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CONTOH SOAL BAHASA INDONESIA PAKET 1Deskripsi lengkap
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Carilah Reaksi Perletakan dengan Cara Grafis dan Analitis untuk gambar dibawah ini kemu hitung dan gambar Bidang D (lintang), N (normal), dan M (moment).
Soal No. 1 UAS Mektek I PENYELESAIAN
Mencari Reaksi Secara Analitis: ΣMB = 0 • • • • • • •
R A x 9.5m – P1 x Sin 45° x 8m – P2 x 5m – q x 1½m – q x ½m = 0 9.5R A – 3.6t x ½√2 x 8m – 2.6t x 5m – 1.6t x 1½m – 1.6t x ½m = 0 9.5R A – 3.6t x ½√2 x 8m – 2.6t x 5m – 1.6t x 1½m – 1.6t x ½m = 0 9.5 R A – 20.36 – 15 – 2.4 – 0.8 = 0 9.5 R A – 38.56 = 0 9.5 R A = 38.56 R A = 38.56/9.5 => R A = 4.059 ton
ΣMA = 0 • • • • • •
–R B x 9.5m + P1 x Sin 45° x 1½m – P2 x 3½m – Q x 8½ = 0 –9.5R B + 3.6t x ½√2 x 1½m + 2.6t x 3½m – 1.6t x 4m x 8½m = 0 to vote=on0 this title –9.5R B + 3.6t x ½√2 x 1½m + 2.6t x 3½m + 1.6t xSign 4mup x 8½m Useful Not useful –9.5R B + 3.818 + 9.1 + 54.4 = 0 –9.5 R B = –67.318 R B = = 7.086 ton
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DA = R A = 4.059 ton
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Titik C • •
DCkiri = R A = 4.059 ton DCkanan = R A – P1 x Sin 45° = 4.059 – 3.6 x ½√2 = 4.059 – 2.545 = 1.514 ton
Titik D •
•
DDkiri = R A – P1 x Sin 45° = 1.514 ton DDkanan = R A – P1 x Sin 45°– P2 = 1.514 – 2.6 = -1.086 ton
Titik E •
•
DEkiri = R A – P1 x Sin 45°– P2 = -1.086 ton DEkanan = R A – P1 x Sin 45°– P2 – (q x 0 m) = -1.086 ton
Titik B o
o
DBkiri = R A – P1 x Sin 45°– P2 – (q x 0 m) = -1.086 ton DBkanan = R A – P1 x Sin 45°– P2 – (q x 3 m) + R B = -1.086 ton – (1.6 x 3m) + 7.086
= -1.086 ton – 4.8 ton + 7.086 ton = 1.2 ton
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Titik F
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MC = R A x 1½m = 4.059 ton x 1½m = 6.088 tm Titik D
MD = R A x 3½m – P1 x Cos 45° x 2m = 4.059 ton x 3½m – 3.6 x ½√2 x 2m = 14.206 – 5.090 = 9.116 tm Titik E
ME = R A x 6½m – P1 x Cos 45° x 5m – P2 x 3m = 4.059 ton x 6½m – 3.6 x ½√2 x 5m – 2.6 x 3m = 26.383 – 12.726 – 7.8 = 5.857 tm Titik G
MG = R A x (6½+ X) – P1 x Cos 45° x (5 + X) – P2 x (3 + X) – ½qX2 = 6½R A + XR A – 3.6 x ½√2 x (5 + X) – 2.6 x (3 + X) – ½ x 1.6 x X2 = 6½ x 4.059+ X x 4.059– 12.726 + 2.545X – 7.8 + 2.6X – 0.8X2 = 26.383+ 4.059X– 12.726 + 2.545X – 7.8 + 2.6X – 0.8X2 = 5.857+ 9.204X– 0.8X2 a = -0.8 ; b = 9.204 ; c = 5.857
X1 = -0.604 X2 = 12.109 karena > 4 m maka X2 tidak dipakai. 2
= 5.857 + (9.204 x (-0.604)) – 0.8 (-0.604 ) = 5.857 – 5.559 – 0.292 ≈ 0 Titik B