using equation 1 solve equations 2 and 3, show me in detail how to get the value solving equaion. how to use equation 1 to solve equations 2 and 3.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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using equation 1 solve equations 2 and 3, show me in detail how to get the value solving equaion. how to use equation 1 to solve equations 2 and 3.

50
Normal and Shear Strains: With 0,
0°, 0b
= 60°, and 6.
= -60°, we have
Ea = Ex
cos?
Oa + €y
sin? Oa + Yxy sin 0a cos 0a
-250(10-0) = Ex
cos? 0°
sin? 0° + yry sin 0° cos 0°
-E006)
Ey
288.68
LR=35919
€x = -250(10-6)
A
Eb = €x cos O, + €, sin? O + Yxy sin 0, cos 0p
250
300(10-6) = -250(10-6) cos² 60° +
Ey
sin? 60° + Yxy
sin 60° cos 60°
0.75€, + 0.43301yxy = 362.5(10-6)
(1)
Ec = Ex
cos? 0. +
Ey
sin?
0. +
Yxy
sin 0, cos 0.
(a)
-200(10-6) = -250(10-6) cos? (-60°) +
Ey
sin? (-60°) +
sin (-60°) cos (-60°)
Yxy
0.75€, – 0.43301yxy = -137.5(10-6)
(2)
Solving Eqs. (1) and (2), we obtain
Ey
150(10-6)
Yxy
577.35(10
Transcribed Image Text:50 Normal and Shear Strains: With 0, 0°, 0b = 60°, and 6. = -60°, we have Ea = Ex cos? Oa + €y sin? Oa + Yxy sin 0a cos 0a -250(10-0) = Ex cos? 0° sin? 0° + yry sin 0° cos 0° -E006) Ey 288.68 LR=35919 €x = -250(10-6) A Eb = €x cos O, + €, sin? O + Yxy sin 0, cos 0p 250 300(10-6) = -250(10-6) cos² 60° + Ey sin? 60° + Yxy sin 60° cos 60° 0.75€, + 0.43301yxy = 362.5(10-6) (1) Ec = Ex cos? 0. + Ey sin? 0. + Yxy sin 0, cos 0. (a) -200(10-6) = -250(10-6) cos? (-60°) + Ey sin? (-60°) + sin (-60°) cos (-60°) Yxy 0.75€, – 0.43301yxy = -137.5(10-6) (2) Solving Eqs. (1) and (2), we obtain Ey 150(10-6) Yxy 577.35(10
Step 1
Using formula
e,=e,cos*0+ e ysin*o +Y xycos®sin®
- 250 x 10-0=e,cos°0+e,sin°0+y „cos0sin0
ху
Ex= - 250x 10-6
e,=e,cos*0 + e ,sin²e + „cos®sin®
- 300x 10-6=(- 250×10-6) cos²60+e,sin²60+y „cos60sin60
3e,+ V3y xy= – 950× 10-6
Ec=e,cos*0+ e,„sin²0+y „cosOsin®
- 200x 10-6=(– 250×10-6) cos?300+€,sin?300+y,„cos300sin300
3e,- /3Y=- 550× 10-6
E,= - 250x 10-6
Yxy =- 115x 1o-6
Transcribed Image Text:Step 1 Using formula e,=e,cos*0+ e ysin*o +Y xycos®sin® - 250 x 10-0=e,cos°0+e,sin°0+y „cos0sin0 ху Ex= - 250x 10-6 e,=e,cos*0 + e ,sin²e + „cos®sin® - 300x 10-6=(- 250×10-6) cos²60+e,sin²60+y „cos60sin60 3e,+ V3y xy= – 950× 10-6 Ec=e,cos*0+ e,„sin²0+y „cosOsin® - 200x 10-6=(– 250×10-6) cos?300+€,sin?300+y,„cos300sin300 3e,- /3Y=- 550× 10-6 E,= - 250x 10-6 Yxy =- 115x 1o-6
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