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Transformation av spänningar - Tillämpad fysik och elektronik ...

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σx = 9 MP a σy = 3 MP a τxy = 3 √ 3 MP a <br />

<br />

<br />

σ1 = 12MP a Φ1 = 30 ◦ σ2 = 0 Φ2 = 120 ◦<br />

<br />

Mv a h <br />

<br />

σ1 = − Mv<br />

2πa 2 h σ2 = Mv<br />

2πa 2 h σ3 = 0<br />

p <br />

Mv = πpa 3 2a <br />

h <br />

<br />

σ1,2 = (1 ± √ 2) pa<br />

2h Φ1 = 112, 5 ◦ Φ2 = 22, 5 ◦<br />

<br />

p Mv = πpa 3 <br />

a h <br />

<br />

<br />

σ1,2 = (3 ± √ 5) pa<br />

4h Φ1 = 121.7 ◦ Φ2 = 31.7 ◦<br />

<br />

45 ◦ <br />

σu = 330 MP a<br />

Mv = 1.75 kNm<br />

a h <br />

π/9 <br />

<br />

Mv<br />

σ(φ) = Mv<br />

2πa2h sin 40◦ τ(φ) = Mv<br />

2πa2 cos 40◦ h<br />

a <br />

h <br />

Mv <br />

x ρ<br />

σ1,2 = ρgx<br />

2 ±<br />

<br />

( ρgx<br />

2 )2 + ( Mv<br />

2πa2h )2 <br />

τmax = ( ρgx<br />

2 )2 + ( Mv<br />

2πa2h )2

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