Welcome to the Beam Calculator. A free, online beam calculator to generate shear force diagrams, bending moment diagrams, deflection curves and slope curves for simply supported and cantilvered beams. Select a beam and enter dimensions to get started. Then scroll down to see shear force diagrams, moment diagrams, deflection curves, slope and tabulated results.

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At Lattice Materials, we follow rigorous manufacturing processes to produce infrared optical components that consistently deliver high-quality optical performance.

The beam calculator is a great tool to quickly validate forces in beams. Use it to help you design steel, wood and concrete beams under various loading conditions. Also, remember, you can add results from beams together using the method of superposition.

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Meeting such diverse and individual requirements of various applications requires custom design and made-to-order shaping of IR materials.

We make elegant, powerful structural engineering and structural analysis software. Try some of our other free tools:

IROptical Sensor

We use specialized equipment and advanced techniques to produce custom optics with different geometries, such as flats, rounds, and other shapes that cater to specific needs.

Easy to read, printable and comprehensive design reports. AISC Steel and NDS Wood Design LRFD and ASD Design Checks and Load Combinations.

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Whether it’s optical design of thermal imaging systems, spectroscopy devices, or photonic solutions, our custom shaping capabilities enable better IR performance optimization.

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Custom shaping involves techniques such as precision grinding, polishing, diamond turning, or other advanced machining processes. We ensure the accuracy and quality of the final shape, meeting stringent tolerances and optical specifications.

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IRlens material

Building infrared optical components to spec requires the highest level of precision and expertise, as even minor variations in the manufacturing process can significantly impact the final product’s performance.

Infrared optical systems are designed to work in the infrared (IR) region of the spectrum, that is, wavelengths that are longer than visible light, typically ranging from around 700 nanometers to one millimeter.

English (inches, kips, ksi) English (inches, kips, ksi) Metric (meters, kN, kPa)

Design multi-span beams with complex loads with WebStructural's intuitive interface. An interactive drawing area allows you to design complex, multi-span beams in minutes.

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We use these equations along with the boundary conditions and loads for our beams to derive closed-form solutions to the beam configurations shown on this page (simply supported and cantilver beams). The beam calculator uses these equations to generate bending moment, shear force, slope and defelction diagrams.

Choose from a wide variety of steel and wood shapes. AISC steel, NDS wood shapes with shape properties to help you meet the demands on your beams.

Of course, it is not always possible (or practical) to derive a closed-form solution for some beam configurations. If you have a steel, wood or concrete beam with complex boundary conditions and loads you're better off solving the problem numerically with one of our finite element analysis tools. If you're not worried about design codes and comparing beam demand and beam capacity, try out our easy to use Shear & Moment Calculator. If you need full design checks via AISC 360, NDS, ASD and LRFD for steel or wood beam design and you want to design your next beam in minutes, you might like our Beam Designer tool.

Lattice Materials specializes in manufacturing infrared optical lenses, windows, and mirrors. We use high-purity, in-house custom-grown silicon and germanium to produce IR optics. Silicon is commonly used in the near-infrared (NIR) and mid-wave infrared range (MWIR), while germanium is used in both the mid-wave infrared range (MWIR) and long-wave infrared range (LWIR).

At Lattice Materials, we build infrared optical components to customized specifications using carefully controlled manufacturing processes:

There are many technical challenges in manufacturing infrared optics, such as maintaining high optical quality over a wide range of temperatures, minimizing unwanted reflections, and reducing the absorption of infrared radiation.

This calculator is based on Euler-Bernoulli beam theory. The Euler-Bernoulli equation describes a relationship between beam deflection and applied external forces. The simplest form of this equation is as follows:

Infrared (IR) optics are critical in industries such as defense, where they are used in thermal imaging systems to detect and track objects based on their heat signatures. In medical imaging, IR optics help create images based on the thermal radiation emitted by tissues in the human body.

Do you have a custom requirement for silicon and germanium infrared optics? Send us your specifications, and our engineering and sales teams will connect with you to discuss your project details.