Question Solved1 Answer Determine the location e of the shear center, point O, for the thin-walled member having a slit along its section. |-100 mm-100 mm100 mm

UJE4JE The Asker · Mechanical Engineering

Determine the location e of the shear center, point O, for the thin-walled member having a slit along its section.

Transcribed Image Text: |-100 mm-100 mm100 mm
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Transcribed Image Text: |-100 mm-100 mm100 mm
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Step 1Let's assume the thickness of the whole section is, t mm.Now apply a force of magnitude 'P' at point 'O' to generate stresses in the section as shown in the figure: Now to deal with the section assume it as two different sections horizontal and vertical.Then calculate the values of the moment of inertia 'I', 'Q1' and 'Q2'.I=1122t2a3+2ata2=103a3·tQ1=y¯'1·A'=y2yt=t2y2Q2=∑y¯'·A'=a2at+a(xt)=at2a+2xStep 2Now use the shear force resultants to evaluate the values of q1 and q2 :q1=VQ1I=P12y2103a3·t=3Py220a3q2=VQ2I= ... See the full answer