Table B5_3|www.BuildingHow.com

VOLUME A
The art of construction and detailing
Introduction
The structural frame
- Introduction
- Structural frame elements
  - Columns
  - Beams
  - Slabs
  - Staircases
  - Foundation
- STRUCTURAL FRAME LOADING
- BEHAVIOR OF THE STRUCTURAL FRAME
  - The behavior and reinforcement of a slab
  - Behavior and reinforcement of beams and columns
Construction methods
- The materials
- The moulds
- Thermal insulation of structural elements
- Concrete
- The steel
- Reinforcement specifications of antiseismic design
- Industrial stirrups - stirrup cages
- Standardized cross-sections of reinforced concrete elements
Reinforcement
- Columns
- Shear walls
- Composite elements
- Beams
- Slabs
- Staircases
- Foundation
Quantity surveying
- Estimation of the concrete’s quantity
- Estimation of the formworks’ quantity
- Estimation of the spacers’ quantity
- Estimation of the reinforcements' quantity
- Total estimation of the materials’ quantities
- Optimization of the reinforcement schedule
- Estimation of the structural frame’s cost
- Electronic exchange of designs - bids - orders
Detailing drawings
- General
- The drawings’ title block
- Carpenter’s drawings
- Steel fixer’s drawings
Tables
- Table 1
- Table 2
- Table 3
Drawings
- Carpenter’s drawings
- Steel fixer’s drawings
Model (exemplary) construction

« Table B5_2 Table B5_4 »

Table B5_3

Two-way slab with two opposite fixed edges and the rest simply supported
Bending moments M - Deflections f - Shear forces V - Equivalent uniform reactions p

p_x=k_x· p, p_y=k_y· p

M_x=ν_x· p_x· l_x²/8

M_y=ν_y· p_y· l_y²/24

M_yerm=-p_y· l_y²/12

f_m=a_m· p· l_x⁴/(E· h³)

V_xr=ρ_xr· p· l_x

V_yerm= ρ_yerm· p· l_x

p_xr=υ_xr· p· l_x

p_yerm= υ_yerm· p· l_x

ε=l_y/l_x	k_x	k_y	ν_x	ν_y	ν'_x	ν'_y	a _m	ρ_xr	ρ_yerm	υ_xr	υ_yerm
0,500	0,012	0,988	0,959	0,931	0,979	0,966	0,0018	0,144	0,250	0,072	0,214
0,525	0,015	0,985	0,955	0,925	0,977	0,962	0,0022	0,152	0,263	0,076	0,223
0,550	0,018	0,982	0,950	0,918	0,975	0,959	0,0027	0,159	0,275	0,079	0,231
0,575	0,021	0,979	0,946	0,910	0,973	0,955	0,0032	0,166	0,288	0,083	0,240
0,600	0,025	0,975	0,942	0,903	0,971	0,951	0,0037	0,173	0,300	0,087	0,248
0,625	0,030	0,970	0,937	0,895	0,968	0,947	0,0043	0,180	0,313	0,090	0,256
0,650	0,034	0,966	0,932	0,887	0,966	0,943	0,0050	0,188	0,325	0,094	0,264
0,675	0,040	0,960	0,927	0,879	0,964	0,939	0,0058	0,195	0,338	0,097	0,272
0,700	0,046	0,954	0,922	0,870	0,961	0,935	0,0066	0,202	0,350	0,101	0,279
0,725	0,052	0,948	0,917	0,862	0,958	0,931	0,0075	0,209	0,363	0,105	0,287
0,750	0,060	0,940	0,912	0,853	0,956	0,927	0,0085	0,217	0,375	0,108	0,294
0,775	0,067	0,933	0,907	0,845	0,953	0,922	0,0095	0,224	0,388	0,112	0,301
0,800	0,076	0,924	0,901	0,836	0,951	0,918	0,0107	0,231	0,400	0,115	0,308
0,850	0,095	0,905	0,891	0,818	0,945	0,909	0,0132	0,245	0,425	0,123	0,321
0,900	0,116	0,884	0,881	0,801	0,940	0,901	0,0160	0,260	0,450	0,130	0,333
0,950	0,140	0,860	0,871	0,785	0,935	0,892	0,0191	0,274	0,475	0,137	0,345
1,000	0,167	0,833	0,861	0,769	0,931	0,884	0,0224	0,289	0,500	0,144	0,356
1,050	0,196	0,804	0,852	0,754	0,926	0,877	0,0260	0,303	0,525	0,152	0,366
1,100	0,226	0,774	0,844	0,740	0,922	0,870	0,0299	0,318	0,550	0,159	0,375
1,150	0,259	0,741	0,837	0,728	0,918	0,864	0,0339	0,332	0,575	0,166	0,384
1,200	0,293	0,707	0,830	0,718	0,915	0,859	0,0380	0,346	0,600	0,173	0,392
1,250	0,328	0,672	0,825	0,709	0,913	0,854	0,0423	0,361	0,625	0,180	0,399
1,300	0,364	0,636	0,821	0,702	0,910	0,851	0,0466	0,375	0,650	0,188	0,406
1,350	0,399	0,601	0,817	0,696	0,909	0,848	0,0510	0,390	0,675	0,195	0,412
1,400	0,434	0,566	0,815	0,692	0,908	0,846	0,0553	0,404	0,700	0,202	0,417
1,450	0,469	0,531	0,814	0,690	0,907	0,845	0,0597	0,419	0,725	0,209	0,422
1,500	0,503	0,497	0,814	0,690	0,907	0,845	0,0640	0,433	0,750	0,217	0,425
1,550	0,536	0,464	0,814	0,691	0,907	0,845	0,0682	0,447	0,775	0,224	0,428
1,600	0,567	0,433	0,815	0,693	0,908	0,846	0,0723	0,462	0,800	0,231	0,430
1,650	0,597	0,403	0,817	0,696	0,909	0,848	0,0763	0,476	0,825	0,238	0,432
1,700	0,626	0,374	0,820	0,700	0,910	0,850	0,0801	0,491	0,850	0,245	0,433
1,750	0,652	0,348	0,823	0,704	0,911	0,852	0,0838	0,500	0,866	0,253	0,433
1,800	0,677	0,323	0,826	0,710	0,913	0,855	0,0874	0,500	0,866	0,259	0,433
1,850	0,701	0,299	0,829	0,716	0,915	0,858	0,0908	0,500	0,866	0,266	0,433
1,900	0,723	0,277	0,833	0,722	0,917	0,861	0,0941	0,500	0,866	0,272	0,433
1,950	0,743	0,257	0,837	0,729	0,919	0,864	0,0972	0,500	0,866	0,278	0,433
2,000	0,762	0,238	0,841	0,736	0,921	0,868	0,1002	0,500	0,866	0,283	0,433

Example 1: l_x=4.0 m, l_y=5.0 m, p=11.44 kN/m², h=170 mm, C30/37 (E=32.80 GPa) → ε=5.00/4.00=1.25 → k_x=0.328, k_y=0.672, v_x=0.825, v_y=0.709, a_m=0.0423, ρ_xr=0.361, ρ_yerm =0.625, υ_xr=0.180, υ _yerm=0.399 → f_m=0.0423· 11.44· 10³N/m²· 4.0⁴m⁴/(32.80· 10⁹N/m² · 1.0m· 0.17³m³)=769· 10^-6m=0.769 mm, p_x=0.328· 11.44=3.75 kN/m, p_y=0.672· 11.44=7.69 kN/m, M_x=0.825· 3.75· 4.0²/8=6.19 kNm/m, M_y=0.709· 7.69· 5.0²/24=5.68 kNm/m, M_yerm=-7.69· 5.0²/12=-16.02 kNm/m, V_xr=0.361· 11.44· 4.0=16.52 kN_,V_yerm= 0.625· 11.44· 4.0=28.60 kN_,p_xr=0.180· 11.44· 4.0=8.24 kN/m _,p_yerm= 0.399· 11.44· 4.0=18.26 kN/m.

Example 2: l_x=5.0 m, l_y=4.0 m, p=11.44 kN/m², h=170 mm, C30/37 (E=32.80 GPa) → ε=4.00/5.00=0.80 → k_x=0.076, k_y=0924, v_x=0.901, v_y=0.836, a_m=0.0107, ρ_xr=0.231, ρ_yerm =0.400, υ_xr=0.115, υ _yerm=0.308 → f_m=0.0107· 11.44· 10³N/m²· 5.0⁴m⁴/(31.90· 10⁹N/m²· 1.0m· 0.17³m³)=475· 10^-6m=0.475 mm, p_x=0.076· 11.44=0.87 kN/m, p_y=0.924· 11.44=10.57 kN/m, M _x=0.901· 0.87· 5.0²/8=2.45 kNm/m, M_y=0.836· 10.57· 4.0²/24=5.89 kNm/m, M_yerm=-10.57· 4.0² /12=-14.09 kNm/m, V_xr=0.231· 11.44· 5.0=13.21 kN_,V_yerm= 0.400· 11.44· 5.0=22.88 kN_,p_xr =0.115· 11.44· 5.0=6.58 kN/m_,p_yerm= 0.308· 11.44· 5.0=17.62 kN/m.

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