Jump to content

Method of joints

Featured Replies

Can anybody tell me how I can use the method of joints here?

I know force T (22900) and force Weng (24525).

I also know that I should start in point 5 

I can't figure out what my equilibrium equations should look like.

Fx= 0 en Fy=0 

Schermafbeelding 2020-03-26 om 20.13.42.png

I would write every vector in terms of components.   T= <-22900, 0>, Weng= <0, -24525>.   The sum of those two forces is <-22900, -24525> and the two forces, "45" and "35" must offset that.  Taking the force in vector "45" to be "x" and in vector "35" to be "y" we have "45"= <0, x> and "35"= <0.6y/1.34, 1.2y/1.34>= <0.45y, 0.90y>.  The sum of those is <0.45y, x+ 0.90y> and that must equal <22900, 24525> so we have 0.45y= 22900 and x+ 0.90y= 24525.  From the first y= 22900/0.45= 50,889.  Then the second is x+ 45800= 24525 so x= 24525- 45800= -21275.  

So vector "45" is <0, -21275> and "35" is <50899(.45), 50899(.90)>= <22904.55, 45809.1>.

The others are done the same way.

Archived

This topic is now archived and is closed to further replies.

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Configure browser push notifications

Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.