Determine the nodal displacements at node 1, node 2, and node 3 as shown in the figure. One end of the bar assembly is applied with force and at the other end is fixed. The length of each element is 500 mm. The modulus of elasticity and area of the cross-section is given, E, = 200 GPa and A =125 mm² for element 1 and E, =100 GPa and A, = 125 mm? element 2. 1 2 2 3 50 kN 500 mm 500 mm (А) и, — 0, и, = 0,u, =3 mm,uz = 9 mm (B) и, — 0, и, = 2 mm,u, =6 mm (С) и, = 0,u, =1 mm, u, = 3 mm (D) u, = 0,u, = 0.5 mm,u, =3 mm

Determine the nodal displacements at node 1, node 2, and node 3 as shown in the figure. One end of the bar assembly is applied with force and at the other end is fixed. The length of each element is 500 mm. The modulus of elasticity and area of the cross-section is given, E, = 200 GPa and A =125 mm² for element 1 and E, =100 GPa and A, = 125 mm? element 2. 1 2 2 3 50 kN 500 mm 500 mm (А) и, — 0, и, = 0,u, =3 mm,uz = 9 mm (B) и, — 0, и, = 2 mm,u, =6 mm (С) и, = 0,u, =1 mm, u, = 3 mm (D) u, = 0,u, = 0.5 mm,u, =3 mm

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

100%

Determine the nodal displacements at node 1, node 2, and node 3 as shown in the figure.
One end of the bar assembly is applied with force and at the other end is fixed. The length
of each element is 500 mm. The modulus of elasticity and area of the cross-section is given,
E, = 200 GPa and A =125 mm² for element 1 and E, =100 GPa and A, = 125 mm?
element 2.
1
2
2
3
50 kN
500 mm
500 mm
(А) и, — 0, и,
= 0,u, =3 mm,uz
= 9 mm
(B) и, — 0, и,
=
2 mm,u, =6 mm
(С) и,
= 0,u, =1 mm, u, = 3 mm
(D) u, = 0,u, = 0.5 mm,u, =3 mm

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