Loads calculation features

Load types

MatrixFrame® allows calculation of 4 load types:

  • Dead Loads
  • Imposed Loads
  • Snow Loads
  • Wind Loads

 

Load reports

The Loads Calculation system has a possibility to create new loads reports for the new input. By default the new loads report becomes the automatically numbered LR name (LR1, LR2, LR3, ...). The created loads report may be renamed to a desired name.

 

Calculation input

Index

Description

Calculation

Value

Units

Intended to create variables for loads calculation.

Variables participating in calculations are the variables to which values may be given:

Variable

Unit

Remarks

A

Used as "A". Loaded area

AREA

Used as "Area". Area

C

-

Used as "C". Constant, factor for some calculation

F

kN

Used as "F". Concentrated load

HEIGHT

m

Used as "Height". Total height of structure

L

m

Used as "L". Length

LSYS

m

Used as "Lsys". System length

M

kNm

Used as "M". Moment

PERIOD

Years

Used as "Period". Value used for reference period in probability factor

P

kN/m²

Used as "P". Surface distributed load  

Q

kN/m

Used as "q". Line distributed load

U

m

Used as "u". Imposed load displacement value

VB

m/s

Used as "Vb". Basic wind velocity

VM

m/s

Used as "Vm". Mean wind velocity

WIDTH

m

Used as "Width". Total width of structure

Z

m

Used as "Z". Reference height for calculation point

 

Variable functions (they are united into groups by national codes; in the result, you will see the function the values of which are formed by inputting parameters to the function):

Variable function

Unit

Remarks

Reference to code

ALFA_N

-

Used as "Alfa_n". Reduction factor

EN1991-1-1, NEN-EN1991-1-1#6.3.1.2

B

-

Used as "B". Background factor

EN1991-1-4, NEN-EN1991-1-4#C.1

CD

-

Used as "Cd". Dynamic factor or "Cdim"

NEN6702#8.6.3

CE

-

Used as "Ce". Exposure coefficient

EN1991-1-3, NEN-EN1991-1-3#5.2.7

CF

-

Used as "Cf". Force coefficient or Roof roughness coefficient

EN1991-1-4, NEN-EN1991-1-4#5.3 or NEN67028.6.4.5

CFR

-

Used as "Cfr". Friction factor

EN1991-1-4, NEN-EN1991-1-4#7.5

CI

-

Used as "Ci". Internal/external pressure coefficient (Cpi)

NEN6702#8.6.4.4

CO

-

Used as "C0". Orography factor

EN1991-1-4, NEN-EN1991-1-4#A.3

CPE

-

Used as "Cpe". External pressure coefficient

EN1991-1-4, NEN-EN1991-1-4#7.2

CPI

-

Used as "Cpi". Internal pressure coefficient

EN1991-1-4, NEN-EN1991-1-4#7.2.9

CPNET

-

Used as "Cpnet". Wind pressure coefficient

EN1991-1-4, NEN-EN1991-1-4#7.3

CPROB

-

Used as "Cprob". Probability factor

NEN-EN1990, NEN-EN1991-1-4#4.2, NEN-EN1991-1-3#D.1

CQ

-

Used as "Cq". Ceq

NEN6702#8.6.5

CR

-

Used as "Cr". Roughness factor for terrain roughness

EN1991-1-4, NEN-EN1991-1-4#4.3.2

CS

-

Used as "Cs". Size factor or "Ci" (form factor)

EN1991-1-4, NEN-EN1991-1-4#6.3.1(6.2) or NEN6702#8.7.2.1

CSCD

-

Used as "CsCd". Structural factor

EN1991-1-4, NEN-EN1991-1-4#6.3.1

CT

-

Used as "Ct". Thermal coefficient

EN1991-1-3, NEN-EN1991-1-3#5.2.8

D

kN/m³

Used as "D". Material density

EN1991-1-1, NEN-EN1991-1-1#5.2

FK

kN

Used as "fk". Imposed concentrated load

EN1991-1-1, NEN-EN1991-1-1#6.3

MU

-

Used as "Mu". Snow load coefficient

EN1991-1-3, NEN-EN1991-1-3#5.3

PP

kN/m²

Used as "Pp". Characteristic value of uniformly distributed load for self weight

EN1991-1-1, NEN-EN1991-1-1

PR

kN/m²

Used as "Pr". Value of "Prep" for snow

NEN6702#8.7.2.1

PV

kN/m²

Used as "Pv". Characteristic value of uniformly distributed imposed load

NEN6702#8.2.5.2

PW

kN/m²

Used as "Pw". Wind pressure load

NEN6702#8.6.2

QK

kN/m²

Used as "qk". Characteristic value of uniformly distributed load

EN1991-1-1, NEN-EN1991-1-1#6

QP

kN/m²

Used as "Qp". Peak velocity pressure

EN1991-1-4, NEN-EN1991-1-4#4.8

SK

kN/m²

Used as "Sk". Characteristic value of snow on the ground

EN1991-1-3, NEN-EN1991-1-3#4.1

SN

kN/m²

Used as "Sn". Snow load on the ground

EN1991-1-3, NEN-EN1991-1-3

 

The variables will be automatically enumerated while entering variables.

The description of variables is formal, which means that description may be freely changed and does not affect the way of calculation

Index variables may participate in the calculator. Types of variables:

  1. monomial having a numerical value with the relevant units
  2. constant without units
  3. polynomial expressions using mathematical operators
  4. variable functions; their values are created during the operation of a function by inputting the appropriate parameters. There may be no other functions, except the defaults

The index variable numerical value derived by calculation. After changing the variables, the values of new variables will automatically calculated. The values may be used in Loads definition

Intended to show the variable dimensions. The Units are identified automatically

 

Calculation of wind peak velocity pressure qp (EN 1991-1-4#4.5(4.8)) by using of mean wind velocity pressure vm²(z) (EN 1991-1-4#4.3.1(4.3)) contains probability factor cprob in the second degree as cprob².

 

In the standard EN 1991-1-4 the related articles for cprob wind are Art. 4.2, Note 4 & Art. 4.5:

 

4.2 Basic values

NOTE 4 The 10 minutes mean wind velocity having the probability p for an annual exceedence is determined by multiplying the basic wind velocity vb in 4.2 (2)P by the probability factor, cprob given by Expression (4.2). See also EN1991-1-6.

 

4.5 Peak velocity pressure

(1) The peak velocity pressure qp(z) at height z, which includes mean and short-term velocity fluctuations, should be determined.

 

qp(z) = (1 + 7 · Iv(z)) · ½ · ρ · vm²(z) = ce(z) · qb           (4.8)

qb = ½ · ρ · vb²                                                             (4.10)

 

In fact, this means, that qb(50 year) = ½ · ρ · vb² (Art. 4.5), where in case ref<>50 year the vb should be multiplied with cprob according to Art. 4.2, Note 4. This means, that:

qb(x year) = ½ · ρ · (vb · cprob)² = (½ · ρ · vb²) · cprob² = qb(50 year) · cprob²

 

With:

qp(z) = ce(z) · qb

qp(x year) = ce(z) · qb(x year) = ce(z) · ½ · ρ · (vb · cprob)² = ce(z) · qb(50 year) · cprob² = qp(50 year) · cprob²