CVE-223 Homework #1 - Solution

CVE-223 Homework #1 - Solution - Dr. Khaled Galal, PhD,...

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American University of Sharjah College of Engineering Civil Engineering Department P. O. Box 26666 Sharjah, UAE Dr. Khaled Galal, PhD, PEng Spring 2011 Office: LIB-022A Tel: 6-515-2984 e-mail: kgalal@aus.edu CVE 223: M ECHANICS OF M ATERIALS H OMEWORK # 1 Chapter 1 Solution 1.4 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that d1 = 50 mm and d2 = 30 mm, find the average normal stress at the midsection of (a) rod AB , (b) rod BC Fig 2 Tension Fig 3 Solution Fy 0 Given D1 50mm  D2 30mm  R A 30kN 40kN 70 kN  P A A D 2 4 A AB D1 2 4 1.963 10 3 mm 2  AB R A A AB 35.651 MPa  R B 30kN  A BC D2 2 4 706.858 mm 2  BC R B A BC 42.441 MPa 
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1.8 Knowing that the central portion of the link BD has a uniform cross- sectional area of 800 mm2 , determine the magnitude of the load P for which the normal stress in that portion of is 50 MPa .
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CVE-223 Homework #1 - Solution - Dr. Khaled Galal, PhD,...

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