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T10 Influence Lines

T10 Influence Lines - Tutorial ONE 317 24 Nov 2009 1 Draw...

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Unformatted text preview: Tutorial, ONE 317, 24 Nov 2009 1) Draw the inﬂuence line for (a) the vertical reaction at B, (b) the moment at C, (c) the shear at C. Assume A is a pin and b is a roller. Solve this problem using Muller- Breslau’s Principle (Problem 6-10, Hibbeler) 2) Draw the influence line for (a) the vertical reaction at B, (b) the moment at C, (c) the shear at C. Solve this problem using Muller-Breslau’s Principle. (Problem 6-12, Hibbeler) 3) Draw the influence line for (a) the moment at A, (b) the moment at B, Assume the support at A is fixed Solve this problem using Muller-Breslau’s Principle. (Problem 6- 14, Hibbeler) 10 ft # MW 10 n 4) Draw the influence line for (a) the moment at C,(b) the vertical reaction at A (c)the vertical reaction at B. There is a short link at E. Solve this problem using Muller- Breslau’s Principle. (Problem 6-15, Hibbeler) 5) Draw the inﬂuence line for (a) the shear at C, (b) the moment at C, (0) vertical reaction at D. There is a short vertical link at B, and A is a pin support. .Solve this problem using Muller-Breslau’s Principle. (Problem 6-18, Hibbeler) 6) The beam supports a uniform dead load of 500 N/M and single live concentrated force of 3000 N. Determine (a) the maximum positive moment that can be developed at point C, and (b)the maximum positive shear that can be developed at point C. Assume the support at A is a pin and B is a roller. (Problem 6-19, Hibbeler) 4,, _ l” m WWW“ ,, 10 m A; 7) A Uniform live load of 0.5 K/ft and a single concentrated force of 20 K are to be placed on the beam. Determine (a) the maximum positive live vertical reaction at support B, (b) the maximum positive live shear at point C and (c)the maximum positive live moment at point C. Assume the support at A is a pin and B is a roller. (Problem 6-25, Hibbeler) 1 as ', I 8) Draw the inﬂuence line for the tension in cable BC. Neglect the thickness of the beam. What is the maximum tension in the cable due to the 6-K loading? (Problem 6-26, Hibbeler) 9) The beam supports a uniform live load of 60 lb/ft and a live concentrated force of ZOOlb. Determine (a) the maximum positive live moment that can be developed at B, and (b) the maximum positive live vertical reaction at D. Assume C is a pin support and D is a roller. (Problem 6-27, Hibbeler) 10) The compound beam is subjected to a uniform dead load of 1.5 KN/m and single live load of 10 KN. Determine (a) the maximum negative moment created by these loads at A, and (b) the maximum positive shear at B. Assume A is a fixed support, 8 is a pin, and C is a roller. (Problem 6-28, Hibbeler) 11) Where should the beam ABC be loaded with a 300-lb/ft uniform distributed live load so it causes (a) the largest live moment at point A and (b) the largest live shear at D? Calculate the values of the moment and shear. Assume the support at A is fixed, B is pinned and C is a roller.( Problem 6-30, Hibbeler) 0*) I“ . 0-) 0») VC ’3) Mc C) #4! or A g B 1-.. N \$0.10,,“ a) 6 ‘ M‘ A ' {x20 ”(c 3006 x5 1' {M .———-—- , k : 2 A [0m C 1,... 3 M) i3°eo N = 4.0900 M: 4—0 km... \$°°~NM 0-5 h V _ . 7 c, VC 1 3000x0£+500 auto .04 (”W10 2 *SOO -ngiﬂO 2 ‘SOOA 2 \.S K! lb L If “R 06 3r» l ' RE‘M): w m-Zs + as 1‘“ "‘5 ‘2 2.32.8 K Jag ' ’05 l0 \4 (M3) 3 ll Q's --'—%"]+ 2030. C) 2 (1.5;? MC{M) 3 0.5 * £220 +20! ’ 21261.13. a} 5 0.1% Rg‘wnn ;, {'75 x7 90 + 60 z 2- Wk 145:3 ___..'-—- Z 10) 0‘) 0 3 x 3\$m(-I6),_.%. 2 " _________—— 1 *9» 2mm 03( 22*? 3 . ‘Z Z! x!) ...
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