Problem#1 Given: The uniaxial bar shown below is homogeneous, prismatic and has an evenly distributed axial load of p = p =constant applied along its length as shown. y E=constant Left end is fixed (u(x=0)=D0) -> A=constant Required: 1) Using uniaxial bar theory, derive an expression for each of the following: a) P= P(x, p) b) o = 0(x, p,, A, L,E) c) 6 = 6(x, p, A,L,E) d) u = u(x, p, A, L, E)

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Sizing Joists and Rafters

In civil engineering and building construction, joists and rafters are the major components including beams and columns. Almost every structural construction including buildings, skyscrapers, bridges, commercial complexes, and so on makes use of joists and rafters to provide structural integrity to the building. Joists are primarily thick long pieces of metals, concrete, or wood that are used to support the floor and ceiling. On the other hand, rafters form the major component of pitched roofs, which are a series of sloped long pieces extending from a ridged area that makes contact with the plane area of the wall. They account for the load-bearing of the building along with the beams.