A typhoon weakened the streetlight's foundation to the point that it could no longer sustain the streetlight's rotation. A supporting bracket was installed just in time to save the structure from collapsing. An L-shaped RUZ, is supported by pin at Z. Symbolically, the bracket may be thought of as a bar with a pin connection at S and a pin support at W, but its orientation is uncertain. There is a weight of 100 N exerted at point R. In addition, let's assume that the 50kN weight of the lamp post is located at S for the sake of this study (in computations, consider the 50kN force to act at RUZ). 100 N R S 0.9m 50 KN a Im 0.85m 1.4m 0.2m Figure 1: Representation of the Lamp Post with Bracket Figure 2: Detailing of the Pin Support at W Find: a. Support reactions at W and Z and internal force of member SW b. Internal moment and forces on section a-a' c. Consider that you want to evaluate a very short segment of length AL that runs along the middle of bar SW. Note that G is 75 gigapascals, while E is 185 gigapascals. What is the deformation along x, y and z in terms of AL? Take the case of linear-elastic behavior.

A typhoon weakened the streetlight's foundation to the point that it could no longer sustain the streetlight's rotation. A supporting bracket was installed just in time to save the structure from collapsing. An L-shaped RUZ, is supported by pin at Z. Symbolically, the bracket may be thought of as a bar with a pin connection at S and a pin support at W, but its orientation is uncertain. There is a weight of 100 N exerted at point R. In addition, let's assume that the 50kN weight of the lamp post is located at S for the sake of this study (in computations, consider the 50kN force to act at RUZ). 100 N R S 0.9m 50 KN a Im 0.85m 1.4m 0.2m Figure 1: Representation of the Lamp Post with Bracket Figure 2: Detailing of the Pin Support at W Find: a. Support reactions at W and Z and internal force of member SW b. Internal moment and forces on section a-a' c. Consider that you want to evaluate a very short segment of length AL that runs along the middle of bar SW. Note that G is 75 gigapascals, while E is 185 gigapascals. What is the deformation along x, y and z in terms of AL? Take the case of linear-elastic behavior.

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 typhoon weakened the streetlight's foundation to the point that it could no longer sustain the
streetlight's rotation. A supporting bracket was installed just in time to save the structure from
collapsing. An L-shaped RUZ, is supported by pin at Z. Symbolically, the bracket may be thought of as a
bar with a pin connection at S and a pin support at W, but its orientation is uncertain. There is a weight
of 100 N exerted at point R. In addition, let's assume that the 50kN weight of the lamp post is located at
S for the sake of this study (in computations, consider the 50kN force to act at RUZ).
100 N
R
20
U
Find:
a..
S
50 kN
a'
Z
0.9m
1m
W
0.85m
1.4m
0.2m
Figure 1: Representation of the
Lamp Post with Bracket
1161
Figure 2: Detailing of the Pin Support at W
a. Support reactions at W and Z and internal force of member SW
b. Internal moment and forces on section a-a'
C.
Consider that you want to evaluate a very short segment of length AL that runs along the middle
of bar SW. Note that G is 75 gigapascals, while E is 185 gigapascals. What is the deformation
along x, y and z in terms of AL? Take the case of linear-elastic behavior.

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