Chapter 6: Structural Analysis

Example 6.3 Determine the force in each member of the truss. Indicate whether the members are intension or compression.

Example 6.3 Cy 400N 3m A B C Cx 4m 600N Ay 6m

Example 6.3 Cy 400N 3m A B C Cx 4m 600N Ay 6m Cy y x A 600N FAD

Example 6.3 Cy 400N 3m A B C Cx 4m 600N Ay 6m y x D FDB FDC 450N 600N

Example 6.3 Cy 400N 3m A B C Cx 4m 600N Ay 6m C y x 200N FCB 600N 200N

Example 6.4 Using the method of joints, determine all the zero-force members of the Fink roof truss. Assume all joints are pin connected.

Example 6.4 5 kN A B C H G F E D 2 kN G y x Joint G FGC FGF FGH

Example 6.4 5 kN A B C H G F E D 2 kN FDC Joint D x D y FDE FDF

Example 6.4 5 kN A B C H G F E D 2 kN F x y FFC θ O Joint F FFG FFE

Example 6.4 5 kN A B C H G F E D 2 kN Joint B 2 kN B x y FBC FBA FBH

Example 6.7 Determine the force in member EB of the roof truss. Indicate whether the member are in tension or compression.

Example 6.7 1000 N A F E B C D 1000 N 3000 N 1000 N 4000 N 2000 N

Example 6.7 1000 N A F E B C D FED 1000 N 3000 N FEB 1000 N FFB FEDcos30° FAB FEDsin30° 4000 N 2000 N

Example 6.8 Determine the forces acting in the members of the space truss. Indicate whether the members are in tension or compression.

Example 6.8 z y FAB A x P = 4 kN FAC FAE Joint A

Example 6.8 z y 2 kN RAB 45° B FAB = 4kN x FBD FBE Joint B

Example 6.21 The 100kg block is held in equilibrium by means of the pulley and the continuous cable system. If the cable is attached to the pin at B, compute the forces which this pin exerts on each of its connecting members

Example 6.21 B 490.5 N 45° Bx By 490.5 N Pulley B

Example 6.21 By FCB B FAB Bx 490.5 N Pin B