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01-01ChapGere.0004

# 01-01ChapGere.0004 - 2 1(28 in(256 in 2 5 15.8 in 5 1 1472...

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Problem 1.2-5 The cross section of a concrete pier that is loaded uniformly in compression is shown in the figure. (a) Determine the average compressive stress c in the concrete if the load is equal to 2500 k. (b) Determine the coordinates x and y of the point where the resultant load must act in order to produce uniform normal stress. Solution 1.2-5 Concrete pier in compression 4 CHAPTER 1 Tension, Compression, and Shear O 16 in. 20 in. 48 in. y x 16 in. 16 in. 16 in. x C y 1 2 3 4 U SE THE FOLLOWING AREAS : A 1 (48 in.)(20 in.) 960 in. 2 A 3 (16 in.)(16 in.) 256 in. 2 A A 1 A 2 A 3 A 4 (960 128 256 128) in. 2 1472 in. 2 A 2 A 4 1 2 (16 in.)(16 in.) 128 in. 2 (a) A VERAGE COMPRESSIVE STRESS c P 2500 k (b) C OORDINATES OF CENTROID C (see Chapter 12, Eq. 12-7a) 2(25.333 in.)(128 in.
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Unformatted text preview: 2 ) 1 (28 in.)(256 in. 2 )] 5 15.8 in. 5 1 1472 in. 2 [ (10 in.)(960 in. 2 ) x 5 1 A ( x 1 A 1 1 2 x 2 A 2 1 x 3 A 3 ) x 5 © x i A i A From symmetry, y 5 1 2 (48 in.) 5 24 in. s c 5 P A 5 2500 k 1472 in. 2 5 1.70 ksi O 16 in. 20 in. 48 in. y x 16 in. 16 in. 16 in. 20 in. Problem 1.2-6 A car weighing 130 kN when fully loaded is pulled slowly up a steep inclined track by a steel cable (see figure). The cable has an effective cross-sectional area of 490 mm 2 , and the angle a of the incline is 30°. Calculate the tensile stress s t in the cable. Cable a A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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