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Question Number 98568 by aurpeyz last updated on 14/Jun/20

Commented by aurpeyz last updated on 14/Jun/20

pls help me with question 13.9

$$\mathrm{pls}\:\mathrm{help}\:\mathrm{me}\:\mathrm{with}\:\mathrm{question}\:\mathrm{13}.\mathrm{9} \\ $$

Answered by mr W last updated on 14/Jun/20

thickness t=2.5mm  diameter of hole d=6mm  shear stress =(F/(πdt))=3.0×10^8  Pa=0.3 ((KN)/(mm^2 ))  ⇒F=0.3×π×6×2.5=14.14 KN    if the hole is a square, then  ⇒F=0.3×4×6×2.5=18 KN

$${thickness}\:{t}=\mathrm{2}.\mathrm{5}{mm} \\ $$$${diameter}\:{of}\:{hole}\:{d}=\mathrm{6}{mm} \\ $$$${shear}\:{stress}\:=\frac{{F}}{\pi{dt}}=\mathrm{3}.\mathrm{0}×\mathrm{10}^{\mathrm{8}} \:{Pa}=\mathrm{0}.\mathrm{3}\:\frac{{KN}}{{mm}^{\mathrm{2}} } \\ $$$$\Rightarrow{F}=\mathrm{0}.\mathrm{3}×\pi×\mathrm{6}×\mathrm{2}.\mathrm{5}=\mathrm{14}.\mathrm{14}\:{KN} \\ $$$$ \\ $$$${if}\:{the}\:{hole}\:{is}\:{a}\:{square},\:{then} \\ $$$$\Rightarrow{F}=\mathrm{0}.\mathrm{3}×\mathrm{4}×\mathrm{6}×\mathrm{2}.\mathrm{5}=\mathrm{18}\:{KN} \\ $$

Commented by aurpeyz last updated on 15/Jun/20

it is a square. thanks sir

$$\mathrm{it}\:\mathrm{is}\:\mathrm{a}\:\mathrm{square}.\:\mathrm{thanks}\:\mathrm{sir} \\ $$

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