To receive marks for this question, you must submit a hard copy of your FBD at the end of your test.  

Consider the frame shown in Figure P16.

The frame consists of multiple beams welded together. The frame is supported at four locations shown in the figure:

• Support A is a pin support.
• Support B is a fixed support.
• Support C and D are guided roller supports.

Draw the complete free-body diagram (FBD) of the beam using the following parameters:

• x_1 = 20\,\text{m}, x_2 = 12\,\text{m}, x_3 = 10\,\text{m}
• y_1 = 6\,\text{m}, y_2 = 10\,\text{m}, y_3 = 3\,\text{m}
• F_1 = 20\,\text{kN}
• F_2 = 40\,\text{kN}
• F_3 = 15\,\text{kN}
• w_1 = 3\,\text{kN/m}
• M_1 = 10\,\text{kN}\cdot\text{m}

Instructions

• Show all external loads acting on the beam.
• Include relevant dimensions shown in the figure.
• Label all reaction forces and moments clearly.
• Include a clearly defined coordinate system (x and y axes, and moments).
• Ensure you use the correct numerical values and units where they are provided.
• Do not calculate reactions. 
• Present distributed loads as correctly labelled distributed loads, i.e., do not present or calculate the equivalent point load.

Use the following sign convention:

• Positive x is to the right.
• Positive y is upward.
• Anti-clockwise moments are taken as positive.