01-01ChapGere.0026

01-01ChapGere.0026 - Determine the following quantities:...

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Solution 1.6-2 Three plates joined by two rivets 26 CHAPTER 1 Tension, Compression, and Shear t 5 thickness of plates 5 16 mm d 5 diameter of rivets 5 20 mm P 5 50 kN t ULT 5 180 MPa (for shear in the rivets) (a) M AXIMUM BEARING STRESS ON THE RIVETS Maximum stress occurs at the middle plate. 5 dt A b 5 bearing area for one rivet (b) U LTIMATE LOAD IN SHEAR Let A 5 cross-sectional area of one rivet or, P 5 p d 2 t At the ultimate load: 5 226 kN P ULT 5 p d 2 t ULT 5 p (20 mm) 2 (180 MPa) Shear stress t 5 P / 4 A 5 P 4( p d 2 4 ) 5 P p d 2 Shear force on one rivet 5 P 4 Shear force on two rivets 5 P 2 5 78.1 MPa s b 5 P 2 A b 5 P 2 dt 5 50 kN 2(20 mm)(16 mm) P P /2 P /2 P P t Problem 1.6-3 A bolted connection between a vertical column and a diagonal brace is shown in the figure. The connection consists of three 5 ± 8 -in. bolts that join two 1 ± 4 -in. end plates welded to the brace and a 5 ± 8 -in. gusset plate welded to the column. The compressive load P carried by the brace equals 8.0 k.
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Unformatted text preview: Determine the following quantities: (a) The average shear stress t aver in the bolts, and (b) The average bearing stress s b between the gusset plate and the bolts. (Disregard friction between the plates.) P Column End plates for brace Gusset plate Brace Problem 1.6-2 Three steel plates, each 16 mm thick, are joined by two 20-mm diameter rivets as shown in the figure. (a) If the load P 5 50 kN, what is the largest bearing stress acting on the rivets? (b) If the ultimate shear stress for the rivets is 180 MPa, what force P ult is required to cause the rivets to fail in shear? (Disregard friction between the plates.) P P /2 P /2 P P A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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