Load Combinations to AS1170.0

Verified by the CalcTree engineering team on October 22, 2024
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This calculator evaluates the load combinations to AS1170.0 for ultimate and serviceability limit states, which includes the dead load, live load, wind load and earthquake load. 
All calculations are performed in accordance with AS1170.0-2002.
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CalculationAssumptions
The input and output data is unitless, so that any unit can be used as long as the user inputs consistent units. 
1. Properties1.1. Design Actions
As per section 1.5 of AS1170.0, actions on a structural element have the following notation:
﻿﻿G:
 Permanent action, self-weight or 'dead' action
﻿﻿Q:
 Imposed ('live') action, due to occupancy and use
﻿﻿Wu​:
 Ultimate wind action
﻿﻿Ws​:
 Serviceability wind action
﻿﻿Eu​:
 Ultimate earthquake action
﻿﻿Es​:
 Serviceability earthquake action
﻿﻿Su​:
 Action for snow, liquid pressure, rainwater ponding, ground water or earth pressure, where appropriate to the design situation
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Note: the ultimate and serviceability wind and earthquake actions vary in the recurrence interval (or annual exceedance probability) used to determine them.  
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1.2 Short-term, long-term and combination factors
As per table 4.1, the factors, ﻿ψs​,ψl​,ψc​ and ψE​
 depend on the distributed imposed actions ﻿(Q)
. These values vary based on the type of imposed action, such as those applied to floors, roofs, or other structural elements. The user should select the combination factors appropriate for their design. 
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2. Ultimate Load Combinations2.1 Strength, ﻿Ed​
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As per clause 4.2.2, the basic combinations for the ultimate limit states used in checking strength shall be as follows:
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135​
67.5​
13.5​
202.5​
67.5​
0​
345​
105​
19.5​
330​
165​
0​
210​
78​
15​
240​
102​
0​
420​
136​
21​
350​
234​
0​
210​
85​
12​
185​
135​
0​
450​
150​
30​
270​
230​
0​
480​
155​
28.5​
210​
260​
0​
2.2 Stability, ﻿Ed,stb​
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As per clause 4.2.1, the basic combinations for the ultimate limit states used in checking stability shall be as follows:
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90​
45​
9​
135​
45​
0​
135​
67.5​
13.5​
202.5​
67.5​
0​
345​
105​
19.5​
330​
165​
0​
420​
136​
21​
350​
234​
0​
450​
150​
30​
270​
230​
0​
510​
161​
29.5​
230​
274​
0​
3. Serviceability Load Combinations3.1 Serviceability
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100​
50​
10​
150​
50​
0​
105​
21​
3.5​
70​
49​
0​
48​
16​
1.2​
20​
36​
0​
100​
50​
10​
150​
50​
0​
100​
50​
10​
150​
50​
0​
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Load Combinations to AS1170.0

Calculation

Assumptions

1. Properties

1.1. Design Actions

1.2 Short-term, long-term and combination factors

2. Ultimate Load Combinations

2.1 Strength,

$E_{d}$

2.2 Stability,

$E_{d, s t b}$

3. Serviceability Load Combinations

3.1 Serviceability


135	67.5	13.5	202.5	67.5	0
345	105	19.5	330	165	0
210	78	15	240	102	0
420	136	21	350	234	0
210	85	12	185	135	0
450	150	30	270	230	0
480	155	28.5	210	260	0


100	50	10	150	50	0
105	21	3.5	70	49	0
48	16	1.2	20	36	0
100	50	10	150	50	0
100	50	10	150	50	0


100	50	10	150	50	0
105	21	3.5	70	49	0
48	16	1.2	20	36	0
100	50	10	150	50	0
100	50	10	150	50	0

Load Combinations to AS1170.0

Calculation

Assumptions

1. Properties

1.1. Design Actions

1.2 Short-term, long-term and combination factors

2. Ultimate Load Combinations

2.1 Strength, ﻿Ed​﻿

2.2 Stability, ﻿Ed,stb​﻿

3. Serviceability Load Combinations

3.1 Serviceability

2.1 Strength,

$E_{d}$

2.2 Stability,

$E_{d, s t b}$


100	50	10	150	50	0
105	21	3.5	70	49	0
48	16	1.2	20	36	0
100	50	10	150	50	0
100	50	10	150	50	0