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Why is the maximum bending moment of a structural member as the point of zero shear?
Wiki User
∙ 14y ago
Shear is the rate at which bending moment changes or shear is its derivative with respect to span. The integral, bending moment, goes through a maximum when shear goes from positive to negative or vice-versa.
Wiki User
∙ 14y ago
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Why you study about shear force and bending moment?
The importance of shear force and bending moment diagram in mechanics lies in structural design and in deflection of beams.
What do you mean bu equivalent shear force and equivalent bending moment?
MAXIMUM SHEAR force bending moment is zero shear force change inside is called bending moment
Shear force bending moment diagram?
a simple definition " IT'S A COUPLE OF FORCE HAVING EQUAL MAGNITUDE BUT OPPOSITE IN DIRECTION & HAVING VERY LESS DISTANCE BETWEEN THEM"
How do you find ultimate bending moment of steel beams?
Assuming linear elastic bending with small deformations and planes perpendicular to the neutral axis remain plane after bending, then for a rectangular beam: Moment = (Yield Stress)*(Second Moment of Area)/(Distance of surface to Neutral Axis) For Ultimate Bending Moment, assume stress is uniform throughout the beam, and acting through half the distance from surface to neutral axis, then: Moment = Stress * (Area/2)*(h/4 + h/4) For a better visualization check out Popov's textbook, Engineering Mechanics of Solids, Chapter 6, Section 6.10
How do engineers apply physics in constructing bridges and buildings?
Physics is an integral part of structural engineering. Using the concept of moment and force balance, bending moment and shear stress is determined for every structural member. According to value of bending moment and shear stress further designing of member is done like how much cross section, steel, clear cover etc is required. So basically the force/moment balance is the basic physics that civil engineering apply for determining the stresses/moment at each member.
What is external bending moment?
External bending moment is a force applied to a structural member that causes it to bend. It results in a combination of tensile and compressive stresses on the material of the member. External bending moments are important considerations in the design of beams and other structural elements to ensure their ability to resist bending and carry loads.
If the maximum bending is maximumat a point what about the deflection?
If the maximum bending moment occurs at a point, then the corresponding deflection will also be maximum at that point. This is because the deflection of a beam is directly influenced by the bending moment acting on it. So, wherever the bending moment is greatest, the deflection will also be greatest.
Why you study about shear force and bending moment?
The importance of shear force and bending moment diagram in mechanics lies in structural design and in deflection of beams.
When a cantilever is loaded with udl the maximum bending moment occurs at?
When a cantilever beam is loaded with a Uniformly Distributed Load (UDL), the maximum bending moment occurs at the fixed support or the point of fixation. In other words, the point where the cantilever is attached to the wall or the ground experiences the highest bending moment. A cantilever beam is a structural element that is fixed at one end and free at the other end. When a UDL is applied to the free end of the cantilever, the load is distributed uniformly along the length of the beam. As a result, the bending moment gradually increases from zero at the free end to its maximum value at the fixed support. The bending moment at any section along the cantilever can be calculated using the following formula for a UDL: Bending Moment (M) = (UDL × distance from support) × (length of the cantilever - distance from support) At the fixed support, the distance from the support is zero, which means that the bending moment at that point is: Maximum Bending Moment (Mmax) = UDL × length of the cantilever Therefore, the maximum bending moment in a cantilever beam loaded with a UDL occurs at the fixed support. This information is essential for designing and analyzing cantilever structures to ensure they can withstand the applied loads without failure.
What do you mean bu equivalent shear force and equivalent bending moment?
MAXIMUM SHEAR force bending moment is zero shear force change inside is called bending moment
What is absolute maximum bending moment?
bending moment varies with the distance & the load carried by the beam. And also there is a hogging behavior and a sagging behavior occurs in the beam. According to the sign convention hogging and sagging bears opposite signs.(- & +). So if we are asked to find the maximum bending moment whether it is sagging or hogging we should consider the maximum value without considering the sign. That value is called maximum absolute bending moment.
What is Point of contraflexure?
The point of contraflexure is a critical location in the bending moment diagram of a structural member, such as a beam or a column. It is the point along the member's length where the bending moment changes direction from positive (sagging) to negative (hogging) or vice versa. In simple terms, it is where the bending moment is zero. The significance of the point of contraflexure lies in its effects on the behavior and design of the structural member. Here are some key points highlighting its importance: **Zero Bending Moment:** At the point of contraflexure, the bending moment is zero, meaning that there is no bending action or flexural stress acting on the member at that specific location. This point divides the member into two segments, one subjected to sagging and the other to hogging bending moments. **Critical Design Location:** Engineers and designers pay special attention to the point of contraflexure when analyzing and designing structural members. This is because it often represents a critical location where the member is subjected to the highest bending stresses. **Cracking and Deflection:** The point of contraflexure is associated with increased cracking potential in reinforced concrete members, particularly beams. The tensile forces on the bottom fiber and compressive forces on the top fiber cause potential cracking at this location. **Reinforcement Design:** The location of the point of contraflexure influences the design of reinforcement in reinforced concrete beams. Engineers often place additional reinforcement near this point to enhance the member's capacity to resist bending stresses. **Load Distribution:** Understanding the point of contraflexure helps in determining the distribution of loads and reactions along the length of the structural member. **Safety and Serviceability:** By analyzing the bending moment diagram and identifying the point of contraflexure, engineers ensure that the structural member meets safety and serviceability requirements, such as deflection limits. **Critical Analysis:** During the analysis of complex structures subjected to multiple loads and supports, the point of contraflexure can provide valuable insights into the behavior of the member and aid in determining the critical locations for design consideration. In conclusion, the point of contraflexure is a significant location in the bending moment diagram of a structural member. Its importance lies in identifying the locations where bending moments change direction and understanding the stresses and deflections associated with these points. Engineers use this information to design safe and efficient structural members that can withstand the applied loads and support the intended loads without failure.
What is difference between moment and bending moment?
A moment is a force that causes an object to rotate around a point, whereas bending moment is a measure of the force that causes an object to bend or deform. In structural engineering, bending moments are commonly used to analyze the stresses and deflections in beams or other structural members.
What is the difference between deflection and bending?
Bending moment With "bending" you really mean the bending moment. The bending moment in an inner stress within a member (usually beam) that allows it to carry a load. The bending moment doesn't say anything about how much a beam would actually bend (deflect). Deflection Deflection measures the actual change in a material you could call "bending." It measures the physical displacement of a member under a load.
What is the value of Shear Force at Point of Contraflexure?
0, bending moment is at maximum
What is bending moment?
Bending moment is a measure of the internal response in a structural element when an external force is applied perpendicular to the axis of the element, causing it to bend. It is the product of the force applied to the element and the distance from the point of application of the force to a reference point within the element. Bending moment is an important factor in the design of beams and other structural elements to ensure they can withstand the applied loads.
Shear force bending moment diagram?
a simple definition " IT'S A COUPLE OF FORCE HAVING EQUAL MAGNITUDE BUT OPPOSITE IN DIRECTION & HAVING VERY LESS DISTANCE BETWEEN THEM"
