02-01ChapGere.0003

# 02-01ChapGere.0003 - h 5 distance the cage moves downward h...

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Problem 2.2-4 By what distance h does the cage shown in the figure move downward when the weight W is placed inside it? Consider only the effects of the stretching of the cable, which has axial rigidity EA 5 10,700 kN. The pulley at A has diameter d A 5 300 mm and the pulley at B has diameter d B 5 150 mm. Also, the distance L 1 5 4.6 m, the distance L 2 5 10.5 m, and the weight W 5 22 kN. ( Note: When calculating the length of the cable, include the parts of the cable that go around the pulleys at A and B .) SECTION 2.2 Changes in Lengths of Axially Loaded Members 65 L 1 L 2 A B W Cage Solution 2.2-4 Cage supported by a cable L 1 L 2 A B W d A 5 300 mm d B 5 150 mm L 1 5 4.6 m L 2 5 10.5 m EA 5 10,700 kN W 5 22 kN L ENGTH OF CABLE 5 4,600 mm 1 21,000 mm 1 236 mm 1 236 mm 5 26,072 mm E LONGATION OF CABLE L OWERING OF THE CAGE
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Unformatted text preview: h 5 distance the cage moves downward h 5 1 2 d 5 13.4 mm d 5 TL EA 5 (11 kN)(26,072 mm) (10,700 kN) 5 26.8 mm L 5 L 1 1 2 L 2 1 1 4 ( p d A ) 1 1 2 ( p d B ) T ENSILE FORCE IN CABLE T 5 W 2 5 11 kN Problem 2.2-5 A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d (see figure). The valve is designed to release the steam when the pressure reaches the value p max . If the natural length of the spring is L and its stiffness is k , what should be the dimension h of the valve? (Express your result as a formula for h. ) h p d A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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## This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.

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