Amazon rectangular bar of low carbon steel A-36 is exposed to an axial strees of 150 MPa. What is the original length of the bar in m, if it elongates 1.35 mm under these conditions?

Respuesta :

Answer:

1.8m

Explanation:

Let the Elastics of the steel ASTM-36 [tex]E = 200000 MPa[/tex]

The strain of the bar when subjected to 150 MPa is

[tex]\epsilon = \frac{\sigma}{E} = \frac{150}{200000} = 0.00075[/tex]

Therefore, if the bar elongates by 1.35 mm, then the original length L would be:

[tex]\epsilon = \frac{\Delta L}{L}[/tex]

[tex]L = \frac{\Delta L}{\epsilon} = \frac{1.35}{0.00075} = 1800 mm[/tex] or 1.8m