An overhang beam is loaded as shown below. The beam cross-section was butlt by attaching two (2) channels to a 9mm thick plate using 16mm rivets. The property of the channel is given below: Depth, D = 225 mm Flange Thickness, t= 9mm Flange Width, B, -112.5 mm Web Thickness, t. -9 mm The allowable flexural stress on the beam is 180 MPa. Rivets has a capacity of t= 100 MPa on shear, for bearing, o,-200 MPa on single shear, a, =260MPa on double shear.1. determine the location of centroid, ȳ, from top of the beam in mm2. determine the moment of inertia, I, of the section in mm43. determine the maximum allowable moment, Mall, inkn-m, base on the beam's cross section. Situation 1| An overhang beam is loaded as shown below. The beam cross-sectionwas butlt by attaching two (2) channels to a 9mm thick plate using 16mm rivets.The property of the channel is given below:Depth, D = 225 mmFlange Thickness, t= 9mmFlange Width, B, -112.5 mmWeb Thickness, t. -9 mmThe allowable flexural stress on the beam is 180 MPa. Rivets has a capacity of t=100 MPa on shear, for bearing, o,-200 MPa on single shear, a, =260MPa on doubleshear. 225P,- 8P,- 109- 182 (m)| 1 (m)4.50 (m)1.50 (m)

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Structural Analysis

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Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

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An overhang beam is loaded as shown below. The beam cross-section was butlt by attaching two (2) channels to a 9mm thick plate using 16mm rivets. The property of the channel is given below: Depth, D = 225 mm Flange Thickness, t= 9mm Flange Width, B, -112.5 mm Web Thickness, t. -9 mm The allowable flexural stress on the beam is 180 MPa. Rivets has a capacity of t= 100 MPa on shear, for bearing, o,-200 MPa on single shear, a, =260MPa on double shear.

1. determine the location of centroid, ȳ, from top of the beam in mm

2. determine the moment of inertia, I, of the section in mm⁴

3. determine the maximum allowable moment, M_all, inkn-m, base on the beam's cross section.

Situation 1| An overhang beam is loaded as shown below. The beam cross-section
was butlt by attaching two (2) channels to a 9mm thick plate using 16mm rivets.
The property of the channel is given below:
Depth, D = 225 mm
Flange Thickness, t= 9mm
Flange Width, B, -112.5 mm
Web Thickness, t. -9 mm
The allowable flexural stress on the beam is 180 MPa. Rivets has a capacity of t=
100 MPa on shear, for bearing, o,-200 MPa on single shear, a, =260MPa on double
shear.

225
P,- 8
P,- 10
9- 18
2 (m)
| 1 (m)
4.50 (m)
1.50 (m)

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