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• 1.545 71. Determine the internal normal force and shear force, and the bending moment in the beam at points C and D.Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 40 kip ft 8 ft8 ft 8 ft 8 kip A BC D 7 Solutions 44918 1/27/09 10:38 AM Page 545

2. 546 72. Determine the shear force and moment at points C and D. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 6 ft A C D E B 6 ft 2 ft 4 ft 4 ft 300 lb200 lb 500 lb 7 Solutions 44918 1/27/09 10:38 AM Page 546 3. 547 73. Determine the internal normal force, shear force, and moment at point C in the simply supported beam. Point C is located just to the right of the 1500-lb ft couple moment. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. BA C 500 lb/ft 1500 lb ft 6 ft 30 6 ft 7 Solutions 44918 1/27/09 10:38 AM Page 547 4. 548 *74. Determine the internal normal force, shear force, and moment at points E and F in the beam. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. D BA E F 1.5 m 300 N/m 45 1.5 m 1.5 m 1.5 m C 7 Solutions 44918 1/27/09 10:38 AM Page 548 5. 549 75. Determine the internal normal force, shear force, and moment at point C. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 3 m 2 m 1.5 m 1 m 0.2 m 400 N A C B 7 Solutions 44918 1/27/09 10:38 AM Page 549 6. 550 76. Determine the internal normal force, shear force, and moment at point C in the simply supported beam. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. C B A 3 m 4 kN/m 3 m 7 Solutions 44918 1/27/09 10:38 AM Page 550 7. 551 77. Determine the internal normal force, shear force, and moment at point C in the cantilever beam. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. A B C w0 L 2 L 2 7 Solutions 44918 1/27/09 10:38 AM Page 551 8. 552 *78. Determine the internal normal force, shear force, and moment at points C and D in the simply supported beam. Point D is located just to the left of the 5-kN force. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. A C D B 3 kN/m 5 kN 3 m1.5 m 1.5 m 7 Solutions 44918 1/27/09 10:38 AM Page 552 9. 553 79. The bolt shank is subjected to a tension of 80 lb. Determine the internal normal force, shear force, and moment at point C. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. A B C 90 6 in. 7 Solutions 44918 1/27/09 10:38 AM Page 553 10. 554 710. Determine the internal normal force, shear force, and moment at point C in the double-overhang beam. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. A C B 1.5 m 3 kN/m 1.5 m 1.5 m 1.5 m 7 Solutions 44918 1/27/09 10:38 AM Page 554 11. 555 711. Determine the internal normal force, shear force, and moment at points C and D in the simply supported beam. Point D is located just to the left of the 10-kN concentrated load. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. A C D B 1.5 m 6 kN/m 10 kN 1.5 m 1.5 m 1.5 m 7 Solutions 44918 1/27/09 10:38 AM Page 555 12. 556 *712. Determine the internal normal force, shear force, and moment in the beam at points C and D. Point D is just to the right of the 5-kip load. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 6 ft 6 ft 6 ft 6 ft 5 kip 0.5 kip/ft A C D B 7 Solutions 44918 1/27/09 10:38 AM Page 556 13. 557 713. Determine the internal normal force, shear force, and moment at point D of the two-member frame. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 2 m 1.5 m 250 N/m 300 N/m 4 m A C D E B 7 Solutions 44918 1/27/09 10:38 AM Page 557 14. 558 714. Determine the internal normal force, shear force, and moment at point E of the two-member frame. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 2 m 1.5 m 250 N/m 300 N/m 4 m A C D E B 7 Solutions 44918 1/27/09 10:38 AM Page 558 15. 559 715. Determine the internal normal force, shear force, and moment acting at point C and at point D, which is located just to the right of the roller support at B. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 200 lb/ft200 lb/ft 300 lb/ft 4 ft A F E C B D 4 ft4 ft4 ft *716. Determine the internal normal force, shear force, and moment in the cantilever beam at point B. A 6 kip/ft B 12 ft3 ft 7 Solutions 44918 1/27/09 10:38 AM Page 559 16. 560 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 717. Determine the ratio of for which the shear force will be zero at the midpoint C of the double-overhang beam. a>b BC a b/2 b/2 w0 a A BC 7 Solutions 44918 1/27/09 10:38 AM Page 560 17. 561 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 718. Determine the internal normal force, shear force, and moment at points D and E in the overhang beam. Point D is located just to the left of the roller support at B, where the couple moment acts. 2 kN/m 5 kN 3 m 1.5 m 3 4 5 A D B E C 6 kN m 1.5 m 7 Solutions 44918 1/27/09 10:38 AM Page 561 18. 562 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 719. Determine the distance a in terms of the beams length L between the symmetrically placed supports A and B so that the internal moment at the center of the beam is zero. w0 w0 A B L a 2 a 2 7 Solutions 44918 1/27/09 10:38 AM Page 562 19. 563 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. *720. Determine the internal normal force, shear force, and moment at points D and E in the compound beam. Point E is located just to the left of the 10-kN concentrated load.Assume the support at A is fixed and the connection at B is a pin. 10 kN 2 kN/m D B E C A 1.5 m 1.5 m 1.5 m 1.5 m 7 Solutions 44918 1/27/09 10:38 AM Page 563 20. 564 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in