Question

determine the normal force, shear force, and moment at point c. take that ( p_1 = 10 mathrm{kn} ) and ( p_2 = 16 mathrm{kn} ) (figure 1)
part c
determine the moment at point c.
express your answer to three significant figures and include the appropriate units.

Explanation:

Step1: Calculate the moment at point C

The moment \(M_C\) is calculated by considering the moments caused by the forces \(P_1\) and \(P_2\). The formula for moment is \(M = F\times d\), where \(F\) is the force and \(d\) is the perpendicular distance from the point to the line of action of the force.
For \(P_1 = 10\space kN\), the distance from point C is \(1.5\space m\). For \(P_2=16\space kN\), the distance from point C is also \(1.5\space m\).
The moment \(M_C\) is given by \(M_C=P_2\times1.5 - P_1\times1.5\) (using the right - hand rule for moments, assuming counter - clockwise is positive).
Substitute \(P_1 = 10\times10^{3}\space N\) and \(P_2 = 16\times 10^{3}\space N\) into the formula:

$$
LATEXBLOCK0
$$

Step2: Simplify the expression

$$
LATEXBLOCK1
$$

Answer:

\(9\space kN\cdot m\)