PLAIN AND CIVIL: EXAMPLE 7.0.3. APPLICATION OF EQUILIBRIUM OF CONCURRENT COPLANAR FORCES

Thursday, 7 March 2019

EXAMPLE 7.0.3. APPLICATION OF EQUILIBRIUM OF CONCURRENT COPLANAR FORCES

Wrecked cars can have their frames straightened by a device shown. Determine the tensile force for segments AB and BC if the hydraulic cylinder BD exerts 3.5 kN on point B as shown.

The FBD for this system is as shown. Without any given angles for the inclination of the forces, use the dimensions to determine the slope of these forces.

By taking the equilibrium of the vertical forces, you can determine force BC.

   $\sum F_{y}=0\uparrow$

$\frac{9}{\sqrt{145}}3.50-\frac{9}{\sqrt{106}}F_{BC}=0$

   $\mathbf{{\color{Red} F_{BC}=2.99kN}}$

Take the summation of horizontal forces to solve for the force at segment AB.

   $\sum F_{x}=0\rightarrow$

   $-F_{AB}+\frac{8}{\sqrt{145}}3.50+\frac{5}{106}F_{BC}=0$

   $F_{AB}=\frac{8}{\sqrt{145}}3.50+\frac{5}{106}2.99$

   ${\color{Red} \mathbf{F_{AB}=3.78kN}}$

RELATED TOPICS:

EQUILIBRIUM OF FORCE SYSTEMS

1 comment:

lost_in_woods27 June 2019 at 21:41
thank you for posting very informative for help go to the link Structural Analysis in USA
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Thursday, 7 March 2019

EXAMPLE 7.0.3. APPLICATION OF EQUILIBRIUM OF CONCURRENT COPLANAR FORCES

1 comment: