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01-01ChapGere.0026 - Determine the following quantities(a...

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Solution 1.6-2 Three plates joined by two rivets 26 CHAPTER 1 Tension, Compression, and Shear t thickness of plates 16 mm d diameter of rivets 20 mm P 50 kN ULT 180 MPa (for shear in the rivets) (a) M AXIMUM BEARING STRESS ON THE RIVETS Maximum stress occurs at the middle plate. dt A b bearing area for one rivet (b) U LTIMATE LOAD IN SHEAR Let A cross-sectional area of one rivet or, P d 2 At the ultimate load: 226 kN P ULT d 2 t ULT (20 mm) 2 (180 MPa) Shear stress t P 4 A P 4( d 2 4 ) P d 2 Shear force on one rivet P 4 Shear force on two rivets P 2 78.1 MPa s b P 2 A b P 2 dt 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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