Question

for a cantilever beam with a point load and a moment , and yield strength of the material specified with young's modulus how do we calculate the point load as well as moment,applied moment is proportional to load as follows (M=10 P).

Answer 1

Task:

For a cantilever beam with a point load and a moment, and yield strength of the material specified with young's modulus how do we calculate the point load as well as moment, applied moment is proportional to load as follows (M=10 P).

Solution:

If you mean bending moments and shear forces then:

$$\Sigma M _ {A _ {x _ {i}}} = 0, \qquad \Sigma Q _ {y _ {i}} = 0, \qquad \Sigma Q _ {z _ {i}} = 0, \qquad R _ {z} = 0$$ $$\Sigma M _ {A _ {x _ {i}}} = M _ {x} - M - 2 P l = M _ {x} - 1 0 P - 2 P l = 0$$ $$M _ {x} = 1 0 P + 2 P l$$ $$\Sigma Q _ {y _ {i}} = R _ {y} - P = 0$$ $$R _ {y} = P$$

Answer:

$$M _ {x} = 1 0 P + 2 P l$$ $$R _ {y} = P$$