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Because (to my understanding your problem is more in the interpretation of derivatives rather structural mechanics) I will try to explain it in parallel example. Hopefully it will make sense. Imagine a car accelerating with $a [m/s^2]$, and at some point in time t suddenly decelerating at $- a [m/s^2]$. The acceleration in time t will abruplty change from ...

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Your moment equation is missing the positive moment, $PL$ at the left support. $$M= PL-P(L-x)$$

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As addressed before, you should formulate the problem with the x-axis pointing from the free end to the fixed end, which is the conventional method, and was used by the wiki example as well. On wiki example: I've carefully reviewed the wiki example, the solution seems incorrect. However, I've failed to pinpoint the root problems, as the steps jump around ...

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Assume $L_1$ is perfectly welded to the steel post, there are two potential failure modes - 1) $L_2$ (similar to cantilever) fail in bending, and 2) failure of the weldment due to combined stresses (shear and bending stresses). Determine $t$: $M = R*b$ Assume effective bearing width = $2*b$, $45^o$ spread from the center of bearing. $S = \dfrac{2*b*t^2}{... 1 If you assume the bottom part of the angle as a longer section made up of two parts with two I's, one much larger than the other, it will give you a better aproximation. lets call the angle thickness, t and it's side L. then you have a cantilver beam of length $$legth= t+L$$ That is composed of two sections and is loaded with a uniform loading only over the ... 0 simplest approach (cantilever beam) Assuming that: the angle is fixed on the$L_1$there are no worries about detacking the load on the$L_1\$ part is known and uniform then the easiest way to determine the maximum load is to consider the horizontal part as a cantilever beam with a uniform load. Figure: Cantilever beam with uniform load sourceEngineering ...

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The steel beam is subjected to two conditions that are to be considered in the design: Composite with the concrete floor to carry the tributary floor load. You can find the plate thickness through the required properties of the composite beam. A built-up beam with the cover plate acting as the (cantilever) bearing support for the concrete strip in the ...

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Slimfloor composite beam is the tension part of the composite beam that has the floor slab as its compression part. So its size has to be solved and calculated by applying the appropriate floor loads to the assembly of the concrete flange on top, steel on the bottom. Then Calculate the moment and shear, and plug in the depth and section properties of the ...

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