Podcast
Questions and Answers
What principle was developed by John Bernoulli in 1717?
What principle was developed by John Bernoulli in 1717?
- The principle of equilibrium equations
- The principle of internal loads
- The principle of virtual work (correct)
- The principle of external displacements
Which method is sometimes referred to as the unit-load method?
Which method is sometimes referred to as the unit-load method?
- The principle of virtual work (correct)
- The method of external displacements
- The compatibility of displacements
- The conservation of energy method
What must be known in order to uniquely define the corresponding internal displacements?
What must be known in order to uniquely define the corresponding internal displacements?
- Internal loads
- Elastic displacements
- External displacements (correct)
- Equilibrium equations
Which principle ensures that external and internal displacements are related?
Which principle ensures that external and internal displacements are related?
What type of structure does the principle of virtual work provide a means of obtaining displacements and slopes for?
What type of structure does the principle of virtual work provide a means of obtaining displacements and slopes for?
What is necessary for the external and internal loads in a structure according to the text?
What is necessary for the external and internal loads in a structure according to the text?
What is the principle that can still be applied even if a material is strained beyond its elastic limit?
What is the principle that can still be applied even if a material is strained beyond its elastic limit?
When a material is strained beyond its elastic limit, what kind of analysis must be used?
When a material is strained beyond its elastic limit, what kind of analysis must be used?
What do the definite integrals on the right side represent in the context of beams?
What do the definite integrals on the right side represent in the context of beams?
Why might a single integration not be possible across a beam's entire length?
Why might a single integration not be possible across a beam's entire length?
In the context of determining moments in a beam, why should the same x coordinate be used for both virtual and real moments?
In the context of determining moments in a beam, why should the same x coordinate be used for both virtual and real moments?
How many regions of a beam must be considered to determine displacements in a complex loading scenario?
How many regions of a beam must be considered to determine displacements in a complex loading scenario?
What is the equation of the elastic curve given in the text?
What is the equation of the elastic curve given in the text?
To obtain maximum deflection, where does it occur according to the information provided?
To obtain maximum deflection, where does it occur according to the information provided?
What should be set equal to zero to find the location of maximum deflection?
What should be set equal to zero to find the location of maximum deflection?
What is the value of C1 in the equation EI𝑦 = x3 - (x-1)4 + (x-4)4 + (x-6)3 + C1.x + C2?
What is the value of C1 in the equation EI𝑦 = x3 - (x-1)4 + (x-4)4 + (x-6)3 + C1.x + C2?
What does setting the slope equal to zero help in finding?
What does setting the slope equal to zero help in finding?