1. Below on the left you can see a cantilever beam (of structural steel, E = 210 GPa), which is fixed to a wall at C and loaded by a force F=6KN at an angle a=45. The magnitude and angle of the force as well as dimensions a=2.5m and d =4m. On the right side of the beam picture you can see its cross-section, which has been parametrized by height h=135mm, width b=160mm and thicknesses t₁ =9mm and tw=5mm(flange and web, respectively). These paramet. Six points E, F, G, H, I and K have also been marked in the cross-section - starting alphabetically from the top. a) Calculate the support reactions at C and draw normal force-, shear- and moment diagrams. b) Calculate the displacement of D in horizontal direction. In the following sections, feel free to take advantage of symmetry as much as you can! c) Calculate axial stresses for all points E...K in the cross-section at C. d) Calculate bending stresses for all points E...K in the cross-section at C. e) Calculate shear stresses for all points E...K in the cross-section at C. In the following sections, use the information calculated in previous sections:

1. Below on the left you can see a cantilever beam (of structural steel, E = 210 GPa), which is fixed to a wall at C and loaded by a force F=6KN at an angle a=45. The magnitude and angle of the force as well as dimensions a=2.5m and d =4m. On the right side of the beam picture you can see its cross-section, which has been parametrized by height h=135mm, width b=160mm and thicknesses t₁ =9mm and tw=5mm(flange and web, respectively). These paramet. Six points E, F, G, H, I and K have also been marked in the cross-section - starting alphabetically from the top. a) Calculate the support reactions at C and draw normal force-, shear- and moment diagrams. b) Calculate the displacement of D in horizontal direction. In the following sections, feel free to take advantage of symmetry as much as you can! c) Calculate axial stresses for all points E...K in the cross-section at C. d) Calculate bending stresses for all points E...K in the cross-section at C. e) Calculate shear stresses for all points E...K in the cross-section at C. In the following sections, use the information calculated in previous sections:

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

1. Below on the left you can see a cantilever beam (of structural steel, E = 210 GPa), which is fixed to a wall at C and
loaded by a force F=6KN at an angle a=45. The magnitude and angle of the force as well as dimensions a=2.5m and d
=4m. On the right side of the beam picture you can see its cross-section, which has been parametrized by height
h=135mm, width b=160mm and thicknesses tf = 9mm and tw=5mm(flange and web, respectively). These paramet. Six
points E, F, G, H, I and K have also been marked in the cross-section - starting alphabetically from the top.
a) Calculate the support reactions at C and draw normal force-, shear- and moment diagrams.
b) Calculate the displacement of D in horizontal direction.
In the following sections, feel free to take advantage of symmetry as much as you can!
c) Calculate axial stresses for all points E...K in the cross-section at C.
d) Calculate bending stresses for all points E...K in the cross-section at C.
e) Calculate shear stresses for all points E...K in the cross-section at C.
In the following sections, use the information calculated in previous sections:
f) Calculate principal stresses for all points E...K in the cross-section at C.
g) Calculate Von Mises stresses for all points E...K in the cross-section at C.

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