ECEV $-$ HMEC $1230$

FINAL EXAM

Fatitiola

Determine the angle $.$between the lines $AB$ and $AC,$

a$)$ By using the law of cosines

b$)$ By using the dot product.

The bar in the figure is supported by the cables $BC$ and $BD$ and a ball and socket support at $A.$ Cable $BC$ is parallel to the $Z$ axis and cable $BD$ is parallel to the $x$ axis. The $200-N$ weight of the bar acts at its midpoint. What are the tensions in the cables and the reactions at $A?$

The frame in the figure is subjected to a $200N-m$ couple. Determine the forces and couples on its members.

For the truss shown, determine the largest tensile and compressive forces that occur in the members, and indicate the members in which they occur, assuming roller support at $H$ and pinned support at A$.$

$3$

Determine $l_y$ and $K_y$ for the composite area in the figure.

The beam in the figure is loaded and supported as shown.

a$)$ Draw the shear force and bending moment diagrams.

b$)$ Label the diagrams properly and provide values at all ke points.

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