Analyse the statically indeterminate bar illustrated below by integrating the governing differential equation to find the axial force and displacements, applying the boundary conditions appropriately. Find the axial force and the displacement at point A. The cross section of the bar is constant with EA = 18000 kN. a = 2 m, b = 1 m, c = 4 m and d = 3 m. w = 15 kN/m, P = 18 kN. The bar is also subjected to a temperature increase at the time the load is applied. This temperature change varies linearly along the length of the bar and is T1 = 20 *C at the left hand end of the bar and T2 = 54 *C at the right hand end (the coefficient of thermal expansion at at = 1.20e-6 *C-1). The support indicated undergoes a prescribed displacement of u = 0.008 m.

Analyse the statically indeterminate bar illustrated below by integrating the governing differential equation to find the axial force and displacements, applying the boundary conditions appropriately. Find the axial force and the displacement at point A. The cross section of the bar is constant with EA = 18000 kN. a = 2 m, b = 1 m, c = 4 m and d = 3 m. w = 15 kN/m, P = 18 kN. The bar is also subjected to a temperature increase at the time the load is applied. This temperature change varies linearly along the length of the bar and is T1 = 20 C at the left hand end of the bar and T2 = 54 C at the right hand end (the coefficient of thermal expansion at at = 1.20e-6 *C-1). The support indicated undergoes a prescribed displacement of u = 0.008 m.

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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Question

Analyse the statically indeterminate bar illustrated below by integrating the governing differential equation to find
the axial force and displacements, applying the boundary conditions appropriately. Find the axial force and the
displacement at point A.
The cross section of the bar is constant with EA = 18000 kN. a = 2 m, b = 1 m, c = 4 m and d = 3 m. w = 15
kN/m, P = 18 kN. The bar is also subjected to a temperature increase at the time the load is applied. This
temperature change varies linearly along the length of the bar and is T1 = 20 *C at the left hand end of the
bar and T2 = 54 *C at the right hand end (the coefficient of thermal expansion at at = 1.20e-6 *C-1). The
support indicated undergoes a prescribed displacement of u = 0.008 m.
T1
T2
L/2
A
L/2
a
b
Multiple Choice Answers
Multiple Choice Answer: Axial force at point A (kN, tension positive):
a. -13.55
b. -5.57
C. -14.01
d. -0.35
Multiple Choice Answer: Displacement at point A (m, positive to right):
a. 0.0082
b. 0.0117
c. 0.0115
d. 0.0065

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