Beam Deflection Calculator - BEcalc

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About Beam Deflection Calculator

Welcome to BEcalc, the ultimate Beam Deflection Calculator designed to provide you with precise and detailed calculations for beam deflection, slope, moment, shear, and reactions. Whether you're an engineer, architect, or a student, BEcalc simplifies complex beam analysis by offering a user-friendly interface and powerful computation capabilities. This tool is your go-to solution for all beam-related calculations, making it easier for you to focus on your project.





With BEcalc, you can quickly input your beam parameters, and obtain accurate results in a matter of seconds. Our calculator employs advanced algorithms to ensure the reliability and accuracy of your beam analysis, saving you time and effort. Say goodbye to the hassle of manual calculations and embrace the convenience of automated solutions.

Beam Calculator

Simple beam Calculator

21 items
• Simple beam Concentrated load at any point Calculator



• Simple beam Concentrated load at center Calculator



• Simple beam Couple moment Mo at any point Calculator



• Simple beam Couple moment Mo at center Calculator



• Simple beam Couple moment Mo at left end I Calculator



• Simple beam Couple moment Mo at left end II Calculator



• Simple beam Couple moment Mo at right end Calculator



• Simple beam Couple moments M1 and M2 at each end I Calculator



• Simple beam Couple moments M1 and M2 at each end II Calculator



• Simple beam Load increasing uniformly to center Calculator



• Simple beam Load increasing uniformly to right end Calculator



• Simple beam Sinusoidal distributed load Calculator



• Simple beam Two equal concentrated loads symmetrically placed Calculator



• Simple beam Two equal concentrated loads unsymmetrically placed Calculator



• Simple beam Two equal concentrated loads unsymmetrically placed II Calculator



• Simple beam Two equal couple moments Mo at each end Calculator



• Simple beam Uniform load partially distributed at each end Calculator



• Simple beam Uniform load partially distributed at left end II



• Simple beam Uniform load partially distributed at left end I



• Simple beam Uniform load partially distributed Calculator



• Simple beam Uniformly distributed load Calculator



Cantilever beam Calculator

11 items
• Cantilever beam Concentrated load P at any point Calculator



• Cantilever beam Concentrated load P at free end Calculator



• Cantilever beam Cosinusoidal distributed load Calculator



• Cantilever beam Couple moment Mo at any point Calculator



• Cantilever beam Couple moment Mo at free end Calculator



• Cantilever beam Load increasing uniformly to fixed end Calculator



• Cantilever beam Load increasing uniformly to free end Calculator



• Cantilever beam Uniform load partially distributed at fixed end Calculator



• Cantilever beam Uniform load partially distributed at free end Calculator



• Cantilever beam Uniform load partially distributed Calculator



• Cantilever beam Uniformly distributed load Calculator



Fixed fixed beam Calculator

18 items
• Fixed fixed beam Concentrated load at any point Calculator



• Fixed fixed beam Concentrated load at center Calculator



• Fixed fixed beam Couple moment Mo at any point Calculator



• Fixed fixed beam Couple moment Mo at center Calculator



• Fixed fixed beam Two equal concentrated loads symmetrically placed Calculator



• Fixed fixed beam Uniform load partially distributed at left end I Calculator



• Fixed fixed beam Uniform load partially distributed at left end II Calculator



• Fixed fixed beam Uniform load partially distributed Calculator



• Fixed fixed beam Uniformly distributed load Calculator



• Fixed pinned beam Concentrated load at any point Calculator



• Fixed pinned beam Concentrated load at center Calculator



• Fixed pinned beam Couple moment Mo at any point Calculator



• Fixed pinned beam Couple moment Mo at supported end Calculator



• Fixed pinned beam Two equal concentrated loads symmetrically placed Calculator



• Fixed pinned beam Uniform load partially distributed at fixed end Calculator



• Fixed pinned beam Uniform load partially distributed at supported end Calculator



• Fixed pinned beam Uniform load partially distributed Calculator



• Fixed pinned beam Uniformly distributed load Calculator



Overhanging beam Calculator

4 items
• Overhanging beam Concentrated load at any point between supports Calculator



• Overhanging beam Concentrated load at end of overhang Calculator



• Overhanging beam Uniformly distributed load Calculator



• Overhanging beam Uniformly distributed load on overhang Calculator



Reference

1 items
• https://www.vaxasoftware.com/doc_eduen/fis/beamdef.pdf

How to Calculate Beam Deflection: A Step-by-Step Guide




What is Beam Deflection?

Beam deflection refers to the amount by which a beam bends under an applied load. Calculating this deflection is crucial for ensuring that a beam can support the required loads without failure. Engineers use beam deflection calculations to design safer and more efficient structures.


Factors Affecting Beam Deflection


• Load Type and Magnitude: The type and size of the applied load (e.g., point load, distributed load).
• Beam Length: Longer beams tend to deflect more than shorter ones.
• Beam Material: The material’s stiffness (Young’s Modulus) affects deflection.
• Moment of Inertia (I): The beam's cross-sectional geometry determines its resistance to bending.
• Support Conditions: Different support types (e.g., simply supported, cantilever) influence the deflection behavior.


Step-by-Step Process to Calculate Beam Deflection


To calculate beam deflection, engineers apply beam bending theory. Here are the key steps:

Step 1: Determine the Type of Beam and Load Configuration

Identify whether the beam is subjected to a point load, uniformly distributed load, or varying distributed load. This affects the deflection calculation method.

Step 2: Choose the Appropriate Formula for Deflection

Different loading conditions require different formulas. Below are some common formulas for calculating deflection.


For a Simply Supported Beam with a Central Point Load (P):


The deflection at the center of the beam is:

        δmax = P L3 / 48 E I
        

• P = Load applied at the center (in Newtons)
• L = Length of the beam (in meters)
• E = Young’s Modulus of the material (in Pascals)
• I = Moment of inertia of the beam’s cross-section (in m⁴)


For a Simply Supported Beam with a Uniformly Distributed Load (w):

        δmax = 5 w L4 / 384 E I
        

For a Cantilever Beam with a Point Load (P) at the Free End:

        δmax = P L3 / 3 E I
        

Step 3: Calculate the Moment of Inertia (I)


The moment of inertia depends on the beam’s cross-sectional shape:

• Rectangular Section: I = (b h3) / 12
• Circular Section: I = π d4 / 64


Step 4: Perform the Calculation


Substitute the known values into the relevant formula and calculate the beam deflection.


Step 5: Check the Deflection Limit


Ensure the deflection is within acceptable limits. The deflection should typically be less than L / 360.

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Chart of Metals Strength




The following chart shows the Tensile and Yield Strength of various metals along with Hardness and Density values.



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