Formula Used:
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Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. It is a crucial parameter in structural engineering for designing beams and other load-bearing elements.
The calculator uses the formula:
Where:
Explanation: This formula calculates the bending moment at any point along a simply supported beam subjected to a point load at the mid-point.
Details: Accurate bending moment calculation is essential for structural design, ensuring that beams and other structural elements can safely support applied loads without excessive deformation or failure.
Tips: Enter point load in Newtons (N) and distance from support in meters (m). All values must be positive numbers.
Q1: What is a simply supported beam?
A: A simply supported beam is a structural element that rests on supports at both ends, allowing rotation at the supports but preventing translation.
Q2: When is this formula applicable?
A: This formula is specifically for simply supported beams with a point load applied at the mid-point of the beam span.
Q3: What are typical units for bending moment?
A: Bending moment is typically measured in Newton-meters (N·m) or pound-feet (lb·ft) in engineering applications.
Q4: How does bending moment affect beam design?
A: Bending moment determines the required strength and size of a beam. Higher bending moments require stronger, larger beam sections to prevent failure.
Q5: Can this formula be used for distributed loads?
A: No, this formula is specifically for point loads. Different formulas are used for uniformly distributed loads or other load types.