Using step functions, construct a bending moment equation for the entire beam.

Please follow these instructions to construct your bending moment equation:

To construct a polynomial, you must select a series of terns and typein the corresponding coefficients

The order of terms does not matter so long as each coefficient is attached to the correct term

Note that $x$ is defined as positive from left to right, starting at $A$

Coefficients must be numerical values and not include ary variables. They may be negatime.

Use units of $kN$ and $m$ when ealculating and entering coefficients

There may be more terms shown below than is required for your function. If you do not need excess terms, please set it to

Select and create a bending moment equation below:

Tip: The notation $"$ in the drop boxes denotes use of step functions ralsed to powers as taught in class.

Use the sign convention for positive internal bending moment taught in class

Part Two: Boundary Conditions

Part Two: Boundary Conditions

Select two boundary conditions for this problem. The two conditions selected should be different:

Boundary Condition $1$:

Boundary Condition $2$:

Part Three: Constants of Integration

Using the integration method, find a function for the deflection of the beam, $v(x)$

In terms of the flexural rigidity $EI,$ what are the values of the constants of integration?

$C_1=\frac{,}{E}I$

$C_2=\frac{,}{E}I$

Part Four: Deflection and Slope at Free End

What is the magnitude of deflection at the free end at $C?$

$v_C=$

$mm$

Which direction is this deflection acting?

What is the magnitude of slope of the beam at the free end at $C?$

${}_C$

radians

Which direction is this slope orientated?