1 # 1 Beam B1
2
3 ```inputs
4 L = 6 m min=2 max=12 step=0.5 "Span"
5 w = 10 kN/m min=0 max=40 "Load"
6 h = 450 mm min=300 max=900 step=50 "Depth"h = 600 mm min=300 max=900 step=50 "Depth"
7 ```
8
9 ## 1.1 Bending
10
11 ```calc
12 M_Ed = w*L^2/8
13 d = h - 50 mm
14 A_s = M_Ed/(0.87*500 MPa*0.9*d) to mm^2
15 A_prov = 2*113 mm^2
16 A_s <= A_prov
17 ```
18
19 ## 1.2 Analysis
20
21 ```fem
22 plane
23 node A 0,0
24 node B L,0
25 material C30 E=33e6 nu=0.2
26 section R300x600 A=0.18 Iy=0.00135 Iz=0.0054 J=0.0037
27 member B1 A B
28 support A pinned
29 support B DZ
30 load B1 wZ=-w
31 show Mz
32 M_max = B1 Mz max
33 ```
35 ## 1.3 Model
36
37 ```bim
38 level L0 0
39 level L1 3.2
40 grid A 0,0 0,6
41 grid B L,0 L,6
42 grid 1 -1,0 7,0
43 grid 2 -1,6 7,6
44 material C30 concrete rho=25
45 section C400 rect 0.4 0.4
46 section B300 rect 0.3 h
47 column C1 A/1 L0 L1 C400
48 column C2 B/1 L0 L1 C400
49 column C3 A/2 L0 L1 C400
50 column C4 B/2 L0 L1 C400
51 beam B1 A/2 B/2 L1 B300
52 beam B2 B/1 B/2 L1 B300
53 slab S1 A/1 B/1 B/2 A/2 L1 t=0.2
54 V = C30 volume
55 ```
56
57 ## 1.4 Section
58
59 ```cad
60 units mm
61 layer CONCRETE
62 rect 0,0 300 h hatch=concrete scale=50
63 text 150,700 "B1 300 × 600" 25 align=MiddleCenter
64 layer BARS color=red
65 circle 50,50 6
66 circle 250,50 6
67 layer DIMS
68 dim 0,0 300,0 -100
69 dim 300,0 300,h -100
70 ```
71
72 ## 1.5 Moment along the beam
73
74 ```plot
75 x 0,6 m "x"
76 y 0,60 kN*m "M"
77 curve M w*x*(L-x)/2 "Bending moment"
78 mark 3,45 "M_Ed"
79 x_m = M xmax
80 ```