prob_07_01_01 - Problem 7.1-1 Given: Derive the shape...

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Problem 7.1-1 Given: Derive the shape function of Eq. 7.101 by starting with φ =a 1 +a 2 r+a 3 s and applying the "[A] matrix procedure." Solution: ϕ 1rs () a 1 a 2 a 3 = ϕ 1 ϕ 2 ϕ 3 1 1 1 0 1 0 0 0 1 a 1 a 2 a 3 = A 1 1 1 0 1 0 0 0 1 := A 1 1 1 1 0 1 0 0 0 1 = a 1 a 2 a 3 A 1 ϕ 1 ϕ 2 ϕ 3 =
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