Determining Reactions for Cantilever and Simply-Supported Beam Loads

[thebest99]

Beam ABC has a 3m cantilever span AB and a 10m simply supported span BC. The beam has a design loadings as follows: load case 1, 28kN/m UDL along span BC. Load case 2: 36kN point load at the end of the cantilever at A.

For each of the load cases, determine the magnitude of the support reactions.

Im new to the structure seen, and have been learning at college. For this do we need forces to left equals forces. If someone could help me through the steps this would be great.

Just practising loads of examples in books thank you.

what i have got is

right, for the load case with the UDL Rb and Rc are both 140kN

For the other load case Rb=46.8 and Rc = -10.8

if someone could tell me if this is right or help me show the working to get the correct anwer be great!

 

[nvn]

thebest99: Your answers are correct. By the way, always leave a space between a numeric value and its following unit symbol. E.g., 28 kN/m, not 28kN/m. See the international standard for writing units (ISO 31-0).

 

[thebest99]

can i see how you worked it out to mine, i did a table thnak you. just to compare different approaches

 

[pongo38]

You haven't shown your working, but the point I would like to make is that you can check your own work easily. For example, in the first case, however you obtained the reactions, using two equations, there is a third equation available to you which should be satisfied (perhaps taking moments about A, for example). Although this doesn't guarantee correctness, it could well reveal an error.

 

[thebest99]

thank you i seem to have sorted the answer out now with working thank you