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lizzyb
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Question Exactly from Text
Determine the location e of the shear center, pint O, for the thin-walled member having the cross section shown.
http://img268.imageshack.us/img268/8732/scannedimage058.jpg
Work Done So Far
I'd like to find the statical moment of area, Q, for a semi-circle in general; using this I should be able to generate Q = Q(R_outer) - Q(R_inner); I've been provided with such a Q as a hint but have failed to produce this value on my own ( 1/3 * (R_outer^3 - R_inner^3)) sin (theta) ).
I begin by determining the area A' by noting that its:
(area of circle)/4 - (area of circle in proportion to theta) - (triangle underneath shaded area)
http://img268.imageshack.us/img268/34/scannedimage059.jpg
I took its derivative and use C for theta:
http://img268.imageshack.us/img268/2466/scannedimage060.jpg
I used a calculator for integration.
What am I doing wrong?
Determine the location e of the shear center, pint O, for the thin-walled member having the cross section shown.
http://img268.imageshack.us/img268/8732/scannedimage058.jpg
Work Done So Far
I'd like to find the statical moment of area, Q, for a semi-circle in general; using this I should be able to generate Q = Q(R_outer) - Q(R_inner); I've been provided with such a Q as a hint but have failed to produce this value on my own ( 1/3 * (R_outer^3 - R_inner^3)) sin (theta) ).
I begin by determining the area A' by noting that its:
(area of circle)/4 - (area of circle in proportion to theta) - (triangle underneath shaded area)
http://img268.imageshack.us/img268/34/scannedimage059.jpg
I took its derivative and use C for theta:
http://img268.imageshack.us/img268/2466/scannedimage060.jpg
I used a calculator for integration.
What am I doing wrong?
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