01-02ChapGere.0027

# 01-02ChapGere.0027 - pin is t S 5 80 MPa and the allowable...

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Solution 1.8-13 Bar with pin connection 58 CHAPTER 1 Tension, Compression, and Shear Width of bar b 5 2in. Thickness t 5 0.25in. s allow 5 20ksi t allow 5 11.5ksi d 5 diameter of pin (inches) P 5 axial load (pounds) A LLOWABLE LOAD BASED UPON TENSION IN BAR P 1 5 s allow A net 5 s allow ( b 2 d ) t 5 (20,000psi)(2in. 2 d )(0.25in.) 5 5,000(2 2 d ) 5 10,000 2 5,000 d Eq. (1) A LLOWABLE LOAD BASED UPON SHEAR IN PIN Double shear Eq. (2) 5 (11,500 psi) ¢ p d 2 2 5 18,064 d 2 P 2 5 2 t allow ¢ p d 2 4 5 t allow ¢ p d 2 2 G RAPH OF E QS . (1) AND (2) (a) M AXIMUM LOAD OCCURS WHEN P 1 5 P 2 10,000 2 5,000 d 5 18,064 d 2 or 18,064 d 2 1 5,000 d 2 10,000 5 0 Solve quadratic equation: (b) M AXIMUM LOAD Substitute d 5 0.6184in. into Eq. (1) or Eq. (2): P max 5 6910 lb d 5 0.6184 in. Ê d m 5 0.618 in. t P d 0 Load P (lb) 20,000 10,000 P max 0.5 1.0 d m Diameter d (in.) P 1 P 2 Eq.(2) Eq.(1) Problem 1.8-14 A flat bar of width b 5 60 mm and thickness t 5 10 mm is loaded in tension by a force P (see figure). The bar is attached to a support by a pin of diameter d that passes through a hole of the same size in the bar. The allowable tensile stress on the net cross section of the bar is s T 5 140 MPa, the allowable shear stress in the
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Unformatted text preview: pin is t S 5 80 MPa, and the allowable bearing stress between the pin and the bar is s B 5 200 MPa. (a) Determine the pin diameter d m for which the load P will be a maximum. (b) Determine the corresponding value P max of the load. d b t P P Problem 1.8-13 A bar of rectangular cross section is subjected to an axial load P (see figure). The bar has width b 5 2.0 in. and thickness t 5 0.25 in. A hole of diameter d is drilled through the bar to provide for a pin support. The allowable tensile stress on the net cross section of the bar is 20 ksi, and the allowable shear stress in the pin is 11.5 ksi. (a) Determine the pin diameter d m for which the load P will be a maximum. (b) Determine the corresponding value P max of the load. d b t P P A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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