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01-02ChapGere.0011

01-02ChapGere.0011 - the pin is to be maintained b a P P...

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42 CHAPTER 1 Tension, Compression, and Shear Solution 1.7-8 Pin connection for a ship’s spar Spar: d 2 80 mm d 1 70 mm Pin: d 25 mm Plates: t 12 mm A LLOWABLE LOAD P BASED UPON COMPRESSION IN THE SPAR c 70 MPa 1178.1 mm 2 P 1 c A c (70 MPa )(1178.1 mm 2 ) 82.5 kN A c 4 ( d 2 2 d 1 2 ) 4 [ (80 mm) 2 (70 mm) 2 ] Plate Spar P Pin A LLOWABLE LOAD P BASED UPON SHEAR IN THE PIN ( DOUBLE SHEAR ) allow 45 MPa P 2 allow A s (45 MPa )(981.7 mm 2 ) 44.2 kN A LLOWABLE LOAD P BASED UPON BEARING b 110 MPa A b 2 dt 2(25 mm)(12 mm) 600 mm 2 P 3 b A b (110 MPa )(600 mm 2 ) 66.0 kN A LLOWABLE COMPRESSIVE LOAD IN THE SPAR Shear in the pin governs. P allow 44.2 kN A s 2 ¢ d 2 4 2 (25 mm) 2 981.7 mm 2 Problem 1.7-9 What is the maximum possible value of the clamping force C in the jaws of the pliers shown in the figure if a 3.75 in., b 1.60 in., and the ultimate shear stress in the 0.20-in. diameter pin is 50 ksi? What is the maximum permissible value of the applied load P if a factor of safety of 3.0 with respect to failure of
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Unformatted text preview: the pin is to be maintained? b a P P Pin Problem 1.7-8 A ship’s spar is attached at the base of a mast by a pin connection (see figure). The spar is a steel tube of outer diameter d 2 5 80 mm and inner diameter d 1 5 70 mm. The steel pin has diameter d 5 25 mm, and the two plates connecting the spar to the pin have thickness t 5 12 mm. The allowable stresses are as follows: compressive stress in the spar, 70 MPa; shear stress in the pin, 45 MPa; and bearing stress between the pin and the connecting plates, 110 MPa. Determine the allowable compressive force P allow in the spar. Mast Connecting plate Spar P Pin A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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