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A timber beam of rectangular section 100 mm x 50 mm is simply supported at the ends, has a 30 mm x 10 mm steel strip securely fixed to the top surface as shown in the given figure.The centroid of the "Equivalent timber beam" in this case from the tope surface

🗓 Oct 22, 2024

Answer is "is 30 mm"

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Joydeep sarkar 🌐 West Bengal
30 mm answer
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Anonymous 🌐 India
Equivalent width of steel in terms of timber= 30*modular ratio= 30*20=600mm.
centroid of equivalent section (from top)=(A1.y1+A2.y2)/A1+A2 = 30 mm

Where A1=600*10=6000mm2 and y1=10/2=5mm
and A2=50*100=5000mm2 and y2=(100/2)+10=60 mm
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