1
=1 K A B 1,75 7,0 7,0 x x’ 4,667 9,333 7,0 Σ =0 ⇒ − + =0 = = 0 ; =0 = 14 ; =1 Σ =0 ⇒ =0 = = 0 ; =0 = 14 ; =1 = = ∙ 9,333 = 0 ; =0 = 14 ; = 9,333 = 4,666 ; = 3,111 = = ∙ 4,666 ′ = 0 ; =0 ′= 14 ; = 4,666 ′= 9,333 ; = 3,111 = = ′ = 0 ; =0 ′ = 14 ; =1 ′= 9,333 ; = 0,666 = =− = 0 ; =0 = 14 ; = −1 = 4,666 ; = −0,333 Të dhënat: L = 14,0 m xK = 2L/3 = 4,666 m xK’ = L/3 = 9,333 m MK Dega e majtë: Dega e djathtë: TK Dega e majtë: Dega e djathtë: B v A v 1,0 V.N.”AVV.N.”BV1,0 3,111 0,333 0,666 V.N.”MKV.N.”TK+ _ + + +

Statika e konstruksioneve 1 - Detyra 2

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Page 1: Statika e konstruksioneve 1 - Detyra 2

𝑃 = 1

K

A B

1,75 7,0 7,0

x x’

4,667 9,333

7,0

Σ 𝑀𝐵 = 0 ⇒ −𝐴𝑉 ∙ 𝐿 + 𝑃 ∙ 𝑥′ = 0

𝐴𝑉 =𝑥′

𝐿

𝑥′ = 0 ; 𝐴𝑉 = 0

𝑥′ = 14 ; 𝐴𝑉 = 1

Σ 𝑀𝐴 = 0 ⇒ 𝐵𝑉 ∙ 𝐿 − 𝑃 ∙ 𝑥 = 0

𝐵𝑉 =𝑥

𝐿

𝑥 = 0 ; 𝐵𝑉 = 0𝑥 = 14 ; 𝐵𝑉 = 1

𝑀𝐾 = 𝐵𝑉 ∙ 𝑥𝐾′ =

𝑥

𝐿∙ 9,333

𝑥 = 0 ; 𝑀𝐾 = 0

𝑥 = 14 ; 𝑀𝐾 = 9,333𝑥 = 4,666 ; 𝑀𝐾 = 3,111

𝑀𝐾 = 𝐴𝑉 ∙ 𝑥𝐾 =𝑥′

𝐿∙ 4,666

𝑥′ = 0 ; 𝑀𝐾 = 0

𝑥′ = 14 ; 𝑀𝐾 = 4,666

𝑥′ = 9,333 ; 𝑀𝐾 = 3,111

𝑇𝐾 = 𝐴𝑉 =𝑥′

𝐿

𝑥′ = 0 ; 𝑀𝐾 = 0

𝑥′ = 14 ; 𝑀𝐾 = 1

𝑥′ = 9,333 ; 𝑀𝐾 = 0,666

𝑇𝐾 = −𝐵𝑉 = −𝑥

𝐿

𝑥 = 0 ; 𝑀𝐾 = 0

𝑥 = 14 ; 𝑀𝐾 = −1𝑥 = 4,666 ; 𝑀𝐾 = −0,333

Të dhënat:

L = 14,0 m

xK = 2L/3 = 4,666 m

xK’ = L/3 = 9,333 m

MK

Dega e majtë:

Dega e djathtë:

TK

Dega e majtë:

Dega e djathtë:

Bv

Av

1,0

V.N.”AV”

V.N.”BV”

1,0

3,111

0,333

0,666

V.N.”MK”

V.N.”TK”

+

_

+

+

+