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TSC Standards Series · Part 3 of 9

Load Combinations & Partial Safety Factors — TS 498 and TSC 2018

Characteristic load values per TS 498, ULS and SLS combinations per TSC 2018, seismic directional combination rules, and a worked example showing how to establish governing design demands for a typical residential building.

Contents

  1. Characteristic Load Values — TS 498
  2. Gravity ULS Combinations
  3. Seismic Load Combinations — TSC §4.4
  4. Seismic Directional Combination
  5. Serviceability (SLS) Combinations
  6. Worked Example
  7. Comparison: TSC vs ASCE 7 vs EN 1990

1. Characteristic Load Values — TS 498

TS 498:1997 specifies characteristic values for dead loads and imposed loads to be used in Turkish structural design. These values are combined using TSC 2018 combination rules.

Imposed (Live) Loads — TS 498 Table

Occupancy Categoryqk (kN/m²)ψ0ψ1ψ2
Residential — bedrooms, living rooms2.00.70.50.3
Residential — stairs, corridors, terraces3.00.70.50.3
Office3.00.70.50.3
Classroom, reading room3.00.70.60.6
Assembly areas (assembly halls, theaters)5.00.70.70.6
Shopping areas, markets5.00.70.70.6
Storage — light5.01.00.90.8
Storage — heavy7.5+1.00.90.8
Parking — passenger vehicles2.50.70.70.6
Roof — accessible (flat)2.0———
Roof — maintenance only1.5———

ψ factors are the combination coefficients: ψ0 = accompanying value in ULS combinations; ψ1 = frequent value (SLS); ψ2 = quasi-permanent value (long-term deflection, creep). These align with EN 1990 Annex A categories.

Snow Loads

TS 498 does not define regional snow zones — engineers are directed to use TS EN 1991-1-3 with the Turkish National Annex for detailed snow load maps. In practice, a characteristic snow load of sk = 0.75 kN/m² is commonly adopted as the flat-roof value for most of western Turkey (Marmara, Aegean); interior Anatolia uses 1.0–2.0 kN/m² depending on altitude.

Wind Loads

TS 498 §12 specifies a basic wind pressure based on a reference wind speed. For detailed wind analysis, TS EN 1991-1-4 is used. See Article 7 of this series for full wind load calculation procedures.

2. Gravity ULS Combinations

TSC 2018 §4.4.1 specifies the following Ultimate Limit State combinations for gravity loading (no earthquake), consistent with TS EN 1990:

TSC 2018 §4.4.1 — Gravity ULS Combinations
U1: 1.4G
U2: 1.2G + 1.6Q + 0.8Qr (or 1.6S, or 1.6W)
U3: 1.2G + Q + 1.6W (or 1.6Qr, 1.6S)
U4: 0.9G + 1.6W

Where G = dead load; Q = floor live load; Qr = roof live load; S = snow load; W = wind load. The governing combination must be identified for each member and each critical section.

Notation
G = Permanent (dead) load effect
Q = Imposed (live) load effect
W = Wind load effect
S = Snow load effect
E = Earthquake load effect
Practice note: For typical residential buildings, combination U2 (1.2G + 1.6Q) is almost always the governing gravity case for beam and slab design. Combination U4 (0.9G + 1.6W) governs for uplift or tall shear walls where gravity is stabilizing.

3. Seismic Load Combinations — TSC §4.4.2

When earthquake effects are included, TSC 2018 §4.4.2 specifies two seismic combinations that must both be checked:

TSC 2018 §4.4.2 — Seismic ULS Combinations
SE1: (1.2G + Qm) ± Ed
SE2: (0.9G) ± Ed

Where Qm is the reduced (seismic) live load — not the full live load:

TSC 2018 §4.4.2 — Seismic Live Load Reduction
TSCQm = n · ψ2 · Q
Where:
n = number of stories with simultaneous live loading (1.0 for 1–2 storeys; 0.85 for 3–5; 0.70 for 6+)
ψ2 = quasi-permanent coefficient (0.3 for residential; 0.6 for assembly)
Q = characteristic imposed load

For a typical residential building (n = 0.70 for 6+ storeys; ψ2 = 0.3): Qm = 0.70 × 0.3 × Q = 0.21Q. This significantly reduces the seismic mass compared to the full imposed load, reflecting that not all floors are fully loaded during an earthquake.

Common error: Using the full live load Q instead of Qm in the seismic combination overestimates seismic mass and base shear. Always apply the reduction factor n and ψ2 before adding live load to seismic combinations.

4. Seismic Directional Combination

Buildings must be designed for earthquake in both principal horizontal directions simultaneously. TSC 2018 §4.4.2.3 specifies the directional combination rule:

TSC 2018 §4.4.2.3 — Directional Combination
TSCEd = ±Ex ± 0.30·Ey
TSCEd = ±0.30·Ex ± Ey

Both combinations must be considered with all sign permutations (four combinations each direction pair = 8 total), giving the worst-case loading for each structural element. For three-dimensional structures with significant torsional response, TSC §4.4.2.4 requires additional accidental eccentricity of 5% of the building dimension in each plan direction.

Vertical Earthquake Component

For DTS 1 and DTS 2 buildings taller than 60 m, and for specific elements such as cantilever slabs longer than 2 m, horizontal beams of transfer structures, and base-isolated systems, TSC §4.4.2.5 requires inclusion of the vertical earthquake component:

TSC 2018 §4.4.2.5 — Vertical Earthquake Component
TSCEz = ± (2/3) · SDS · G

Where SDS is the short-period design spectral acceleration (see Article 6 on Seismic Design). For most buildings in Turkey under 60 m with regular plan and no cantilevers, Ez is not required.

5. Serviceability (SLS) Combinations

Deflection and crack width checks use unfactored or reduced load combinations. TS 500 §13 and TS EN 1992 specify serviceability limits.

SLS Combinations (TS EN 1990 / TS 500)
Characteristic: G + Q + ψ0·W
Frequent: G + ψ1·Q + ψ0·W
Quasi-permanent: G + ψ2·Q (for deflection, creep)

Deflection Limits — TS 500

ElementLimit (TS 500 §13)Condition
Beams and slabs — totalL / 250Quasi-permanent combination
Beams and slabs — after finishesL / 500To avoid damage to brittle partitions
Cantilever beams — totalLc / 125Quasi-permanent
Roof structureL / 300Including ponding risk
Inter-storey drift (seismic)δmax / h ≤ 0.02TSC 2018 §4.9 (reduced seismic forces)

Crack Width Limits

Exposure Classwmax (mm)Combination
XC1 — dry indoors0.4Quasi-permanent
XC2/3 — humid, outdoor0.3Quasi-permanent
XS1–3, XD1–3 — chloride0.2Frequent
Prestressed (bonded)0.1Frequent

6. Worked Example — Governing Combination for a Beam

A simply-supported beam in an office building floor has the following characteristic loads per unit length:

ULS Gravity Combinations
U1wd = 1.4 × 12 = 16.8 kN/m
U2wd = 1.2 × 12 + 1.6 × 9 = 14.4 + 14.4 = 28.8 kN/m ← governs
SLS Quasi-Permanent (for deflection check)
SLSwSLS = 12 + 0.3 × 9 = 14.7 kN/m

For a 6 m span beam, the design moment is Md = 28.8 × 6² / 8 = 129.6 kN·m at ULS. The quasi-permanent moment for deflection calculation is Mqp = 14.7 × 6² / 8 = 66.2 kN·m, giving a reference deflection to check against L/250 = 24 mm.

7. Comparison: TSC vs ASCE 7 vs EN 1990

Combination RuleTSC 2018ASCE 7-22EN 1990
Gravity-only ULS (basic)1.4G1.4D1.35G
Gravity dominant1.2G + 1.6Q1.2D + 1.6L1.35G + 1.5Q
Seismic combination1.2G + Qm + E1.2D + f1L + Ev + EhG + ψ2Q + AEd
Uplift seismic0.9G ± E0.9D ± Eh ∓ EvGinf + AEd
Directional combinationEx ± 0.3EyEx ± 0.3Ey (100-30 rule)Ex ± 0.3Ey (EN 1998)
Seismic live load fractionn·ψ2·Q (varies 0.21–0.30 for residential)f1L = 0.5L (storage: 1.0L)ψ2·Q (0.3 residential)
SLS deflection limitL/250 (TS 500)L/360 (live only)L/250 (EN 1992)

Key Differences

Preliminary design only. Load combination selection must account for all relevant actions and building-specific conditions. Verify with the project's licensed structural engineer and the current TSC 2018 edition.
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