Question
Download Solution PDFMaximum shear stress in a beam of rectangular cross section is ________ times the average shear stress.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFMaximum shear stress of rectangular section, maximum stress occur at neutral axis________
\(\begin{array}{l} \therefore {Z_{max}} = \frac{{FA\bar y}}{{bI}}\\ = \frac{{F \times \left( {b \times \frac{d}{2}} \right) \times \left( {\frac{d}{4}} \right)}}{{b \times \frac{{b{d^3}}}{{12}}}} = \frac{{3F}}{{2bd}}\\ {\tau _{average}} = \frac{F}{{b.d}}\\ \therefore \frac{{{\tau _{max}}}}{{{\tau _{average}}}} = \frac{3}{2} = 1.5 \end{array}\)
Last updated on Mar 27, 2025
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