A gold attached to a silicon wafer behaves like a cantilever beam subjected to a uniform load (see figure). The beam has length L = 27.5 uum and a rectangular cross-section of width b = 4.0 µµm and thickness t 0.88 µum. The total load on the beam is 17.2 µµN and the modulus of elasticity is E = 85 GPa. What is the magnitude of the angle of rotation of the beam at a distance 23 uum from the fixed end? Give your answer in degrees to two decimal places. %3D v = deflection in the y direction (positive upward) V = dv/dx = slope of the deflection curve B 8, = -VL) = deflection at end B of the beam (positive downward)
A gold attached to a silicon wafer behaves like a cantilever beam subjected to a uniform load (see figure). The beam has length L = 27.5 uum and a rectangular cross-section of width b = 4.0 µµm and thickness t 0.88 µum. The total load on the beam is 17.2 µµN and the modulus of elasticity is E = 85 GPa. What is the magnitude of the angle of rotation of the beam at a distance 23 uum from the fixed end? Give your answer in degrees to two decimal places. %3D v = deflection in the y direction (positive upward) V = dv/dx = slope of the deflection curve B 8, = -VL) = deflection at end B of the beam (positive downward)
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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Transcribed Image Text:A gold attached to a silicon wafer behaves like a
cantilever beam subjected to a uniform load (see
figure). The beam has length L = 27.5 µum and a
rectangular cross-section of width b = 4.0 µµm
and thicknesst
0.88 µum. The total load on the
beam is 17.2 µµN and the modulus of elasticity is E
= 85 GPa. What is the magnitude of the angle of
rotation of the beam at a distance 23 uum from
the fixed end? Give your answer in degrees to two
decimal places.
%3D
v = deflection in the y direction (positive upward)
V = dv/dx = slope of the deflection curve
В
8, = -VL) = deflection at end B of the beam (positive downward)
OB
O = -v(L) = angle of rotation at end Bof the beam (positive clockwise)
El = constant
poim
qx?
(6/2 - 4Lx + x)
24EI
gx
(3L2 - 3Lx + x?)
6E
V =
%3D
8EI
6EI
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