Question

The ultimate tensile strength (stress) for steel is 100 N/m^2 and for an aluminum alloy it is 70 N/m^2. What is the ultimate tensile strength for steel and aluminum in lb/in. and kip/in^2?

Answer 1

The ultimate tensile strength for steel is 0.0145 lb/in² and for aluminum is 0.01015 lb/in². In kip/in², the ultimate tensile strength for steel is 0.0000145 kip/in² and for aluminum is 0.00001015 kip/in².

Step-by-step explanation:

The ultimate tensile strength refers to the maximum stress that a material can withstand before it breaks. For steel, the ultimate tensile strength is 100 N/m², while for an aluminum alloy it is 70 N/m². To convert these values to lb/in², we need to multiply them by 0.000145 to get the strength in pounds per square inch. Therefore, the ultimate tensile strength for steel is 0.0145 lb/in² and for aluminum is 0.01015 lb/in².

To convert the ultimate tensile strength into kip/in², we need to divide the values by 1000, as 1 pound force is equal to 0.001 kip. Thus, the ultimate tensile strength for steel is 0.0000145 kip/in² and for aluminum is 0.00001015 kip/in².

Answer 2

The ultimate tensile strength for steel is 0.145lb/in^2 and 1.45×10^-4 kip/in^2.

And fot aluminum is 0.0101lb/in^2 and 1.017×10^-5 kip/in^2.

Step-by-step explanation:

First we are going to calculate the tensile strength for steel.

The exercise says that the tensile strength for steel is 100 N/m^2. To express this numer in lb/in^2, we using a convertion char. According to the chart we can say : 1lb= 4.44 N and 1 in = 0.0254 m.

So using multiplication and divisions ⇒
`(100N)/(m^(2) ) *(1lb)/(4.44N) *((0.0254m)^(2) )/((1in)^2)` = 0.145 lb/in^2.

Using again the converstion chart we deduce that 1 kip= 1000lb. So we have to divide the 0.145lb/in^2 with 1000lb to express this numer in kip/in^2.

⇒
`(0.145lb)/(in^(2) ) *(1 kip)/(1000lb)`= 1.45×10^-4 kip/in^2.

To conclude, 100N/m^2 = 0.145lb/in^2 = 1.45×10^-4 kip/in^2.

Now for the aluminum we use the same convertions to express 70N/m^2 in lb/in^2.

⇒
`(70N)/(m^(2) ) *(1lb)/(4.44N) * ((0.0254m)/(1in) )^(2)`= 0.0101 lb/in^2.

and to express this in kip/in^2 :

⇒ 0.0101lb/in^2 * 1kip/1000lb= 1.017×10^-5 kip/in^2.

In conclusion, 70N/m^2 = 0.0101lb/in^2 = 1.017×10^-5 kip/in^2.