# Math Help - Help Needed Please. Beam Calculations

1. ## Help Needed Please. Beam Calculations

Please see attached sheet for the help required.

I have an answer of 15KN and the length as 2.667. Please can anyone help and show workings out so I can use it as a check,

Many Thanks.

2. ## Re: Help Needed Please. Beam Calculations

Yes, those answers are correct. Start with $\normalsiize \sum F_y = 0$ to find $R_A$. Then use $\normalsize \sum T_A = 0$ to solve for d.

3. ## Re: Help Needed Please. Beam Calculations

Thank you for the quick response,

However, I am unsure of what your mean by Fy and Ta.

Please could you expand on this in more detail to help me understand how you worked this out.

Thanks

4. ## Re: Help Needed Please. Beam Calculations

For the beam to be in equilibrium the sum of all forces acting in the vertical direction (or the y-direction in an x-y coordinate system) must equal 0. So:

$\sum F_y = 0 = R_A + R_B - 10KN - 15KN - 30KN$

You know that R_B = 40KN, so you can solve for R_A.

Also to be in equilibrium the sum of moments (torques) about any point must equal 0. If you take sum of moments about support A you get:

$\sum T_A = 0 = 10KN(0.5m) -15KN(1m) + R_B(1.5m) -30KN(d-1)$

Again, given that R_B = 40KN, you can now solve for d.