The section shown in Figure Q3 is formed from a 203x203 UKC86 section welded to a 35 mm x 15mm steel plate. The section is to be used as a simply supported beam,7.5 m long and carrying a uniformly distributed load of 28kN/m.The UKC sections has a second moment of area about its primary (horizontal) axis of 9540cm. 3. (The UKC section properties are: width (b)= 209.1mm, depth (h) = 222.2mm, Area = 110cm? , thickness of web tw 12.7mm and the thickness of flange tr 20.5mm) (a) Locate the centroid of the section. (b) Calculate the second moment of area about the centroidal horizontal Axis (c) Calculate the maximum tensile and compressive stress due to the applied bending moment.

Structural Analysis
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Chapter2: Loads On Structures
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3.
The section shown in Figure Q3 is formed from a 203x203 UKC86 section welded to a
35 mm x 15mm steel plate. The section is to be used as a simply supported beam,7.5
m long and carrying a uniformly distributed load of 28KN/m .The UKC sections has a
second moment of area about its primary (horizontal) axis of 9540cm*.
(The UKC section properties are: width (b)= 209.1mm, depth (h) = 222.2mm, Area =
110cm? , thickness of web tw =12.7mm and the thickness of flange tr = 20.5mm)
(a) Locate the centroid of the section.
(b) Calculate the second moment of area about the centroidal horizontal Axis
(c) Calculate the maximum tensile and compressive stress due to the applied
bending moment.
(d) Calculate the maximum shear stress and sketch the shear stress distribution
(no calculation required for the shear distribution sketch).
203 х203 UKC 86
350 x 15 Steel plate
175
175
Figure Q3
(All dimensions in mm)
Transcribed Image Text:3. The section shown in Figure Q3 is formed from a 203x203 UKC86 section welded to a 35 mm x 15mm steel plate. The section is to be used as a simply supported beam,7.5 m long and carrying a uniformly distributed load of 28KN/m .The UKC sections has a second moment of area about its primary (horizontal) axis of 9540cm*. (The UKC section properties are: width (b)= 209.1mm, depth (h) = 222.2mm, Area = 110cm? , thickness of web tw =12.7mm and the thickness of flange tr = 20.5mm) (a) Locate the centroid of the section. (b) Calculate the second moment of area about the centroidal horizontal Axis (c) Calculate the maximum tensile and compressive stress due to the applied bending moment. (d) Calculate the maximum shear stress and sketch the shear stress distribution (no calculation required for the shear distribution sketch). 203 х203 UKC 86 350 x 15 Steel plate 175 175 Figure Q3 (All dimensions in mm)
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