The beam with cross-section shown in Figure 1 is subjected to a uniformly distributed load and a moment. The centroidal axis of the section is c= 74.44 mm from the bottom. I. -2.18x10 mm. E -2.1×10 MPa. a) At a cross-section 2 m to the right of support A; i) ii) iii) Calculate the Shear Force, V, and the Bending Moment, M. Determine the maximum bending stress. Sketch the bending stress distribution across the section, include critical tension & compression stress values. Determine shear stress developed at the flange-web interface and also the shear stress at the neutral axis of the cross-section. Sketch the shear stress distribution across the section, include the critical values. b) Using the double integration method, find the deflection curve for 0≤x≤5 m. 3 kN/m 5 m -3m- Figure 1 15 kN-m All dimensions are in mm.
The beam with cross-section shown in Figure 1 is subjected to a uniformly distributed load and a moment. The centroidal axis of the section is c= 74.44 mm from the bottom. I. -2.18x10 mm. E -2.1×10 MPa. a) At a cross-section 2 m to the right of support A; i) ii) iii) Calculate the Shear Force, V, and the Bending Moment, M. Determine the maximum bending stress. Sketch the bending stress distribution across the section, include critical tension & compression stress values. Determine shear stress developed at the flange-web interface and also the shear stress at the neutral axis of the cross-section. Sketch the shear stress distribution across the section, include the critical values. b) Using the double integration method, find the deflection curve for 0≤x≤5 m. 3 kN/m 5 m -3m- Figure 1 15 kN-m All dimensions are in mm.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The beam with cross-section shown in Figure 1 is subjected to a uniformly distributed load and a
moment. The centroidal axis of the section is c= 74.44 mm from the bottom. I. -2.18x10 mm. E
= 2.1×10 MPa.
a) At a cross-section 2 m to the right of support A;
i)
ii)
iii)
Calculate the Shear Force, V, and the Bending Moment, M.
Determine the maximum bending stress. Sketch the bending stress distribution
across the section, include critical tension & compression stress values.
Determine shear stress developed at the flange-web interface and also the shear
stress at the neutral axis of the cross-section. Sketch the shear stress distribution
across the section, include the critical values.
b) Using the double integration method, find the deflection curve for 0≤x≤5 m.
3 kN/m
5m
3 m-
Figure 1
15 kN-m
100
All dimensions are in mm.
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