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Why are the ETV and ITC values used for LTV?

I read in a document that ETV and ITC values are used for computing LTV (load transfer analysis) in structural analysis. Why is that?

Let's say I have a structure such as:

We'll represent the left-hand column as $L$, the right-hand column as $R$ and the beam $b$ as $B$.

The "load" is the load at the bottom of the beam, so it's $P$. The boundary conditions are $p_1=p_2=0$.

The forces are $N$, the in-plane forces, and $M$, the out-of-plane forces.

We'd like to calculate the amount of displacement of the beam, $u$, that arises from the load and boundary conditions. If I have a displacement element (in the direction of the red arrow) of the beam, it's the integral of its displacement component in the beam $u_b$. In other words, the integral of $L$ across $b$.

Let's look at the different forces acting on the top surface of the beam.

1. Direct force on the top surface of the beam, i.e. the vertical load $P$: it acts equally in the left-hand and right-hand sides of the beam. The top surface of the beam will therefore move rightwards by the distance $p_1$ (as shown in the diagram, with the same amount in the left-hand side as in the right-hand side).

That distance is the distance between the red points, so it's a little under 2 m. Since both sides of the beam have been moved by the same distance, the total displacement of the beam from left to right is two metres.

2. In-plane force: $N$ acts equally in the left-hand and right-hand sides of the beam, so it causes no displacement.

3. Out-of-plane force: $M$: the out-of-plane force acts equally in the left and right-hand sides of the beam, so it causes no displacement. 0b46394aab

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