Question: a . Show that the second and fourth shape functions N 2 ( e ) ( x ) and N 4 ( e ) (

a. Show that the second and fourth shape functions N2(e)(x) and N4(e)(x) of a 2-node beam element are N2(e)(x)=x-2x2L+x3L2 and N4(e)(x)=-x2L+x3L2
b. Please, derive k12 in stiffness matrix of a beam element 7 Marks
a . Show that the second and fourth shape

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