Lesson Friday September 12th

Lesson Friday September 12th#

During today’s lesson you’ll work on a complex exercise on the topic of Mechanisms and Virtual work. Please ask your questions regarding the homework as well!

Exercise Mechanisms and virtual work#

Given the following structure.

../../_images/struc1.svg

  1. Find the vertical support reaction in \(\rm{C}\)

  2. Find the bending moment in \(\rm{E}\)

  3. Find the shear force just right of \(\rm{B}\)

../../_images/struc2.svg

  1. Find the vertical support reaction in \(\rm{B}\)

  2. Find the bending moment in \(\rm{D}\)

  3. Find the shear force just right of \(\rm{S}_1\)

../../_images/struc3.svg

  1. Find the bending moment just above \(\rm{C}\)

  2. Find the bending moment just below \(\rm{C}\)

Solution assignment 1

\(C_\rm{v} = 23.75 \ \rm{ kN} \) (↑)

Solution assignment 2

\(M_\rm{E} = 22.5 \ \rm{ kNm} \) (◡)

Solution assignment 3

\(V_\rm{B}^\rm{BC} = 11.25 \ \rm{ kN} \) (⎽|⎺)

Solution assignment 4

\(B_\rm{v} = 72 \ \rm{ kN} \) (↑)

Solution assignment 5

\(M_\rm{D} = 144 \ \rm{ kNm} \) (◠)

Solution assignment 6

\(V_{\rm{S}_1} = 72 \ \rm{ kN} \) (⎺|⎽)

Solution assignment 7

\(M_\rm{C}^\rm{CE} = 120 \ \rm{ kNm} \) (ᑐ)

Solution assignment 8

\(M_\rm{C}^\rm{BC} = 240 \ \rm{ kNm} \) (ᑕ)

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