Assignment

Problem $1$

For each of the frames in Figure $1,$ solve for the reactions and draw the axial, shear, and moment diagrams. Your final answers and presentation of them is the only thing that will be graded, so you need only show the work you needed to arrive at the answer. For each frame, your final presentation must include the following:

A free body diagram $($F$.$B$.$D$.)$ for the full frame showing all applied loads and reactions. Arrows showing reactions must indicate the direction the reaction acts.

Separate F$.$B$.$D$.\text{'}$s for each member that shows all applied loads and the member end forces

Separate axial, shear, and moment diagrams must be provided for each member $($that is$,$ an exploded view as shown in class$),$ with the diagrams oriented in the direction of the member

Axial load diagram must label the forces as tension $($T$)$ or compression $($C$)$

Shear diagrams must label the following values:

Shear at ends of the frame members

Shear on both sides of a jump in the shear diagram

Maxima$/$minima shears

Location of zero shear force $($you need this to determine the maxima$/$minima moments!$)$

Moment diagrams must be drawn on the compression side of the frame member, with labels for the following values:

Moment at ends of the beam

Moment on both sides of a jump in the moment diagram

Maxima$/$minima moments

A$.$ Birely

$1$

Texas A&M University

The member F$.$B$.$D$,$ axial diagram, shear diagram, and moment diagram should be lined up $($stacked for horizontal members; side$-$by$-$side for vertical members$)$

For frames with values provided, you must include units, however it is sufficient to write this next to the F$.$B$.$D$.,$ axial diagram, V diagram, and M diagram, rather than writing units after every value.

Diagrams and labels must be large and clear enough to be easily read

$($a$)$ Fiaile $$

$($b$)$ Frame B

Figure $1$: Frames for HW R$5$