Bending Moment Experiment
Bending Moment
EXPERIMENT 2B: SHEAR FORCE AND BENDING MOMENT
1. ABSTRACT
Performance-based design approach, demands a thorough understanding of axial forces.
Bending characterizes the behavior of a slender structural element subjected to an external load applied perpendicularly to a longitudinal axis of the element. By this experiment we can verify the limit load for the beam of rectangular cross-section under pure bending.
Moments at the specific points are calculated by the method of statics or by multiplying the perpendicular force or load and the respective distance of that load from the pivot point.
2. OBJECTIVE
The objective of this experiment is to compare the theoretical internal moment with the measured bending moment for a beam under various loads.
3. KEYWORDS
Bending moment, hogging, sagging, Datum value, under-slung spring, spring balance and
Beam, Neutral axis.
4.
THEORY
Bending Moments:
Bending Moment at AA is defined as the algebraic sum of the moments about the section of all forces acting on either side of the section.
Definition of a Beam:
Members that are slender and support loadings that are applied perpendicular to their
Page 1 of 14
Bending Moment longitudinal axis are called beams. Beams are important structural and mechanical elements in engineering. Beams are in general, long straight bars having a constant cross-sectional area, often classified as to how they are supported. For example, a simply supported beam is pinned at one end and roller-supported at the other etc.
Types of Beams:
1. Cantilever:
A Built-in support is frequently met. The effect is to fix the direction of the beam at the support. In order to do this the support must exert a "fixing" moment M and a reaction R on the beam. A beam which is fixed at one end in this way is called a Cantilever. If both ends are fixed in this way the reactions are not statically determinate.
2. Simply Supported:
A beam that has hinged
EXPERIMENT 2B: SHEAR FORCE AND BENDING MOMENT
1. ABSTRACT
Performance-based design approach, demands a thorough understanding of axial forces.
Bending characterizes the behavior of a slender structural element subjected to an external load applied perpendicularly to a longitudinal axis of the element. By this experiment we can verify the limit load for the beam of rectangular cross-section under pure bending.
Moments at the specific points are calculated by the method of statics or by multiplying the perpendicular force or load and the respective distance of that load from the pivot point.
2. OBJECTIVE
The objective of this experiment is to compare the theoretical internal moment with the measured bending moment for a beam under various loads.
3. KEYWORDS
Bending moment, hogging, sagging, Datum value, under-slung spring, spring balance and
Beam, Neutral axis.
4.
THEORY
Bending Moments:
Bending Moment at AA is defined as the algebraic sum of the moments about the section of all forces acting on either side of the section.
Definition of a Beam:
Members that are slender and support loadings that are applied perpendicular to their
Page 1 of 14
Bending Moment longitudinal axis are called beams. Beams are important structural and mechanical elements in engineering. Beams are in general, long straight bars having a constant cross-sectional area, often classified as to how they are supported. For example, a simply supported beam is pinned at one end and roller-supported at the other etc.
Types of Beams:
1. Cantilever:
A Built-in support is frequently met. The effect is to fix the direction of the beam at the support. In order to do this the support must exert a "fixing" moment M and a reaction R on the beam. A beam which is fixed at one end in this way is called a Cantilever. If both ends are fixed in this way the reactions are not statically determinate.
2. Simply Supported:
A beam that has hinged
References: 1. Beer, Johnston and Dewolf ³Mechanics of Materials´ fourth edition McGraw Hill. 2. http://www.civilcraftstructures.com/civil-subjects/shear-force-and-bending-moment-asstructural-basics 3. http://www.codecogs.com/reference/engineering/materials/shear_force_and_bending_mom 4. http://www.chest of books.com. Page 14 of 14