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Question: A steel bar of 25 in length and cross-section area decreases linearly from 30 in² to 10 in². Given: F= 400 kip q=0.2(1-\frac{x}{L}) kip/in The Differential equation of this problem is given by: \frac{-d}{dx}(EA(x)\frac{du}{dx}) - q(x) = 0 0<x<L E= 30 x10? psi A(x) is the cross-sectional area q(x) is the intensity of the axial distributed load 1) Give the approximate functions for a quadratic element 2) Give the elementary stiffness matrix for a quadratic element 3) Given the elementary load vector for a quadratic element.

          Question: A steel bar of 25 in length and cross-section
area decreases linearly from 30 in² to 10 in².
Given: F= 400 kip
q=0.2(1-\frac{x}{L}) kip/in
The Differential equation of this problem is given
by: \frac{-d}{dx}(EA(x)\frac{du}{dx}) - q(x) = 0  0<x<L
E= 30 x10? psi
A(x) is the cross-sectional area
q(x) is the intensity of the axial distributed load
1) Give the approximate functions for a quadratic
element
2) Give the elementary stiffness matrix for
a quadratic element
3) Given the elementary load vector for a
quadratic element.

Question: A steel bar of 25 in length and cross-section
area decreases linearly from 30 in² to 10 in².
Given: F= 400 kip
q=0.2(1-(x)/(L)) kip/in
The Differential equation of this problem is given
by: (-d)/(dx)(EA(x)(du)/(dx)) - q(x) = 0 0<x<L
E= 30 x10? psi
A(x) is the cross-sectional area
q(x) is the intensity of the axial distributed load
1) Give the approximate functions for a quadratic
element
2) Give the elementary stiffness matrix for
a quadratic element
3) Given the elementary load vector for a
quadratic element.

Added by Benjamin A.

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