Calculating Reactions at C & D Using 2 Force System | Step-by-Step Guide

[formulajoe]

i attached a picture of what it looks like. I am supposed to find the reactions at c & d, and the reactions at a & c. i think its supposed to be done using a 2 force system. i have no clue how to even start this.

 

[quantumdude]

Is this piece attached to anything? Leaning against a wall? On wheels? The reaction is going to be determined by those things. In general, a reaction will have both a vertical and horizontal component. From there, you resolve all forces into components and use Newton's second law.

 

[M98Ranger]

Calculating reactions at C and D using a 2 force system can seem overwhelming at first, but with a step-by-step guide, it can be broken down into manageable steps. Here is a guide to help you solve this problem:

Step 1: Identify the external forces
The first step is to identify all the external forces acting on the structure. In this case, we have two external forces: a downward force of 10 kN at point A and a downward force of 5 kN at point B. These forces will be acting in a vertical direction.

Step 2: Draw the free body diagram
Next, we need to draw a free body diagram of the structure. This will help us visualize all the forces acting on the structure and their directions. Start by drawing a rough sketch of the structure and then add the external forces at their respective points. Remember to also include the reactions at points C and D, which are what we are trying to find.

Step 3: Apply equations of equilibrium
To solve for the reactions at C and D, we will use the equations of equilibrium. These equations state that the sum of all forces in the x-direction and y-direction must be equal to zero. This means that the structure is in a state of static equilibrium.

Step 4: Solve for the reactions at C and D
Using the equations of equilibrium, we can solve for the reactions at C and D. Since we have two unknowns, we will need two equations to solve for them. We can use the sum of forces in the y-direction and the sum of moments at point C as our two equations. Set up the equations and solve for the unknown reactions.

Step 5: Check your answer
Once you have solved for the reactions at C and D, it is important to check your answer. You can do this by substituting the values back into the equations of equilibrium and making sure that they equal zero. If they do, then your answer is correct.

Step 6: Solve for the reactions at A and B
Now that we have the reactions at C and D, we can also solve for the reactions at A and B. To do this, we can use the equations of equilibrium again, this time using the sum of forces in the x-direction and the sum of moments at point A as our two equations.

By following these steps, you should be able to solve for the reactions at C and D using a 2 force system.