A 1D two-node bar element as shown below is considered. The displacement of node 1 is q₁=0.002 mm, and the displacement of point p is qp=0.013 mm. Using 1D linear shape functions, determine the displacement of nodo

A 1D two-node bar element as shown below is considered. The displacement of node 1 is q₁=0.002 mm, and the displacement of point p is qp=0.013 mm. Using 1D linear shape functions, determine the displacement of nodo

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

of node 1 is 9₁=0.002 mm, and the
displacement of point p is qp=0.013
mm. Using 1D linear shape functions,
determine the displacement of node 2
(92) in mm?
Hint: round off your final
answer to 5 decimal places; e.g.
if
your answer is 1.2345678,
then rounding-off to 5 decimal
places yields 1.23457 and that
is the value which you need to
type in the answer box.
1
X₁ = = 10 mm.
P
Xp = 15 mm.

A 1D two-node bar element as shown
below is considered. The displacement
of node 1 is q₁=0.002 mm, and the
displacement of point pis qp=0.013
mm. Using 1D linear shape functions,
determine the displacement of node 2
(92) in mm?
Hint: round off your final
answer to 5 decimal places; e.g.
if your answer is 1.2345678,
then rounding-off to 5 decimal
places yields 1.23457 and that
is the value which you need to
type in the answer box.
1
P

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