Abstract
This study concerns the combination of the permanent and the variable loads in the structural design. The Eurocodes are used as a reference. Three new findings are presented: (1) In each physical structure, and in every load pair of the permanent load and the variable load, the maximum variable load is the service time load, the 50-year load, i.e., the high value of the variable load. Therefore, no load reduction should be applied in the combination. (2) The governing hypothesis is the independent load combination (ILC) with random load pairs and random single loads. However, the load pairs are not independent as normally one variable load occurs simultaneously in multiple structures and in multiple load pairs inducing correlation between the loads, ultimately full correlation, and the dependent load combination (DLC). (3) In the current Eurocodes, the design load combination applies to one load pair only. However, one design load combination virtually always applies to multiple load pairs which demands using the DLC. The authors have explained earlier that the permanent and variable loads should be combined dependently as the ILC contradicts the physics. The new findings support this conclusion. Changing the current codes towards the DLC approach would simplify them and eases their use in the structural design work.
Highlights
We present the following five arguments to justify that the permanent load and the variable load should be combined dependently: 1
The load combination is a combination of a random permanent load and a fixed
One design load combination simultaneously applies to multiple structures and physical load combinations, the design load combination must be valid in all these physical load combinations, the independent load combination (ILC) is unsafe
Summary
This article addresses the combination of permanent and variable loads only. The. Eurocodes and corresponding steel, timber and concrete codes are used as references [1,2,3,4]. Some further terms are cleared up: Design load combination. The load combination which is made in the structural design from the deterministic load table values of permanent and variable loads. The design load combination can be made in three alternative ways, independently, dependently, and semi-dependently. The semi-dependent combination is omitted here as it is not applied in any codes
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