Yapı 1

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Yıldız Teknik Üniversitesi

Yapı Stati i II

UYGULAMA 1

ekilde görülen sistemde; verilen yükleme için δ1 , δ 2 , ϕ 2 , ϕ B de erlerini hesaplayınız.

40 kN/m B

A

1

E = 3 ⋅ 10 7 kN/m 2 ; I = 30 ⋅ 10 -4 m 4 ; EA ≈ GA ' ≈ ∞

2m

2 3m

5m

(a) δ1 = ?

(M)

q

2

8 =500

1 2 8 ⋅ 10 ⋅ (1 + ⋅ ) ⋅ 1,6 ⋅ 500 EI 3 10 10 δ1 = 0,0344m δ1 =

P = 1kN

(M) 1,6

δ2 = ? (M)

q

2

8 =500

1 5 5 ⋅ 10 ⋅ (1 + ⋅ ) ⋅ 2,5 ⋅ 500 EI 3 10 10 δ 2 = 0,0579m δ2 =

P = 1kN

(M)

2,5

Uygulama 1

1

Grup 1&4

Yıldız Teknik Üniversitesi

Yapı Stati i II

ϕ2 = ? (M)

q

2

8 =500

5 5 ⋅ 5 ⋅ 0,5 ⋅ 500 EI + ⋅ 5 ⋅ (−0,5) ⋅ 500 EI 12 12 ϕ2 = 0 ϕ2 =

0,5 (M)

P = 1kNm

0,5

ϕB = ?

(M)

q

2

8 =500

1 ϕ B = ⋅10 ⋅1 ⋅ 500 EI = 0,0556rad 3

P = 1kNm

(M) 1

Uygulama 1

2

Grup 1&4

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