Which of the following expressions must be added to the element stiffness matrix for beams supported on elastic supports, where l is length of beam element, and s is the stiffness per unit length of element?

\(\frac{EI}{l^2}\begin{bmatrix}12&-6l&-12&6l\\-6l&4l^2&6l&2l^2\\-12&6l&12&6l\\6l&2l^2&6l&4l^2\end{bmatrix}\)

\(\frac{sl}{420}\begin{bmatrix}156&22l&54&-13l\\22l&4l^2&13l&-3l^2\\54&13l&156&-22l\\-13l&-3l^2&-22l&4l^2\end{bmatrix}\)

\(\frac{EI}{l^2}\begin{bmatrix}12&-6l&-12&6l\\-6l&4l^2&6l&2l^2\\-12&6l&12&6l\\6l&2l^2&6l&4l^2\end{bmatrix}\)

\(\frac{EI}{l^3}\begin{bmatrix}12&-6l&-12&6l\\-6l&4l^2&6l&2l^2\\-12&6l&12&6l\\6l&2l^2&6l&4l^2\end{bmatrix}\)

\(\frac{EI}{420}\begin{bmatrix}156&22l&54&-13l\\22l&4l^2&13l&-3l^2\\54&13l&156&-22l\\-13l&-3l^2&-22l&4l^2\end{bmatrix}\)

Which of the following statements are correct regarding beam elements?

Beam elements can resist force and moment about x and y axis

Beam elements can resist only force about x and y axis

Beam elements can resist only force about x, y, and z axis

Beam elements can resist force and moment about x, y, and z axis

Which of the following statements is not correct about beams on elastic supports?

Rotational stiffness has to be considered for journal bearings

Single row bearings can be considered by a node at each bearing location

In wide journal bearing stiffness per unit length has to be considered

Rotational stiffness need not be considered for roller bearings

Explore topic-wise MCQs in Finite Element Method.

This section includes 6 Mcqs, each offering curated multiple-choice questions to sharpen your Finite Element Method knowledge and support exam preparation. Choose a topic below to get started.

1.	Which of the following expressions must be added to the element stiffness matrix for beams supported on elastic supports, where l is length of beam element, and s is the stiffness per unit length of element?
A.	\(\frac{sl}{420}\begin{bmatrix}156&22l&54&-13l\\22l&4l^2&13l&-3l^2\\54&13l&156&-22l\\-13l&-3l^2&-22l&4l^2\end{bmatrix}\)
B.	\(\frac{EI}{l^2}\begin{bmatrix}12&-6l&-12&6l\\-6l&4l^2&6l&2l^2\\-12&6l&12&6l\\6l&2l^2&6l&4l^2\end{bmatrix}\)
C.	\(\frac{EI}{l^3}\begin{bmatrix}12&-6l&-12&6l\\-6l&4l^2&6l&2l^2\\-12&6l&12&6l\\6l&2l^2&6l&4l^2\end{bmatrix}\)
D.	\(\frac{EI}{420}\begin{bmatrix}156&22l&54&-13l\\22l&4l^2&13l&-3l^2\\54&13l&156&-22l\\-13l&-3l^2&-22l&4l^2\end{bmatrix}\)
Answer» B. \(\frac{EI}{l^2}\begin{bmatrix}12&-6l&-12&6l\\-6l&4l^2&6l&2l^2\\-12&6l&12&6l\\6l&2l^2&6l&4l^2\end{bmatrix}\)

Discussion

2.	Rod elements cannot resist shear force applied on the element.
A.	True
B.	False
Answer» B. False

Discussion

3.	Which of the following statements are correct regarding beam elements?
A.	Beam elements can resist force and moment about x and y axis
B.	Beam elements can resist only force about x and y axis
C.	Beam elements can resist only force about x, y, and z axis
D.	Beam elements can resist force and moment about x, y, and z axis
Answer» E.

Discussion

4.	Which of the following statements is not correct about beams on elastic supports?
A.	Rotational stiffness has to be considered for journal bearings
B.	Single row bearings can be considered by a node at each bearing location
C.	In wide journal bearing stiffness per unit length has to be considered
D.	Rotational stiffness need not be considered for roller bearings
Answer» E.

Discussion

5.	Single row bearings can be considered by a node at each bearing location.
A.	True
B.	False
Answer» B. False

Discussion

6.	Which of the following is a class of applications formed by beams supported on soil?
A.	Soil foundation
B.	Winkler foundation
C.	Elastic Beam foundation
D.	Reinforced foundation
Answer» C. Elastic Beam foundation

Discussion

Explore topic-wise MCQs in Finite Element Method.

Which of the following expressions must be added to the element stiffness matrix for beams supported on elastic supports, where l is length of beam element, and s is the stiffness per unit length of element?

Rod elements cannot resist shear force applied on the element.

Which of the following statements are correct regarding beam elements?

Which of the following statements is not correct about beams on elastic supports?

Single row bearings can be considered by a node at each bearing location.

Which of the following is a class of applications formed by beams supported on soil?