How Do You Calculate the Stress in a Tie Rod Given Specific Load Conditions?

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To calculate the stress in the tie rod given the load conditions, first determine the reaction forces at supports A and C using static equilibrium equations. The tie rod is identified as a two-force member, so applying a cut and taking moments about point A will help isolate the axial force in the rod. The normal stress in the tie rod can then be calculated using the formula stress = force/area, where the area is based on the rod's diameter. The yield strength of the tie rod and the ultimate shear strength of the pins should also be considered to ensure safety under the applied load. Properly applying these principles will lead to an accurate calculation of stress in the tie rod.
falconed
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Hey all!

I have a project question I'm struggling on:
The rigid structure ABD in Figure 1 is supported at B by a 35-mm-diameter tie rod (1)
and at A by a 30-mm-diameter pin used in a single shear connection. The tie rod is
connected at B and C by 24-mm diameter pins used in double shear connections. Tie
rod H has yield strength of 250 MPa, and each of the pins has ultimate shear strength
of 330 MPa. A concentrated load of P = 50 kN acts at D. Determine:
(a) The normal stress in rod (1).

http://img269.imageshack.us/img269/2382/question1a.jpg

My main problem is I am unsure where to place the reaction forces with regards to pins so that I can use moments and forces in the x and y direction to determine the force in the rod. Once i know this I can find the stress in the rod.

Any help would be great!
 
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Place the reaction forces at the supports, A and C. Solve for the reaction forces using statics.
 
Also your tie rod (1) is a two force member.
 
Try making a cut in member (1) and then take the moments about A. You should be able to solve for the axial force directly by using you 3 equations of equilibrium.

Elbarto
 

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