Determine the centroid of the composite body shown in Figure Q4b. Dimension in mm.yFRONT VIEWPLAN VIEWR 3016030601008050Figure Q4bRajah S4b- 5050R 50

Data Given: Asked: Determine the centroid of the composite body

Answered: (b) Determine the centroid of the…

(b) Determine the centroid of the composite body shown in Figure Q4b. Dimension in mm. FRONT VIEW PLAN VIEW R 30 160 30 60 100 80 50 - 50 - - 50 - Figure Q4b Rajah S4b R 50

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

Determine the centroid of the composite body shown in Figure Q4b. Dimension in mm.
y
FRONT VIEW
PLAN VIEW
R 30
160
30
60
100
80
50
Figure Q4b
Rajah S4b
- 50
50
R 50

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Step 1 Interpretation of data

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Step 2 Centroid in Z axis

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Step 3 Centroid in Y axis

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Step 4 Centroid in X axis

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Designation Serial size 457x191 ■ Calculate the design tension resistance of the 457 × 191 × 67 UB. Given information from steel section table (assuming S275): Axis y-y cm³ 1296 67 Elastic modulus Wel Axis Z-Z cm³ 153 Mass per metre kg/m 67.1 Depth of section h mm 453.4 Width of section b mm 189.9 Plastic modulus Wpl Axis y-y cm³ 1471 Axis Z-Z cm³ 237 Thickness Thickness Root of web of flange radius tw tf mm r mm mm 8.5 12.7 Buckling parameter U 0.872 Torsional index X 37.9 10.2 Depth between fillets d mm 407.6 Ratios for local buckling Flange Web Cf/tf Cw/tw dm6 0.705 6.34 Warping Torsional constant lw constant IT cm4 37.1 48.0 Area of section cm² 85.5 Second moment of area Axis y-y cm4 29380 Axis Z-Z cm4 kNm 522 1452 Indicative values for S355 steel Mc.y.Rd Nb.z.Rd* for Lcr=3.5m kN 1600 Radius of gyration i Axis y-y cm 18.5 Axis Z-Z cm 4.12; Designation Serial size 67 457x191