chapter 14 answers

chapter 14 answers - Problem 14.1 In Example 7-1, determine...

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Unformatted text preview: Problem 14.1 In Example 7-1, determine the internal forces and moment at C if the distance from A to C is L/ 2 . Free Body Diagram: Solution: We first determine the reactions at the ends of the beam: M B = 0 = F L 4 A y ( L ) A y = F/ 4 F y = 0 = F + A y + B y = F + F/ 4 + B y B y = 3 F/ 4 F x = 0 = A x A x = 0 Using the FBD of the left-hand portion of the beam: F x = 0 = C x ANS: C x = 0 F y = 0 = A y V C = F/ 4 V C ANS: V C = F/ 4 M A = 0 = F 4 L 2 + M C ANS: M C = F L/ 8 Problem 14.2 Determine the internal forces and mo- ment at A , B , and C . STRATEGY In this case you dont need to determine the reactions at the built-in support. Cut the beam at the point where you want to determine the internal forces and moment and draw the free-body diagram of the part of the beam to the left of your cut. Remember that P , V , and M must be in their defined positive directions in your free-body diagrams. Solution: Cut the beam through point A and draw the FBD: F x = 0 = P A ANS: P A = 0 F y = 0 = 2 , 000 N V A ANS: V A = 2 , 000 N M A = 0 = (2 , 000 N)(1 m) + M A ANS: M A = 2 , 000 N m Cut the beam through point B and draw the FBD: F x = 0 = P B ANS: P B = 0 F y = 0 = 2 , 000 N V B ANS: V B = 2 , 000 N M B = 0 = (2 , 000 N)(2 m) + M B ANS: M B = 4 , 000 N m Cut the beam through point C and draw the FBD: F x = 0 = P C ANS: P C = 0 F y = 0 = 2 , 000 N V C ANS: V C = 2 , 000 N M C = 0 = (2 , 000 N)(3 m) + M C ANS: M C = 6 , 000 N m Problem 14.3 Determine the internal forces and the moment at A , B , and C . Solution: The sum of forces exerted by a couple is zero in every direction, so the couple can be omitted from any force equations. Cut through the beam at point A and draw the FBD: F x = 0 = P A ANS: P A = 0 F y = 0 = V A ANS: V A = 0 M A = 0 = 2 , 000 ft lb M A ANS: M A = 2 , 000 ft lb Cut through the beam at point B and draw the FBD: F x = 0 = P B ANS: P B = 0 F y = 0 = V B ANS: V B = 0 M B = 0 = 2 , 000 ft lb M B ANS: M B = 2 , 000 ft lb Cut through the beam at point C and draw the FBD: F x = 0 = P C ANS: P C = 0 F y = 0 = V C ANS: V C = 0 M C 0 = 2 , 000 ft lb M C ANS: M C = 2 , 000 ft lb Problem 14.4 Determine the internal forces and mo- ment at A . Solution: Cut the bar through point A and draw the FBD: F x = 0 = (1 , 000 lb)( cos 30 ) P A ANS: P A = 866 lb F y = 0 = (1 , 000 lb)( sin 30 ) V A ANS: V A = 500 lb M A = 0 = (1 , 000 lb)( sin 30 )(6 ft) M A ANS: M A = 3 , 000 ft lb Free Body Diagram: Problem 14.5 Determine the internal forces and moment (a) at B ; (b) at C ....
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This homework help was uploaded on 04/03/2008 for the course MAE 101 taught by Professor Orient during the Winter '08 term at UCLA.

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chapter 14 answers - Problem 14.1 In Example 7-1, determine...

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