Practice Governing Equations (1.2) - Timoshenko Beam Theory - Solid Mechanics

Practice: Governing equations

Lesson 1.2Timoshenko Beam Theory

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What are the two independent variables in Timoshenko Beam Theory?
Show hintHide hint
Think about what differentiates Timoshenko from Euler-Bernoulli.
Question 2.
Write down the formula for average shear stress.
Show hintHide hint
It's about force distribution over an area!
3Question 3.
What is the main distinction of Timoshenko Beam Theory from Euler-Bernoulli?
- It ignores shear deformation
- It accounts for shear deformation
- It uses only bending stress
Show hintHide hint
Consider what effects shear has compared to bending.
4Question 4.
True or False: In Timoshenko Beam Theory, deflection and rotation are treated independently.
- True
- False
Show hintHide hint
Think about their relationship in equations.
Question 5.
A cantilever beam with a length of 5m is subjected to a point load of 1000N at its free end. Calculate the shear force and bending moment profile along the beam first using Timoshenko Beam Theory.
Show hintHide hint
Identify shear and bending effects distinctly throughout the beam.
Question 6.
A Timoshenko beam with a rectangular cross-section experiences a shear force of 200 N and has a width of 0.1 m and height of 0.2 m. Calculate the average shear stress and compare it to calculated shear strain using the governing equations.
Show hintHide hint
Remember to apply TBT's unique equations for shear strain!

4 more questions in this section. Enroll free to practise them all.