Maximum Bending Moment If Maximum Bending Stress Is Given For Strut With Axial And Point Load Calculator

Formula Used:

\[ M = \frac{\sigma_{bmax} \times A_{sectional} \times (r_{least})^2}{c} \]

Maximum Bending Stress (σ_bmax):

Column Cross Sectional Area (A_sectional):

m²

Least Radius of Gyration Column (r_least):

Distance from Neutral Axis to Extreme Point (c):

Maximum Bending Moment In Column (M):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Maximum Bending Moment?

Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment. It represents the peak internal moment that resists external loads causing bending in structural members.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M = \frac{\sigma_{bmax} \times A_{sectional} \times (r_{least})^2}{c} \]

Where:

\( M \) — Maximum Bending Moment In Column (N·m)
\( \sigma_{bmax} \) — Maximum bending stress (Pa)
\( A_{sectional} \) — Column Cross Sectional Area (m²)
\( r_{least} \) — Least Radius of Gyration Column (m)
\( c \) — Distance from Neutral Axis to Extreme Point (m)

Explanation: This formula calculates the maximum bending moment based on material properties, cross-sectional characteristics, and geometric parameters of the structural member.

3. Importance of Maximum Bending Moment Calculation

Details: Accurate calculation of maximum bending moment is crucial for structural design and analysis, ensuring that structural members can safely resist applied loads without failure due to bending stresses.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Maximum bending stress in Pascals (Pa), cross-sectional area in square meters (m²), radius of gyration in meters (m), and distance in meters (m). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is bending stress?
A: Bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Q2: What is radius of gyration?
A: Radius of gyration is the distance from an axis at which the mass of a body may be assumed to be concentrated.

Q3: What is the neutral axis?
A: The neutral axis is the axis in the cross-section of a beam where there is no longitudinal stress or strain.

Q4: When is this formula applicable?
A: This formula is specifically applicable for struts with axial and point load conditions.

Q5: What are typical values for these parameters?
A: Values vary significantly based on material properties, cross-sectional geometry, and loading conditions. Always consult structural engineering references for specific applications.