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 ```
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 profile R400 rect 0.4 0.4
46 profile R300xh rect 0.3 h
47 profile S6 rect L 6
48 type C400 column
49 type B300 beam
50 type S200 slab
51 extrude C1 R400 A/1,L0 A/1,L1 C400
52 extrude C2 R400 B/1,L0 B/1,L1 C400
53 extrude C3 R400 A/2,L0 A/2,L1 C400
54 extrude C4 R400 B/2,L0 B/2,L1 C400
55 extrude B1 R300xh A/2,L1-h/2 B/2,L1-h/2 B300
56 extrude B2 R300xh B/1,L1-h/2 B/2,L1-h/2 B300
57 extrude S1 S6 L/2,3,L1-0.2m L/2,3,L1 S200
58 V = C30 volume
60
61 ## 1.4 Section
62
63 ```cad
64 units mm
65 layer CONCRETE
66 rect 0,0 300 h hatch=concrete scale=50
67 text 150,700 "B1 300 × 600" 25 align=MiddleCenter
68 layer BARS color=red
69 circle 50,50 6
70 circle 250,50 6
71 layer DIMS
72 dim 0,0 300,0 -100
73 dim 300,0 300,h -100
74 ```
75
76 ## 1.5 Moment along the beam
77
78 ```plot
79 x 0,6 m "x"
80 y 0,60 kN*m "M"
81 curve M w*x*(L-x)/2 "Bending moment"
82 mark 3,45 "M_Ed"
83 x_m = M xmax
84 ```