Solution-hydrostatics - Final 2009: Question 5 The gate...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
2010/11/20 50 Final 2009: Question 5 The gate ABCD retains water as shown. The gate is 6m wide (perpendicular to the page). The gate is supported by a pin at A and a roller at D. Neglecting the weight of the gate, determine the reactions at A and D. Step 1: FBD of the gate as shown. Step 2: Calculate water pressure F1=(1000kg/m 3 )(9.81N/kg)(5m)(5m)(1/2)(6m)=735.75kN F2=(1000kg/m 3 )(9.81N/kg)(5m)(5m)(6m)=1471.5kN F3=[(1000kg/m 3 )(9.81N/kg)(9m)-(1000kg/m 3 )(9.81N/kg)(5m)](5m)(1/2)(6m)=588.6kN Step 3: Taking moment about A Step 4: Dx Ax Ay F3 F2 F1 kN D D F F F M X X A 803 0 ) 11 ( ) 3 5 )( 3 ( ) 2 5 )( 2 ( ) 3 5 4 )( 1 ( = = + + + = kN A A F F F D A F kN A A F F A F X X X X X X X Y Y Y Y Y Y 1581 0 ) 5 3 ( 6 . 588 ) 5 3 ( 5 . 1471 75 . 735 803 3 2 1 1236 0 ) 5 4 ( 6 . 588 ) 5 4 ( 5 . 1471 3 2 = = + = + = + = = = = +
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2010/11/20 52 Ax=34.1kN ( ), Ay=25.6kN ( ) Bx=73.2kN ( ), By=32.7kN( ) Final 2008: Question 1 AB represents the cross section of a 3 m wide dam that has fresh water of depth 2.7 m on one side. Neglecting the weight of the dam calculate the reactions at A and B. [ 3 marks ] Step 1: FBD, marks break down to one mark for each segment. Step 2: Fluid pressures [ 1 mark ] [ 1 mark ] [ 1 mark ] [ 1 mark ] Step 3: Taking moment about point B Resolving reaction at A and F 1 into components
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This document was uploaded on 12/22/2010.

Page1 / 7

Solution-hydrostatics - Final 2009: Question 5 The gate...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online