Assignment7_solution.pdf - SOLUTION OF ASSIGNMENT 7 Find...

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SOLUTION OF ASSIGNMENT 7 Find the member forces in this truss via the Method of Joints and Ritter Method. Ritter Method for D 2 , U 1 and O 2 For O 3 , D 3 , U 2 , a similar cut is made as well. 1.5 m 1 kN 10 m 2.5 m 2.5 m 2.5 m 2.5 m 2.5 m 2.5 m 1 kN 1 kN 1 kN 1 kN 1 kN 1 kN B A M A =0 1*2.5+1*5+1*7.5+1*10+1*12.5 -1*2.5-B y *10=0 B y = 3.5 kN  Y=0 A y +B y -7=0 A y = 3.5 kN X =0 A x = 0 or as the system and loading are symmetrical A y = B y = 3.5 kN Equilibrium equations at point 1: Y=0 D 1 *sin31+1=0 D 1 = -1.94 kN X=0 D 1 *cos31+O 1 =0 O 1 = 1.66 kN 1 kN O 1 D 1 1 1 kN O 2 V 1 2 O 1 Equilibrium equations at point 2: Y=0 V 1 +1=0 V 1 = -1 kN X=0 O 2 -O 1 =0 O 2 = 1.66 kN 1 kN 2.5 m 1 kN 1 2 O 2 U 1 O 1 D 1 D 2 O 1 O 2 O 3 O 4 O 5 O 6 D 1 D 2 D 3 D 4 D 5 D 6 U 1 U 2 U 3 U 4 Cut I : M 4 =0 -U 1 *1.5+3.5*2.5-1*2.5-1*5=0 U 1 = 0.83 kN  Y=0 3.5-1-1 +D 2 *sin31= 0 D 2 = -2.91 kN For O 2 M 3 =0 O 2 *1.5-1*2.5=0
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  • Fall '17
  • Canan Girgin
  • Berlin U-Bahn, kN, Equilibrium Equations, Haplogroup O3

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