(a) For the beam and loading shown in Figure 2.1 given that a uniform distributed load, w=2.8 kN/m and a concentrated load, x = 6.1 kN. The Young Modulus, E = 205 GPa. Determine: i. The equation of the elastic curve for the beam ACB. ii. The deflection at the midspan of C. iii. The slope at A.

(a) For the beam and loading shown in Figure 2.1 given that a uniform distributed load, w=2.8 kN/m and a concentrated load, x = 6.1 kN. The Young Modulus, E = 205 GPa. Determine: i. The equation of the elastic curve for the beam ACB. ii. The deflection at the midspan of C. iii. The slope at A.

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

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

(a)
For the beam and loading shown in Figure 2.1 given that a uniform
distributed load, w=2.8 kN/m and a concentrated load, x = 6.1 kN. The
Young Modulus, E = 205 GPa. Determine:
i.
The equation of the elastic curve for the beam ACB.
ii.
The deflection at the midspan of C.
iii.
The slope at A.
x kN
w kN/m
B
1.8 m
1.8 m
0.9 m 0.9 m
Figure 2.1 A beam with a loading

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