(a) the deformation of segment (2). (b) the deflection of joint D with respect to the fixed support at A. (c) the maximum normal stress in the entire axial member. (d) What type of changes the design do you suggest to reduce the deflection on joint D calculated in section (ii). Explain your answer.

(a) the deformation of segment (2). (b) the deflection of joint D with respect to the fixed support at A. (c) the maximum normal stress in the entire axial member. (d) What type of changes the design do you suggest to reduce the deflection on joint D calculated in section (ii). Explain your answer.

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

1- A solid brass axial member with elastic modulus of E = 100 GPa, is loaded and supported
as shown in the figure bellow. Segments (1) and (2) each have a diameter of 25 mm and
segment (3) has a diameter of 14 mm. Determine:
(a) the deformation of segment (2).
(b) the deflection of joint D with respect to the fixed support at A.
(c) the maximum normal stress in the entire axial member.
(d) What type of changes the design do you suggest to reduce the deflection on joint D calculated
in section (ii). Explain your answer.
1.8 m
1.2 m
1.6 m
(1) A
40 KN
(3)
B
D
C
14 kN
28 kN

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Step 1: Draw the free body diagram for each segment.

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Step 2: Calculate the reaction force at A using first figure.

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Step 3: Calculate the reaction force at B using second figure.

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Step 4: Calculate the reaction force at C using fourth figure.

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Step 5: Calculate the deformation in segment 1 and 3.

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