Example

Example for Envelopes

Let’s assume a continuous beam of two spans. The beam is subject to load sorted into five load cases.

LC1 – permanent – self weight, distributed load in both spans

LC2 – variable – distributed load in the left span, load group G1

LC3 – variable – distributed load in the right span, load group G1

LC4 – variable – crane, concentrated force in the middle of the left span, load group G2

LC5 – variable – crane, concentrated force in the middle of the right span, load group G2

The variable load cases are divided into two groups:

G1 – imposed floor load, standard group

G2 – crane, exclusive group, only one of the load cases may be acting at the same time

The user defines the following envelopes:

LC1 + 1.2*LC2 + 1.2*LC3 +1.3*LC4 + 1.3*LC5

The program will then generate (explode) the following linear combinations:

LC1

LC1 + 1.2*LC2

LC1 + 1.2*LC3

LC1 + 1.3*LC4

LC1 + 1.3*LC5

LC1 + 1.2*LC2 + 1.2*LC3

LC1 + 1.2*LC2 + 1.3*LC4

LC1 + 1.2*LC2 + 1.3*LC5

LC1 + 1.2*LC3 + 1.3*LC4

LC1 + 1.2*LC3 + 1.3*LC5

LC1 + 1.2*LC2 + 1.2*LC3 + 1.3*LC4

LC1 + 1.2*LC2 + 1.2*LC3 + 1.3*LC5

Example for Code-related combination

Let’s assume a continuous beam subject to several loads.

image\combi_beam_1.gif

image\Combi_LoadCases.gif

LC1

self weight

V1

image\combi_beam_2.gif

V2

image\combi_beam_3.gif

V3

image\combi_beam_4.gif

V4

image\combi_beam_5.gif

S1

image\combi_beam_6.gif

S2

image\combi_beam_7.gif

Let’s define a code-related combination to Eurocode. The combination definition contains all the defined load cases.

Name

Type

Load cases

Coefficiens

UEC

EC – ultimate

LC1

V1

V2

V3

V4

S2

S2

1.00

1.00

1.00

1.00

1.00

1.00

1.00

SCIA Engineer creates a set of "dangerous" combinations for the given definition:

UEC.1

User – ultimate

LC1

1,35

UEC.2

User – ultimate

LC1

V1

V2

V3

V4

1,35

1,50

1,50

1,50

1,50

UEC.3

User – ultimate

LC1

V1

V2

V3

V4

1,00

1,50

1,50

1,50

1,50

UEC.4

User – ultimate

LC1

S1

S2

1,35

1,50

1,50

UEC.5

User – ultimate

LC1

S1

S2

1,00

1,50

1,50

UEC.6

User – ultimate

LC1

V1

V2

V3

V4

S2

S2

1.35

1.35

1.35

1.35

1.35

1.35

1.35

UEC.7

User – ultimate

LC1

V1

V2

V3

V4

S2

S2

1.00

1.35

1.35

1.35

1.35

1.35

1.35

When displayed in the Document, the Combinations table looks like:

image\Combi_Document.gif