A horizontal beam $\text{'}$A$\text{'}$ B has a length of $6$ meters. The left end $\text{'}$A$\text{'}$ is supported by a pin on a horizontal surface, and the right end B is supported by a roller on the horizontal surface. A clockwise torque of $30$ kilonewton meters is applied to end B of the beam. Distance x is measured horizontally rightward from pin $\text{'}$A$\text{'}.$

Part A

Express the shear function in terms of x$.$

Express your answer in kilonewtons in terms of x$.$

Part B

Express the moment function in terms of x$.$

Express your answer in kilonewtons in terms of x$.$

Part C

Draw the shear diagram for the beam.

Click on "add vertical line off" to add discontinuity lines. Then click on "add segment" button to add functions between the lines.

Note $-$ Make sure you place only one vertical line at places that require a vertical line. If you inadvertently place two vertical lines at the same place, it will appear correct visually because the lines overlap, but the system will...

Part D

Draw the moment diagram for the beam.

Click on "add vertical line off" to add discontinuity lines. Then click on "add segment" button to add functions between the lines.

Note $1-$ Make sure you place only one vertical line at places that require a vertical line. If you inadvertently place two vertical lines at the same place, it will appear correct visually because the lines overlap, but the system will mark it wrong.

Note $2-$Be sure to indicate the correct types of the functions between the lines, e$.$g$.$ in your answer the type of a function is "linear increasing slope" for the function that actually has linear decreasing slope, the answer will be graded as incorrect. Use the button "change segment" if necessary.