Problem 3 Draw (a) the shear and bending-moment diagrams for the beam and loading shown, (b) determine the maximum normal stress due to bending, and (c) sketch the normal stress distribution on the section. Sectional Area Ix ly Sx Sy (cm) (cm) (cm³) (cm³) 80 kN/m Hinge 160 kN D (cm²) E H 76.1 12860 1829 849 180.8 W310 x 60 -2.4 m 0.6 m 1.5 m 1.5 m Recall that if you have a hinge in the beam, you have to break the beam at the hinge and draw the FBDs for all the parts (see the example I solved in class). Ay This will allow you to find external Ex Bx' Bx' Bx" Bx" By' By' By" By" Cy Ey reaction forces at the supports and internal reaction forces at the hinge. Mmax = 84 kNm, σmax = 98.9 MPa
Problem 3 Draw (a) the shear and bending-moment diagrams for the beam and loading shown, (b) determine the maximum normal stress due to bending, and (c) sketch the normal stress distribution on the section. Sectional Area Ix ly Sx Sy (cm) (cm) (cm³) (cm³) 80 kN/m Hinge 160 kN D (cm²) E H 76.1 12860 1829 849 180.8 W310 x 60 -2.4 m 0.6 m 1.5 m 1.5 m Recall that if you have a hinge in the beam, you have to break the beam at the hinge and draw the FBDs for all the parts (see the example I solved in class). Ay This will allow you to find external Ex Bx' Bx' Bx" Bx" By' By' By" By" Cy Ey reaction forces at the supports and internal reaction forces at the hinge. Mmax = 84 kNm, σmax = 98.9 MPa
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please solve the problem in the picture
Transcribed Image Text:Problem 3
Draw (a) the shear and bending-moment diagrams for the beam and loading shown, (b) determine the
maximum normal stress due to bending, and (c) sketch the normal stress distribution on the section.
Sectional Area Ix ly Sx Sy
(cm) (cm) (cm³) (cm³)
80 kN/m
Hinge
160 kN
D
(cm²)
E
H
76.1
12860 1829 849 180.8
W310 x 60
-2.4 m
0.6 m
1.5 m
1.5 m
Recall that if you have a hinge in the
beam, you have to break the beam at
the hinge and draw the FBDs for all the
parts (see the example I solved in class).
Ay
This will allow you to find external
Ex
Bx' Bx'
Bx" Bx"
By'
By' By"
By"
Cy
Ey
reaction forces at the supports and internal reaction forces at the hinge.
Mmax = 84 kNm, σmax = 98.9 MPa
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