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Solution_06

# Solution_06 - Civ101 ASSIGNMENT6(DUE 4:00PM ON FRIDAY OCT...

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A SSIGNMENT 6 : (D UE 4:00PM ON F RIDAY , O CT . 22 ND AT GB332)     C IV 101- S TRUCTURES , M ATERIALS   AND  D ESIGN , S ECTION  J (9), 2004-2005                                                                   D EPT OF  C IVIL  E NGINEERING , U NIVERSITY   OF  T ORONTO Rules : Draw a FBD for each problem; Use 5 Significant digits (two decimal points for angles); Always  Express vectors in  i, j, k  terms (it is also good to find the value and angle of the force). 1- Find the y-coordinate of the centroid of the shaded  areas.  Area(mm 2 ) Ŷ (mm) Ŷ A1 300x100 30000 50 1500000 A2 Π  x 90 2  / 2 -12723 38.197 -485980 A3 150x75 11250 137.5 1546875 A4 75x75/2 2812.5 125 351562.5 A5 75x75/2 2812.5 125 351562.5 Sum 34152 3264020 mm A AY Y 573 . 95 34152 3264020 = = Σ = Area(mm 2 ) Ŷ (mm) Ŷ A1 Π  x 74 2  / 2 8601.7 31.407 270149 A2 64x32 -2048 16 -32768 Sum 6553.7 237381 mm A AY Y 221 . 36 7 . 6553 237381 = = Σ = http://ccnet.utoronto.ca/20049/civ101h1fsection9/ Civ101 Assignments A1 A2 A3 A4 A5 A1 A2

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A SSIGNMENT 6 : (D UE 4:00PM ON F RIDAY , O CT . 22 ND AT GB332)     C IV 101- S TRUCTURES , M ATERIALS   AND  D ESIGN , S ECTION  J (9), 2004-2005                                                                   D EPT OF  C IVIL  E NGINEERING , U NIVERSITY   OF  T ORONTO Rules : Draw a FBD for each problem; Use 5 Significant digits (two decimal points for angles); Always  Express vectors in  i, j, k  terms (it is also good to find the value and angle of the force). 2- Determine the coordinates of the centroid of the shaded  area. Area(mm 2 ) X A X Ŷ (mm) Ŷ A1 250x400 100000 200 20000000 125 12500000 A2 250x150/2 18750 450 8437500 83.333 1562500 A3 Π x60 2 -11309.7 200 -2261947 125 -1413712.5 Sum 107440 26175553 12648787 mm A AX X 63 . 243 107440 26175553 = = Σ = mm A AY Y 73 . 117 107440 12648787 = = Σ = http://ccnet.utoronto.ca/20049/civ101h1fsection9/ Civ101 Assignments A1 A2 A3
A SSIGNMENT 6 : (D UE 4:00PM ON F RIDAY , O CT . 22 ND AT GB332)     C IV 101- S TRUCTURES , M ATERIALS   AND  D ESIGN , S ECTION  J (9), 2004-2005                                                                   D EPT OF  C IVIL  E NGINEERING , U NIVERSITY   OF  T ORONTO Rules : Draw a FBD for each problem; Use 5 Significant digits (two decimal points for angles); Always  Express vectors in  i, j, k  terms (it is also good to find the value and angle of the force).

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