Question

in (figure 1), take that w0 = 6.0 kn/m. replace the distributed loading with an equivalent resultant force. problem 6 figure 1 of 1 part b specify its location on the beam measured from point o. express your answer to three significant figures and include the appropriate units. incorrect; try again; 2 attempts remaining provide feedback previous answers request answer

Explanation:

Step1: Calculate the resultant force of the triangular - distributed load

The area of a triangle is $A=\frac{1}{2}bh$. Here, the base $b = 4.5$ m and the height $h=w_0 = 6.0$ kN/m. So, $F=\frac{1}{2}\times4.5\times6.0=13.5$ kN.

Step2: Determine the location of the centroid of the triangular - distributed load

The centroid of a triangle from the vertex is at a distance of $\frac{1}{3}$ of the base length along the base. The total length of the load - distribution is $L = 4.5$ m. The location of the centroid of the triangular - distributed load from point $O$ is $\bar{x}=\frac{1}{3}\times4.5 = 1.5$ m from the bottom - most point of the load distribution. So, $\bar{x}=3 + 1.5=4.5$ m from point $O$.

Answer:

$\bar{x}=4.5$ m