CE 205 Midterm 1

CE 205 Midterm 1 - Fall 2006 CE205 T/Th/F Dis at _(am/pm)...

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Fall 2006 CE205 MidTerm#1 Name: So, Lut Ion____ T/Th/F Dis at ____(am/pm) SCID#:_____007_ ______(last 5 digits) Last, First 1) _______________ 2) _______________ 3) _______________ Total _______________ 1)(33pt) The couple acts on a pipe in the directions as shown. i) Find the moment of the couple acting on the pipe as: AB rF × ± ± . ii) Repeat i) by summing the moment of each force about the point O. iii) Find the projection of the moment along the axis OB. Give it as a vector. () 00 0 .36 .49 0 0.6 0.6 / 0.85 0.92 0.3 0.7 0.7 0. 6 ( 3 ) . 4 ( 2 i) 0.6 0 0.6 0.4 0(3) .4(6) 0.4 6 2 3 0(2) .6(6) B AB B B AB B A AB r rru r ijk rr r r F ⎛⎞ =+ ⎜⎟ == = −− ⎝⎠ + =−= ×= − =− + ± ±±± ± ± ±± ± ± 2.6 2.4 3.6 Nm ⎞⎛ ⎞ =⋅ ) 0.6 3.2 2.6 ii) 0 0 0.3 0 0.6 0.7 1.8 4.2 2.4 62 3 6 2 3 0 3 . 6 3 . 6 ij k i j k r F N ×− + × = + = − + = m 2.6 0 0 ˆˆ ˆ iii) 2.4 0.6 /.922 0.651 3.6 0.7 0.759 0 ˆ 2.4(.651) 3.6(.759) 1.17 0.651 0.759 BB B B B B Mu u u u u u ⋅= = = =− = ± .762 .76 .888 .89 ≈− ⎟⎜
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Fall 2006 CE205 MidTerm#1
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CE 205 Midterm 1 - Fall 2006 CE205 T/Th/F Dis at _(am/pm)...

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