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Derive the step function for ID linear element in natural co-ordintaes.

Mumbai University > Mechanical Engineering > Sem 6 > Finite Element Analysis

Marks: 5M

Year: Dec 2016

1 Answer
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derivetion of shape function for 1-d linear element ;

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let ϕ=A(ξ+1)(ξ1)

At node 1, from (\xi+1) vanishen

ϕ=A(ξ1)

At node :ξ=1andϕ1=1

1=A(2)

A=12

ϕ1=12(ξ1)=12(1ξ)

similarly At node 2, from (ξ1) vanishen

ϕ2=(ξ+1)

At node …

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