05-06ChapGere.0001

05-06ChapGere.0001 - ( EQUAL TO ZERO ) or 2 W 2 216.651 kN...

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Problem 5.12-10 A flying buttress transmits a load P 5 25 kN, acting at an angle of 60° to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h 5 5.0 m and rectangular cross section of thickness t 5 1.5 m and width b 5 1.0 m (perpendicular to the plane of the figure). The stone used in the construction weighs g 5 26 kN/m 3 . What is the required weight W of the pedestal and statue above the vertical buttress (that is, above section A ) to avoid any tensile stresses in the vertical buttress? Solution 5.12-10 Flying buttress SECTION 5.12 Beams with Axial Loads 363 60 ° P A A B B W h h t 2 Flying buttress t t F REE - BODY DIAGRAM OF VERTICAL BUTTRESS P 5 25 kN h 5 5.0 m t 5 1.5 m b 5 width of buttress perpendicular to the figure b 5 1.0 m g 5 26 kN/m 3 W B 5 weight of vertical buttress 5 bth g 5 195 kN C ROSS SECTION A 5 bt 5 (1.0 m)(1.5 m) 5 1.5 m 2 A T THE BASE N 5 W 1 W B 1 P sin 60º 5 W 1 195 kN 1 (25 kN) sin 60º 5 W 1 216.651 kN M 5 ( P cos 60º) h 5 (25 kN)(cos 60º)(5.0 m) 5 62.5 kN ? m T ENSILE STRESS
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Unformatted text preview: ( EQUAL TO ZERO ) or 2 W 2 216.651 kN 1 250 kN 5 W 5 33.3 kN 5 2 W 1 216.651 kN 1.5 m 2 1 62.5 kN ? m 0.375 m 3 5 s t 5 2 N A 1 M S S 5 1 6 bt 2 5 1 6 (1.0 m)(1.5 m) 2 5 0.375 m 3 60 P W h W B t N V M Problem 5.12-11 A plain concrete wall (i.e., a wall with no steel reinforcement) rests on a secure foundation and serves as a small dam on a creek (see figure). The height of the wall is h 5 6.0 ft and the thickness of the wall is t 5 1.0 ft. (a) Determine the maximum tensile and compressive stresses s t and s c , respectively, at the base of the wall when the water level reaches the top ( d 5 h ). Assume plain concrete has weight density g c 5 145 lb/ft 3 . (b) Determine the maximum permissible depth d max of the water if there is to be no tension in the concrete. h d t A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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