QUESTION IMAGE
Question
determine the shear and moment as a function of x, and then draw the shear and moment diagrams. (figure 1)
part c
determine the moment as a function of x.
express your answer in terms of x, where x is in meters.
m=
part d
draw the moment diagrams
click on \add discontinuity\ to add discontinuity lines. then click on \add segment\ button to add functions between the lines.
Step1: Analyze the shear force
The shear force \( V \) is constant along the length of the beam. Since there is a horizontal force of \( 6\space kN \) acting on the beam, the shear force \( V=- 6\space kN\) (negative sign depending on the sign convention, assuming right - hand rule for positive shear).
Step2: Calculate the bending moment
The bending moment \( M \) at a distance \( x \) from the free end (point \( A \)) is calculated using the formula \( M=\int Vdx\). Since \( V = - 6\space kN\), integrating with respect to \( x \) gives \( M=-6x\space kN\cdot m\)
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\(M = - 6x\space kN\cdot m\)