Hw5

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H.W(5) Problem (5.1): Givens: and Required: [Q] , [S] , [ ] and [ ] Solution: = = 0.03 Δ= 1- = 1-(0.3*0.03) = 0.991 [ [ ] = [ ] [S] = [ ] = [ ] [ ] = [ ] = [ ] [ ] = [ ] = [ ] Problem (5.2): Givens: θ = 60 , , and Required: safety factor

Transcript of Hw5

Page 1: Hw5

H.W(5)

Problem (5.1):

Givens: and

Required: [Q] , [S] , [ ] and [ ]

Solution:

=

= 0.03

Δ= 1- = 1-(0.3*0.03) = 0.991

[ [

] = [

]

[S] = [ ] = [

]

[ ] = [

] = [

]

[ ] = [ ] = [

]

Problem (5.2):

Givens: θ = 60 , , and

Required: safety factor

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Solution:

Cos(θ) = C = 0.5 and Sin(θ) = S = 0.866

[T] = [

] = [

]

[

] = [T]*[

] = [

]

From table 1.1 using material carbon epoxy (AS4\3501-6)

and and

By comparing results:

And and

so, F.S =

=

= 8.656

Problem (5.3):

Given: θ = 45 Cos(θ) = C = 0.707 and Sin(θ) = S = 0.707

Required: [ ̅]

[T] = [

] = [

]

[ ̅] = [ ]*[Q]*[T] = [

]

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Problem (5.4):

Given: θ = 90 Cos(θ) = C = 0 and Sin(θ) = S = 1

[T] = [

] = [

]

[ ̅] = [ ]*[Q]*[T] = [

]