Mekanika Bahan

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Balok menerima momen dikedua ujungnya

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Hubungan antara lengkungan, momen dan kekakuan batang

(1)

Dari gambar

(2)

Hubungan antara lengkungan, panjang busur (3)

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Dari persamaan (1),(2) dan (3) diatas (4)

(5)

(6)

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Kecil

,

 Kecil

=0

Maka

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Balok Kantilever beban terpusat

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(7)

(8)

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(9)

(10)

(11)

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Balok Kantilever beban merata

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(12)

(13)

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Nilai C1 dan C2

(14) Subtitusi persamaan (14) ke persamaan (13)

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Balok Kantilever beban momen

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Persamaan menjadi

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Momen yang terjadi

Persamaan lendutan

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Balok Sederhana beban terpusat

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Persamaan putaran sudut

Persamaan lendutan

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- Dititik x = a - Dititik A , x = 0 y=0, C3=C4=0 - Dititik x =

l,

y=0

Persamaan garis elastik

Putaran sudut

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Balok Sederhana beban merata

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Lendutan pada perletakan =0

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Persamaan garis elastik

Lendutan ditengah bentang

Putaran sudut di titik A dan B

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Balok Sederhana beban momen

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Momen

Jadi

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Persamaan garis elastik

dan

Lendutan terbesar terdapat bila

=0

dititik

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The area momen method http://slide pdf.c om/re a de r/full/me ka nika -ba ha n  

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Luas dan titik berat tampang

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Lendutan kantilever dengan beban terpusat

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Putaran sudut pada titik x

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Lendutan dititik x

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Lendutan kantilever dengan beban merata

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Putaran sudut pada titik A

Lendutan dititik A

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Putaran sudut pada titik x

Lendutan dititik x

 

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Lendutan kantilever dengan beban momen

 

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Putaran sudut dan lendutan pada titik A

Putaran sudut dan lendutan pada titik x

 

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Balok sederhana dengan beban terpusat

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Momen x jika dibagi EI menjadi lendutan di titik x

Lintang di x jika dibagi EI menjadi putaran sudut di titik x

 0 ≤ x ≤ a 

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Balok sederhana dengan beban merata

 

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Putaran sudut

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Lendutan dititik x

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 Lendutan dan putaran sudut ditengah bentang

 

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Balok sederhana dengan beban merata

 

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Putaran sudut

 

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Lendutan dx= ae - ce

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Kantilever dengan dua beban terpusat

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Kantilever dengan dua beban merata hanya disebagian bentang

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Balok sederhana punya kantilever dengan beban terpusat

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