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S8-comments - Civ101 ASSIGNMENT#8 Assignments CIV101...

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A SSIGNMENT #8 C IV 101- S TRUCTURES , M ATERIALS AND D ESIGN , S ECTION J (9), 2006-2007 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. Assignment should be handed in at the end of tutorial. Assignments handed in no later than 4 pm next day will be marked at 75%. Assignments handed in later than that will receive a 0. Question 1 Determine all forces acting on member ABC of the frame (note: member CDE is horizontal) First consider the external equilibrium of the body before splitting it up: Σ MA=0 Ecos30(0.6) + Esin30(0.7608)-240(0.4608)-120(0.5608)=0 E = 197.65N Σ Fx=0 -Ecos30 + Ax=0 Ax = 171.17N Σ Fy=0 Esin30 + Ay – 240 - 120=0 Ay = 261.18N Civ101 Assignments 240N 120N Ay Ax E 0.1608m
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A SSIGNMENT #8 C IV 101- S TRUCTURES , M ATERIALS AND D ESIGN , S ECTION J (9), 2006-2007 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. Assignment should be handed in at the end of tutorial. Assignments handed in no later than 4 pm next day will be marked at 75%. Assignments handed in later than that will receive a 0. It is known that BD is a 2-force member, hence the FBD is as shown. Consider body CE: Σ MC=0 Esin30(0.6)-240(0.3)-120(0.4) + BDsin38.26(0.3)=0 BD = 326.78N Σ Fx=0 -Ecos30 + BDcos38.26 + Cx=0 Cx = -85.42N Σ Fy=0 Cy=58.82 kN Civ101 Assignments Ay Ax E BD BD BD Cy Cy Cx Cx 240N 120N 38.26
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A SSIGNMENT #8 C IV 101- S TRUCTURES , M ATERIALS AND D ESIGN , S ECTION J (9), 2006-2007 D EPT .
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