A 2 kN/m 1.5 m X B 1.5 m * 3 kN m 1.5 m Figure 1. Beam ABC and its loads. 1.5 m E 200 GPa and I = 55 × 106 mm4 1. Express the internal bending moment function and slope function using the Macaulay functions in terms of x and the unknown support reactions. 2. Express the deflection function using the Macaulay functions in terms of x and the unknown support reactions. 3. Determine all the support reactions and the maximum deflection.

A 2 kN/m 1.5 m X B 1.5 m * 3 kN m 1.5 m Figure 1. Beam ABC and its loads. 1.5 m E 200 GPa and I = 55 × 106 mm4 1. Express the internal bending moment function and slope function using the Macaulay functions in terms of x and the unknown support reactions. 2. Express the deflection function using the Macaulay functions in terms of x and the unknown support reactions. 3. Determine all the support reactions and the maximum deflection.

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

2 kN/m
1.5 m
X
B
1.5 m
3 kN m
*1.5m*
Figure 1. Beam ABC and its loads.
C
1.5 m
E 200 GPa and I = 55 × 106 mm4
1. Express the internal bending
moment function and slope
function using the Macaulay
functions in terms of x and the
unknown support reactions.
2. Express the deflection function
using the Macaulay functions in
terms of x and the unknown
support reactions.
3. Determine all the
support
reactions and the maximum
deflection.

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