(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have beam supported in three points (one of the support is spring) .

What i know:

P_{R}= 100kN/m

spring constant Z = 10kN/m

I have to calculate bending moments and shear forces in points A, B and Z.

2. Relevant equations

ΣM = 0

ΣF = 0

Spring force : F_{z}=-zx

This is not enoug to solve the problem. I have two equations and three unknowns (V_{A}, V_{B}, and x)

3. The attempt at a solution

I was thinking about finding deflection of the beam in point Z however the shape of the beam between points Z and A is quite complicated. Maybe there is some simpler method and I can't see?

I will be very gratefull for help/hint with that!

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# Beam with two supports + spring

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