Week 1 Challenge
S.No-1
Aim:To find out the most efficient truss which carry Gravity load Out of Pratt Truss and Howe Truss.
Explanation: PRATT TRUSS-It places compression on shorter vertical member and tension on longer diagonal members which is advantageous to steel.It places comparatively larger stress on top and bottom chord members hence larger section member are required for top and bottom.
HOWE TRUSS-It places compression on longer diagonal member and tension on shorter vertical members which is disadvantageous to steel.It places comparatively lesser stress on top and bottom chord members hence those members may be designed with slightly.
Result:Pratt Truss is most efficient Truss.
S.No-2
Aim: To draw Deflected shape and Bending Moment.
Explanation: Photo attached
Result: Hence proved.
S.No-3
Aim:To find MOI,Weight and C/S area for Channel,I-section,ISMB 300 and ISMB 500 with ISMC 300 cap channel.
Explanation:
For channel Area=(10x80)+(180x8)+(8x10)
=3040mm^2
Weight=7850x0.00304
=23.86kg/m.
MOI=2(((80x10^3)/12)+(800x95^2))+(((8x180^3)/12)+(144 x0)
=18342773.33mm^4
For I-Section
Area=(30x300)+(8x1000)+(30x300)
=26000mm^2
Weight=7850x0.026
=204.1kg/m.
MOI=((300x1060^3)/12)-((1000x8^3)/12)
=5.44x10^9mm^4
For ISMB 300
Area=(160x12)+(140x12.4)+(275.12x7.5)+(140x12.4)+(160x12)
=9376mm^2
Weight=7850x0.009376
=73.6kg/m.
MOI=2(((160x12^3)/12)+(1920x156^2))+MOI of ISMB300
=1.92x10^8mm^4
ISMB 500 with ISMC 300 Cap channel
Centroid of built-up section y=((A1y1+A2y2)/(A1+A2))
=325.19mm
MOI=(45200x10^4+(111x10^2x75.19^2))+(313x10^4+(46.3x10^2x180.26^2))
=668.33x10^6mm^4
Area=(111x10^2)+(46.3x10^2)
=15730mm^2
Weight=7850x0.01573
=123.48kg/m
Result:
For Channel Area=3040mm^2
Weight=23.86kg/m
MOI=18.3m^4
For I-section
Area=26000mm^2
Weight=204.1kg/m
MOI=5440m^4
For ISMB 300
Area=9376mm^2
Weight=73.6kg/m
MOI=192m^4
ISMB 500 with ISMC 300 Cap channel
Area=15730mm^2
Weight=123.48kg/m
MOI=668.33m^4
S.No-4
Aim:To find load on Interior Beam,Exterior Beam,Interior Girder and Exterior Girder having a floor load 10kn/m^2
Explanation: Load on Interior Beam=10x2
=20KN/m
Load on Exterior Beam=10x1
=10KN/m
Load on Interior Girder=20x4
=80KN/m
Load on Exterior Girder=10x4
=40KN/m
Result:Load on Interior Beam= 20KN/m
Load on Exterior Beam=10KN/m
Load on Interior Girder=80KN/m
Load on Exterior Girder=40KN/m
S.No:5
Aim: To find length difference and total length
Introduction: Length=2000m,
Coefficient of Thermal expansion of steel = 12x10-6/°C
Temperature=(40-(-20))
=60ºC
Explanation:
Change in Length=2000x60x12x10-6
=1.44m
Total Length= 2000+1.44
=2001.44
Result: Change in length=1.44m
Total length=2001.44m