Deflections interpretation rules

Deflections association table treated in various codes:

 

Deflections association table

Wnet,fin = Wmax; Wfin = Wtot; Wcreep = w2 (Qu.C.); Winst = w1 + w3 (Ch.C.)

Fig. 1. EN(NEN-EN, NBN-EN...)1990 (a) vs NEN-EN 1995 (b)

 

 

Deflections association table: old code interpretation

Fig. 2. ENV 1993-1-1 1(old code) interpretation

 

 

Deflections association table: NEN code interpretation

Fig. 3. NEN6702:2001

 

EN, NEN-EN, NBN-EN 1990;

NEN-EN 1995

(Fig. 1)

ENV 1993-1-1 (old code)

(Fig. 2)

NEN6702:2001

(Fig. 3)

Description

w1

(Pre-camber (wc) isn't taken in to calculation of w1)

δ1 (including precamber - δ0 if it persist)

Uon (including precamber - Uze if it persist)

Initial part of the deflection under permanent loads of the relevant combination of actions immediately after loading. Pre-camber (wc) isn't taken in to calculation of w1

w2

wcreep (NEN-EN 1995)

Not explicitly represented in the code

Ukr

Long-term part of the deflection under permanent load

w3

Not explicitly represented in the code

Not explicitly represented in the code

Additional part of the deflection due to the variable actions of the relevant combination of actions

wc

Positive value – opposite to regular deflections

δ0

Uze

Pre-camber in the unloaded structural member (not calculated, user defined value)

wtot

(w1+ w2+ w3)

Not explicitly represented in the code

Utot

Total deflection pre-camber (wc) isn't taken in to calculation

wmax

(w1+ w2+ w3) - wc

δmax

Ueind

(Ueind = Utot - Uze)

Remaining total deflection, where with taking in to account pre-camber

(w2+ w3)

Not explicitly represented in the code

δ2 or δz (as Delta_z)

Ubij

Variation of the deflections due to variable loading + time dependent deformations due to permanent load. Exploitation stage of the building

(w1+ w3)

Winst (NEN-EN 1995)

Not explicitly represented in the code

Not explicitly represented in the code

Uel

Initial part of the deflection under permanent loads and additional part of the deflection due to the variable actions of the relevant combination of actions immediately after loading

 

Working sample:

1. W1_from_analysis = 1;

2. Camber Wc = 2;

3. W1 = W1_from_analysis = 1

4. W2 = 4 (from analysis);

5. W3 = 5 (from analysis);

6. Wtot = W1+W2+W3 = 1+4+5 = 10 (no camber influence);

7. Wmax = Wtot - Wc = 10-2 = 8 (positive influence of camber upwards direction is added);

   In case Wc = -2, then camber is downwards (could be in renovation because of damage)

   UC -> Wmax/limit_defl -> depend on camber Wc

   UC-> (W2+W3) /limit_defl -> undepend on camber Wc