Question

The axial capacity of a 320 in column of steel ratio 2% (ie, steel
area gross area = 0.02) is 1000 kips. A 240 in' column can obtain the same
axial capacity if the steel ratio is increased to 5%. Using marrix inversion
method calculate the axial strength (axial capacity per unit area) of concrete​

Answer 1

Step-by-step explanation:

The crucial thing to understand about these problems is that both industries need some of each product (possibly including their own) to make more of that product. It's the old "you gotta spend money to make money" routine. So, in order to make steel, the steel plant needs a little bit of steel (hopefully less than it is producing), along with some lumber. The lumberyard also needs some steel and lumber to make more lumber. This might be particularly relatable if you've ever played a game that involves gathering and spending resources, like Age of Empires or Settlers of Catan.

The next thing to understand is that the problem is asking us for how much of each resource we need to produce - which will be more than the amount we're exporting. Why? Because some of the steel and lumber we produce goes back into the two industries to meet the production (which itself requires some steel and lumber, and so on).

For both resources, the production can be broken into three parts:

The amount of the same resource needed to produce more of the resource;

The amount of the other resource needed to produce more of the resource;

The amount of the resource we need to have left over to expor

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