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Question Number 157730 by chuxx last updated on 27/Oct/21

Good day Mr.W, I would have loved  to send this privately to you but  there′s nomeans of doing that. You  assisted me in solving a problem  and the answers are really correct; I  was also understandinv the approach  however some points got me lost.  I′ll be most grateful if you could  help me amplify the solution.     I always appreciate you since I was  here in 2014.  Thank you now and always.     here are some of the issues  i have with the solution.    I thought that in the composite  system the axial load would be  shared among the steel and  concrete thus having a portion  of the load in the steel and   the rest in the concrete, yet  you solved for the stress in  concrete and used the general axial load and  total area and yet your answer  was very correct but i really dont  understand why and how you had to   use the general area and load for  just concrete.      I was also shocked about how the  area of the steel became had α in  it. I thought it would just be ((nπd^2 )/4).  I would lie if I say I dont marvel  at your calculation skills sir.        please explain this method for me.  It is really short and concise.The  other method I know also gave me  the answer you got but its a really long  journey. Please sir, explain in detail  to me. I′m most grateful.     Thanks in advance.    I′ll post the auestion and your previous workings.

$${Good}\:{day}\:{Mr}.{W},\:{I}\:{would}\:{have}\:{loved} \\ $$$${to}\:{send}\:{this}\:{privately}\:{to}\:{you}\:{but} \\ $$$${there}'{s}\:{nomeans}\:{of}\:{doing}\:{that}.\:{You} \\ $$$${assisted}\:{me}\:{in}\:{solving}\:{a}\:{problem} \\ $$$${and}\:{the}\:{answers}\:{are}\:{really}\:{correct};\:{I} \\ $$$${was}\:{also}\:{understandinv}\:{the}\:{approach} \\ $$$${however}\:{some}\:{points}\:{got}\:{me}\:{lost}. \\ $$$${I}'{ll}\:{be}\:{most}\:{grateful}\:{if}\:{you}\:{could} \\ $$$${help}\:{me}\:{amplify}\:{the}\:{solution}.\: \\ $$$$ \\ $$$${I}\:{always}\:{appreciate}\:{you}\:{since}\:{I}\:{was} \\ $$$${here}\:{in}\:\mathrm{2014}. \\ $$$${Thank}\:{you}\:{now}\:{and}\:{always}.\: \\ $$$$ \\ $$$$\boldsymbol{{here}}\:\boldsymbol{{are}}\:\boldsymbol{{some}}\:\boldsymbol{{of}}\:\boldsymbol{{the}}\:\boldsymbol{{issues}} \\ $$$$\boldsymbol{{i}}\:\boldsymbol{{have}}\:\boldsymbol{{with}}\:\boldsymbol{{the}}\:\boldsymbol{{solution}}. \\ $$$$ \\ $$$$\boldsymbol{{I}}\:\boldsymbol{{thought}}\:\boldsymbol{{that}}\:\boldsymbol{{in}}\:\boldsymbol{{the}}\:\boldsymbol{{composite}} \\ $$$$\boldsymbol{{system}}\:\boldsymbol{{the}}\:\boldsymbol{{axial}}\:\boldsymbol{{load}}\:\boldsymbol{{would}}\:\boldsymbol{{be}} \\ $$$$\boldsymbol{{shared}}\:\boldsymbol{{among}}\:\boldsymbol{{the}}\:\boldsymbol{{steel}}\:\boldsymbol{{and}} \\ $$$$\boldsymbol{{concrete}}\:\boldsymbol{{thus}}\:\boldsymbol{{having}}\:\boldsymbol{{a}}\:\boldsymbol{{portion}} \\ $$$$\boldsymbol{{of}}\:\boldsymbol{{the}}\:\boldsymbol{{load}}\:\boldsymbol{{in}}\:\boldsymbol{{the}}\:\boldsymbol{{steel}}\:\boldsymbol{{and}}\: \\ $$$$\boldsymbol{{the}}\:\boldsymbol{{rest}}\:\boldsymbol{{in}}\:\boldsymbol{{the}}\:\boldsymbol{{concrete}},\:{yet} \\ $$$${you}\:{solved}\:{for}\:{the}\:{stress}\:{in} \\ $$$${concrete}\:{and}\:{used}\:{the}\:{general}\:{axial}\:{load}\:{and} \\ $$$${total}\:{area}\:{and}\:{yet}\:{your}\:{answer} \\ $$$${was}\:{very}\:{correct}\:{but}\:{i}\:{really}\:{dont} \\ $$$${understand}\:{why}\:{and}\:{how}\:{you}\:{had}\:{to}\: \\ $$$${use}\:{the}\:{general}\:{area}\:{and}\:{load}\:{for} \\ $$$${just}\:{concrete}. \\ $$$$ \\ $$$$ \\ $$$${I}\:{was}\:{also}\:{shocked}\:{about}\:{how}\:{the} \\ $$$${area}\:{of}\:{the}\:{steel}\:{became}\:{had}\:\alpha\:{in} \\ $$$${it}.\:{I}\:{thought}\:{it}\:{would}\:{just}\:{be}\:\frac{{n}\pi{d}^{\mathrm{2}} }{\mathrm{4}}. \\ $$$${I}\:{would}\:{lie}\:{if}\:{I}\:{say}\:{I}\:{dont}\:{marvel} \\ $$$${at}\:{your}\:{calculation}\:{skills}\:{sir}. \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$${please}\:{explain}\:{this}\:{method}\:{for}\:{me}. \\ $$$${It}\:{is}\:{really}\:{short}\:{and}\:{concise}.{The} \\ $$$${other}\:{method}\:{I}\:{know}\:{also}\:{gave}\:{me} \\ $$$${the}\:{answer}\:{you}\:{got}\:{but}\:{its}\:{a}\:{really}\:{long} \\ $$$${journey}.\:{Please}\:{sir},\:{explain}\:{in}\:{detail} \\ $$$${to}\:{me}.\:{I}'{m}\:{most}\:{grateful}.\: \\ $$$$ \\ $$$${Thanks}\:{in}\:{advance}. \\ $$$$ \\ $$$${I}'{ll}\:{post}\:{the}\:{auestion}\:{and}\:{your}\:{previous}\:{workings}. \\ $$

Commented by chuxx last updated on 27/Oct/21

Commented by chuxx last updated on 27/Oct/21

here's your solution for the question I posted sir.

Commented by chuxx last updated on 27/Oct/21

Commented by chuxx last updated on 27/Oct/21

Commented by chuxx last updated on 27/Oct/21

These are the question and the image I sent. Thank you sir

Commented by mr W last updated on 27/Oct/21

i′ll try to answer your question later.

$${i}'{ll}\:{try}\:{to}\:{answer}\:{your}\:{question}\:{later}. \\ $$

Commented by chuxx last updated on 27/Oct/21

Thank you sir, I′ll wait.

$${Thank}\:{you}\:{sir},\:{I}'{ll}\:{wait}. \\ $$

Commented by mr W last updated on 27/Oct/21

see Q157775

$${see}\:{Q}\mathrm{157775} \\ $$

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