The bar ABCD consists of three cylindrical steel segments, each with the cross-s

Question

The bar ABCD consists of three cylindrical steel segments, each with the cross-sectional area indicated. Based on the information provided, select the most appropriate responses to the following: 8. The average normal stress acting in region 3 of the bar will be equal to: A) None of the choices are within 10% of the correct result B) 2250 psi and the segment will be in compression C) 4.38 ksi and the segment will be in compression D) 5.16 ksi and the segment will be in tension E) 3.33 ksi and the segment will be in compression 1.6 in.2

Explanation / Answer

We know that

Normal stress = P/A

At region 3

load acting at point c = 9000 + 2000 - 4000

= 7000 lb

Area of region 3 = 1.6 in2

  Normal stress = 7000/1.6 = 4375 lb/ in2

= 4.375 Ksi

and the stress acting on the member is compression

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