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225 P- 8 P;= 10 9;- 18 2 (m) 1 (m) 4.50 (m) 1.50 (m)

225 P- 8 P;= 10 9;- 18 2 (m) 1 (m) 4.50 (m) 1.50 (m)

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter7: Length And Length-related Variables In Engineering
Section: Chapter Questions
Problem 42P
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225 P= 8 P= 10 9,- 18 H3 2 (m) 1 (m) . 4.50 (m) 1.50 (m)
Transcribed Image Text:225 P= 8 P= 10 9,- 18 H3 2 (m) 1 (m) . 4.50 (m) 1.50 (m)
Situation 1 | An overhang beam is loaded as shown below. The beam cross-section was built 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, o, =260MPA on double shear. 1. Determine the location of centroid, y, from top of the beam in mm. 2. Determine the moment of inertia, I, of the section in mm*. 3. Determine the maximum allowable moment, Mali, in kn-m, base on the beam's cross-section. 4. Determine the location of the maximum moment on the beam in meters. 5. Determine the maximum moment, in kN-m, on the beam. 6. Determine the maximum flexural stress on the beam in MPa. 7. Determine the maximum shearing stress on the beam in MPa. 8. Determine the flexural stress, in MPa, on the fiber 30mm above N.A at distance 1m from A. 9. Determine the shearing stress, in MPa, on the fiber 30mm above N.A at distance Im from A. 10. Determine the spacing, in mm, of rivets on the steel plate.
Transcribed Image Text:Situation 1 | An overhang beam is loaded as shown below. The beam cross-section was built 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, o, =260MPA on double shear. 1. Determine the location of centroid, y, from top of the beam in mm. 2. Determine the moment of inertia, I, of the section in mm*. 3. Determine the maximum allowable moment, Mali, in kn-m, base on the beam's cross-section. 4. Determine the location of the maximum moment on the beam in meters. 5. Determine the maximum moment, in kN-m, on the beam. 6. Determine the maximum flexural stress on the beam in MPa. 7. Determine the maximum shearing stress on the beam in MPa. 8. Determine the flexural stress, in MPa, on the fiber 30mm above N.A at distance 1m from A. 9. Determine the shearing stress, in MPa, on the fiber 30mm above N.A at distance Im from A. 10. Determine the spacing, in mm, of rivets on the steel plate.
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