time of the census, the median age was 38.
The median income in Foxborough was $64,323 per household and $78,811 per family. Based on the most recent data of the American Community Survey 5-Year Estimates these numbers have risen to $92,370 for households and $108,209 for families. The per capita income was $32,294 at the time of the census, but this has risen too, to $42,236. Approximately, 3.1% of the total population was below the poverty line in 2000.
Foxborough uses the open Town Meeting form of government. This means that the Legislativebranchis represented by an annual Open Town Meeting than anyone can attend, but only registered voters may vote. The executive branchis represented by the five-member board of selectmen, and other officials that help their work in day-to-day matters.
The Foxborough Public Schools runs grades from pre-school to grade 12, with an enrollment of 3000 students. There are three public elementary school is the town. These are the Charles G. Taylor School, The Vincent M. Igo School, and the Mabelle M. Burrell School. Students can continue their studies at the John J. Ahern Middle School from fifth through eighth grades, then in the Foxborough High School. Children can also select from the Foxborough Regional Charter School, or the Sage School that are both private schooling options.
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Therefore the amount of the deformation in any fiber varies directly with its vertical distance from the fiber which remains unchanged in length (Fig. Og). This makes possible the drawing of the strain diagram for the fibers at the section mn (Fig. 9d) which will be a continuous straight line crossing the section at an unknown distance (x) from the top. Experiment has also shown that within the elastic limit of the material there is a fixed relation between strain and stress that stress (pounds per square inch) strain (inches per inch) a constant named the modulus of elasticity (pounds per square inch) or in the usual notation E = 1. It is also true that for timber and steel the modulus of elasticity in compression may be taken as equal to that in tension. It is now possible to draw the stress diagram (Fig. 9e) each abscissa of the strain curve being multiplied by E to obtain that of the stress diagram with the result that it also is a straight line (bcd). The compressive fiber stress on the section, therefore, is represented by the solid seen in side elevation as abc (compare •Fig. 9h) and the tensile force by that projected as cde. Since the total compression equals the total tension, area abc = area dcc.
Since the angles at c are equal ab = de and x = ac = ce = or, in words, the maximum unit compressive stress equals the maximum unit tensile stress and the neutral fiber is at mid-depth. This is a very important fact to keep in mind; that the neutral axis (which is the trace of the neutral plane with the plane of a right section) passes through the center of gravity (or centered) of the cross-section. The resultant compression and the resultant tension evidently act through the cancroids of the triangles by which they are respectively represented and the lever aim of the resisting moment couple equals a = 23 h.
The total compression equals the average compressive unit stress multiplied by the area over which the compression acts; thus G= T=fXbXh and the resisting moment equals MR=G.a=T.a=fXbXhX=*fbh2, which is the familiar expression derived by substituting the values for a rectangular cross-section in the general form of the relation, M=i. The moment of resistance (the couple formed by the internal fiber stresses) developed at any section of a beam equals the bending moment (the moment of the external forces acting on the beam to the right or to the left of the section) at that section, and so the expression BM = MR = *fbh2 gives a direct relation between the maximum fiber stress in a beam and the external loads, making it possible to proportion and investigate rectangular homogeneous beams so far as normal stress is concerned. The problem of shearing stress will be studied later. A beam of plain concrete breaks under very small load on account of the weakness of the concrete in tension. Reinforced with steel rods as shown in Fig. 10 it will carry much more, the concrete cracking at the same load as though unreinforced but failure being prevented by the steel. These cracks usually appear somewhat as shown in the figure, inclined more and more toward the end of the beam.
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