A gold-alloy microbeam attached to a silicon wafer behaves like a cantilever beam subjected to a uniform load (see figure). The beam has length L = 27.5 µm and rectangular cross section of width b = 4.0 µm and thickness. The total load on the beam is 17.2 %3D %3D µN. If the deflection at the end of the beam is 2.46 µm, what is the modulus of elasticity Eg of the gold alloy? (Use the formulas of Example 9-2.) PROB. 9.3-6 qL? + qLx 2 M = (9-27) qx? + qLx 2 EN" (9-28) %3D 2 qx (3L2 6EI 3Lx + x2) (9-29) qx2 (6L2 - 4Lx + x²) 24EI V = -- (9-30) qL3 -v(L) : (9-31) %3D 6EI -KL) : 8EI (9-32) %3D %3D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A gold-alloy microbeam attached to a silicon
wafer behaves like a cantilever beam
subjected to a uniform load (see figure). The
beam has length L = 27.5 µm and rectangular
cross section of width b = 4.0 µm and
thickness. The total load on the beam is 17.2
%3D
%3D
µN. If the deflection at the end of the beam is
2.46 µm, what is the modulus of elasticity Eg
of the gold alloy? (Use the formulas of
Example 9-2.)
PROB. 9.3-6
qL?
+ qLx
2
M =
(9-27)
qx?
+ qLx
2
EN"
(9-28)
%3D
2
qx
(3L2
6EI
3Lx + x2)
(9-29)
qx2
(6L2 - 4Lx + x²)
24EI
V = --
(9-30)
qL3
-v(L) :
(9-31)
%3D
6EI
-KL) :
8EI
(9-32)
%3D
%3D
Transcribed Image Text:A gold-alloy microbeam attached to a silicon wafer behaves like a cantilever beam subjected to a uniform load (see figure). The beam has length L = 27.5 µm and rectangular cross section of width b = 4.0 µm and thickness. The total load on the beam is 17.2 %3D %3D µN. If the deflection at the end of the beam is 2.46 µm, what is the modulus of elasticity Eg of the gold alloy? (Use the formulas of Example 9-2.) PROB. 9.3-6 qL? + qLx 2 M = (9-27) qx? + qLx 2 EN" (9-28) %3D 2 qx (3L2 6EI 3Lx + x2) (9-29) qx2 (6L2 - 4Lx + x²) 24EI V = -- (9-30) qL3 -v(L) : (9-31) %3D 6EI -KL) : 8EI (9-32) %3D %3D
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