Challenge

Week 6 Challenge

1.Chequered Plate design.

Given: Factored live load of 15 kN/m2, the plate is spanned with dimension of 1200 mm x 5000 mm, density of steel=78.5 KN/m^3, All edges fixed.

Solution:

Assuming thickness of plate is 1mm,

E=2x10^5 mm^2

Self weight of plate=0.001x78.5 = 0.0785KN/m^2

Total load=15+0.0785= 1.5785 KN/m^2

At the center,

σ=B2xqxb^2/t^2 + 5425.2 N/mm^2

At the center long edge,

σmax = 0.5x15,0785x10^3x1,2^2/0.001^2 = 10850.4 N/mm^2

ymax = αxqxb^2/Ext^3 = 3080mm

Hence ok

Result : The size of plate dimension = 1200 mm x 5000 mm x 1mm

2. Design of Decking slab.

Aim: To design depth of slab, 

Given: Dead load = 5 kN/m2, Live Load = 8 kN/m2  

Solution,

pt=0.4%, fs=240 n/mm^2

there fore, mf=1.3

i/d=20mf  

d=310mm 

D=310+20+ (10/2)=335 mm

Effective span + Clear span = 310 + 8000 =8310 mm 
 
lx=8310mm, ly=10310mm
 
Load calculation,
 
Total load = 5+8 = 13KN/m
 
Factored load = 1.5x13=19.5KN/m
 
Bending Moment,
 
Case 9: four edge distance
 
ly/lx=1.25
 
lx=0.075
 
Mwx= αx Wu lx^2 = 100.9
 
Mwy= αy Wu lx^2 = 75.4
 
Mu lim=0.138 fckbd^2
 
100.9x10^6=0.138x25x1000xd^2
d(req)=171 mm
 
Reinforcement,
 
Along shorter span, pt=0.2%
 
Ast=(0.2/100)x1000x310 = 620mm^2
 
Consider 10mm dia bars Spacing=(78.3/620)x1000 = 120 mm 
 
Ast(p) = 654.41 mm^2 
 
Ast (min) = (0.12/100)x1000x33.5 = 402 mm^2 <=Ast (p) Pt =0.152% Ast =(0.152/100)x1000x310 =471.2 mm^2
Considering 8 mm dia bar, 
 
Spacing=(50.26/471.2)x1000=100 mm   Ast (p) = 502.6 mm^2 Ast min) = 500 mm^2

3. Lateral Load resisting system & Gravity Load resisting system

Draw the load path and identify the Axial force type in different type of bracing system below to resist horizontal shear & gravity load. Also state the type of bracing system

 Axial Force Type- Lateral force or horizontal force with pinned support.

Bracing Type- Diagonal Bracing in that diagonal brace back.

 Axial Force Type- Lateral force or horizontal force with pinned support.

Bracing Type-K type Bracing

 Axial Force Type- Lateral force or horizontal force with pinned support.

 Bracing Type- X type Bracing

 Axial Force Type- Gravity force or vertical force with pinned support.

 Bracing Type-K type Bracing

 Axial Force Type- Lateral force or Horizontal force with pinned support.

 Bracing Type-Eccentric type Bracing

 Axial Force Type- Gravity force or vertical force with pinned support.

 Bracing Type-Diagonal bracing in that diagonal brace back

 Axial Force Type- Gravity force or vertical force with pinned support.

Bracing Type- X type bracing

Axial Force Type- Gravity force or vetical force with pinned support

Bracing Type- Eccentric type bracing

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