Hello. Can anyone explain to me how we came to find the reaction forces? and why there is no horizontal component in C?

Question

anonymous · Answer

http://www.mathalino.com/sites/default/files/reviewer-strength/01-stress/119-pin-in-double-shear.gif http://www.mathalino.com/sites/default/files/reviewer-strength/01-stress/119-fbd-pin-in-double-shear.gif

mrnood · Answer

The force acting at A is resolved into vertical and horizontal components

The Vertical force act through the pivot B and is resisted by the anchorage at B

The horizontal component creates a CW moment about B (Force * lever length)

The point C is shown as a point or roller contact - it cannot create a horizontal force since it is not connected to the arm - i.e. the arm would slide over it.

The reaction force is vertical, and creates a CCW moment about B.

The Two moments are equal (since we have equilibrium) so you can calculate the reaction force at C sinc you have the 2 moment arms.

There IS a horizontal reaction at B - which resists the horizontal component of the applied force at A)

anonymous · Answer

And the resultant at B would be the shear force on the pin at B? @MrNood

mrnood · Answer

There are typically 2 shear faces in a pin like B

The shear force is the resultant - but the shear stress is divided between the 2 faces

anonymous · Answer

T= B/2A :D got.. Thanks :D