Question $1$

A rigid beam $AB,$ pinned at end $A,$ is supported by a wire $CB$ and loaded by a force $P$ at end $B($see figure$).$

It is known that $L=b=1\mathrm{.}0m.$ If the beam rotates $1$ clockwise due to the applied load, calculate the magnitude of the

vertical motion of point $B$ and the normal strain in the cable as a result of the beam rotation using

Question $1$

A rigid beam $AB,$ pinned at end $A,$ is supported by a wire $CB$ and loaded by a force $P$ at end $B($see figure$).$

It is known that $L=b=1\mathrm{.}0m.$ If the beam rotates $1$ clockwise due to the applied load, calculate the magnitude of the

vertical motion of point $B$ and the normal strain in the cable as a result of the beam rotation using appropriate

approximations. appropriate

approximations.

Angle conversion from degrees to radians: ${}_{\text{r}\text{a}\text{d}}={}_{\text{d}\text{e}\text{g}}**\frac{}{180}$

Angle conversion from radians to degrees: ${}_{\text{d}\text{e}\text{g}}={}_{\text{r}\text{a}\text{d}}**\frac{180}{}$

Right triangles:

Pythagoras theorem: $c=\sqrt[\phantom{2}]{a^2+b^2},$ where c is the hypotenuse of a right triangle and b and c are the other two

sides

$b=c**sin,a=c**cos,a=c**cos,$ where $$ is the angle between the hypotenuse and side a

Similar triangles:

$\frac{H_1}{a+b}=\frac{H_2}{a}=tan$

$1$ meter $=100cm=1000mm$