Which of the following is a correct assumption in the theory of simple bending?
A
The beam is initially curved
B
Material is non-homogeneous
C
Plane sections remain plane after bending
D
Material follows plastic behavior
Analysis & Theory
One of the key assumptions is that plane sections before bending remain plane and perpendicular to the neutral axis after bending.
According to the simple bending theory, how is the material expected to behave?
A
Elastically and linearly
Analysis & Theory
The theory assumes the material is elastic and follows Hooke’s Law (linear stress-strain relationship).
Which assumption justifies that bending stress varies linearly over the cross section?
A
Shear deformation is significant
B
Plane sections remain plane
C
Beam is made of composite materials
D
Cross-section is unsymmetrical
Analysis & Theory
The linear distribution of bending stress is based on the assumption that plane sections remain plane after bending.
What is assumed about the curvature of the beam in the bending theory?
A
Radius of curvature is very small
B
Radius of curvature is large compared to depth
Analysis & Theory
A large radius of curvature allows small-angle approximations and simplifies bending analysis.
What is assumed about the loading in the simple bending theory?
B
Loads are sudden and impact type
C
Loads are gradually applied and static
Analysis & Theory
The theory assumes loading is static and applied gradually to avoid dynamic effects.
What is assumed about shear force and shear deformation in the simple bending theory?
B
Shear force is considered, deformation is ignored
C
Shear deformation is neglected
D
Shear stress is maximum
Analysis & Theory
Shear deformation is neglected in the theory of pure bending.
Which of these assumptions ensures uniform bending across the length of the beam?
A
Beam is supported at random points
B
The beam is made of multiple materials
C
The cross-section is constant along the beam
D
Dynamic loading is applied
Analysis & Theory
A uniform cross-section ensures consistent bending behavior along the length.
What is the assumption regarding isotropy in the bending theory?
A
Material properties vary in all directions
B
Material is anisotropic
C
Material is isotropic (same properties in all directions)
Analysis & Theory
The theory assumes the material is isotropic and behaves the same in all directions.
Why is the assumption of small deformations important in bending theory?
A
It allows neglecting inertia forces
B
It simplifies analysis and linearizes curvature
C
It increases shear strength
D
It allows use of plastic theory
Analysis & Theory
Small deformations allow using simple linear geometric relations and curvature approximations.
Which of the following is NOT a valid assumption of simple bending theory?
A
Plane sections remain plane
B
Material is homogeneous and isotropic
C
Beam experiences significant torsion
D
The beam is initially straight
Analysis & Theory
The simple bending theory does not account for torsional effects.