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A ridge beam is a horizontal beam placed at the apex of a sloping roof. It is designed to support the weight of the roof and transfer it to the supporting walls. ClearCalcs provides a ridge beam calculator, which helps engineers determine the appropriate span and size of ridge beams based on the specific roof design and loading conditions.
Calculating the load on a beam is an essential step in structural analysis and design. The ClearCalcs Free Beam Calculator cannot calculate load on the beam like the ClearCalcs Design Calculators but can demonstrate the effects of specified loading that can be found through standards and prior calculations by the user.
Distributed Loads are specified in units of force per unit length, kN/m or plf, along the beam, and can be applied between any two points. Two different types can be applied in the calculator:
Bending moment is a measure of the internal moment or torque exerted on a beam section. It quantifies the resistance of the beam to bending under an applied load. Bending moment is crucial for understanding how the beam will behave and deform under different loading conditions.
The ClearCalcs Free Beam Calculator does not specify the weight of beams, however wood, steel, cold-formed steel and concrete beam calculators do calculate the self-weight of the beam and take it into account in the load analysis. These calculators provide a beam weight calculation feature that allows engineers to determine the weight of a beam based on its properties.
There are a few different collimation tools available. Lasers, cheshire eyepieces, etc. I’ve used two different laser collimators, I’ve done some modifications using paper and special caps, and even used my eyes to try and get it right. It’s difficult, it can take a LONG time until you get the hang of it. While the tools will usually get you pretty close, and sometimes, if you’re lucky and good, nearly dead-on, that’s usually where it ends.
Collimatinglens
So, I don’t want to talk about those other tools right now. I want to talk about using the actual things we are trying to photograph, in the real conditions, in the field (or your backyard): a star.
However, the maximum beam span can be calculated by iteration: testing different spans for a set beam size and assessing the load utilization before coming up with the most efficient design.
Using the cursor to hover over any point on the bending moment, shear force or deflection diagrams gives the specific values at that location along the beam. The example below shows the outputs for a two-span continuous beam with a linear distributed patch load and point load.
He is also an internationally published and commissioned astrophotographer, where his photos have been used in multiple online and print publications.
Second Moment of Area (or Moment of Inertia) is also specific to the beam section selected, and again defaulted to the properties of a common steel beam.
[…] if you make the binoculars wider or narrower to fit another person’s eyes. One of the most difficult collimation issues to detect is involuntarily, but it is more easily detected at night. When you see two images with […]
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Beam deflection refers to the degree of bending or deformation that occurs in a beam under the applied loads. It is a crucial factor to consider when designing structures, as excessive deflection can lead to structural failure or discomfort for occupants.
The ClearCalcs Free Beam Calculator simplifies the process of calculating bending moment. By inputting the appropriate loads and beam properties, the calculator determines the bending moment at various points along the beam's span. This information is then used to generate a bending moment diagram, which provides a visual representation of the bending moment along the beam.
Collimation definition in radiography
Stars are the best way to really check your telescope’s collimation, because, well…that’s what we need to have in perfect focus for those perfect photos. Or even half-decent photos. No focus, no photo, big problem.
Beam size refers to the cross-sectional dimensions of a beam. It includes parameters such as height, width, and thickness, which directly influence the beam's strength and load-carrying capacity.
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Deck beams are horizontal beams used to support the deck or balcony structure. They are subjected to various loads, including the weight of the deck, furniture, and occupants. ClearCalcs Beam Calculator includes a deck beam calculator, which helps engineers determine the required size and span of deck beams to ensure structural stability and safety.
The ClearCalcs Free Beam Calculator provides an efficient way to calculate beam deflection. By inputting the loads, beam properties, and support conditions, the calculator determines the deflection at different points along the beam's span.
Note: If one of the adjustment screws starts to feel tighter than you think it should, rather loosen the screws on the opposite side instead.
Houston, we’ve got a problem. Your collimation is out, that’s probably why you can’t focus. Try this quick and dirty method of adjusting the secondary mirror, which is always done first anyway. Note, this is NOT a full tutorial to fully collimate your telescope, because methods of collimation vary by the type of scope you have. However, this will give you an idea of how to get some quick results in the field if you are really annoyed with your focus.
A bending moment diagram helps engineers identify critical points in a beam where the moment is maximum or minimum. By analyzing the diagram, engineers can determine the required size and reinforcement of the beam to ensure it can safely resist the applied loads without exceeding its bending capacity. Using the example above, a beam would need a moment capacity of more than 1kNm to be structurally adequate from a strength perspective.
By simply selecting the member from the member selector or manually inputting the material type, dimensions, and length, the calculator quickly calculates the weight of the beam. This information is useful for assessing the overall load on the structure and making informed decisions during the design process.
In structural engineering, beams serve various functions and are designed to meet specific requirements based on their application. Understanding the different types of beams available and their unique characteristics can help engineers select the most suitable beam for their specific structural needs. Here are some common beam types:
A continuous beam is a beam that is supported at more than two points along its length. It provides additional support and stability compared to simply supported beams, as the load is distributed across multiple support points. The ClearCalcs Free Beam Calculator can be utilised to assess continuous beams moment demand, shear demand and deflection by inputting as many fixed, pinned and roller supports as required. ClearCalcs also has wood, steel, cold-formed steel and concrete beam calculators, easily assisting engineers to determine the suitable sizes, spans, and support conditions and locations for continuous beams in their structural designs.
I’ve been gearing up for this year’s major planetary oppositions, where Jupiter, Saturn, and Mars are the largest apparent size in our sky, so the time of year when they are prime astrophotography targets. Doing this has spurred me on to get out our longest focal length telescope (a GSO 12″ F/8 Ritchey Chretien) and do some testing. At first, I was severely disappointed; focus issues made the the first couple of nights out a nearly soul-destroying experience, but I kept at it. And, I fixed it. Here’s how.
The beam calculator also allows cantilever spans at each end, as the position of the first support does not have to be equal to 0mm and the last support position does not have to be equal to the length of the beam.
The ClearCalcs Free Beam Calculator provides a dedicated beam reaction calculation feature. By inputting the beam span, support conditions, and applied loads, the calculator determines the reaction forces at the beam's support points. This information is essential for designing proper supports and connections.
By populating the loads and design conditions, users can view the shear force diagram, bending moment diagram, and deflections.
This information is useful for evaluating the structural integrity of the beam and making necessary adjustments to ensure it meets serviceability design requirements. Clearcalcs Free Beam Calculator easily determined that the above example sags 0.282mm at 1mm from the left support.
Shear force is the internal force within a beam that acts parallel to the cross-section. It is the result of transverse loads applied to the beam and plays a significant role in determining the beam's structural integrity.
Repeat the steps above for until you are able to move the diffraction pattern in a predicted way and you are able to get the circles as concentric as possible. You want even gaps all the way around, as perfect as you can get.
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Specify beam geometry and loads to get started analysing the beam. The beam calculator automatically uses ClearCalcs' powerful finite element analysis engine to determine moment, shear, and deflection as you work.
The ClearCalcs Free Beam Calculator simplifies the calculation of shear forces. By inputting the loads and beam properties, the calculator determines the shear force at different points along the length of the beam. This information is then used to generate a shear force diagram, which visually represents the variation of shear forces along the beam.
You will notice that the circles in the pattern will move a certain direction when a specific screw is loosened or tightened. The more you do it, the more it makes sense. Just remember the “push/pull” effect the collimation screws have on the mirror. If the diffraction pattern needs to move from a different side than what you adjusted, pick a different screw to adjust, and see which way the circles move. It take a bit to get the hang of it, but if you do it right, it’ll work!
A flitch beam is a composite beam made by sandwiching a steel plate between two wooden beams. This combination provides the benefits of both materials, with the steel plate offering enhanced strength (particularly in tension) and the wooden beams providing versatility, cost-effectiveness and ease of construction.
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WARNING: DO NOT TOUCH the secondary mirror or any glass surface, and be careful to NOT DROP TOOLS into the telescope tube. Damaging either mirror is a risk and extreme care should be taken!
The ClearCalcs beam calculator allows the user to input the geometry and loading of a beam for analysis in a few simple steps. It then determines bending moment, shear and deflection diagrams, and maximum demands using a powerful finite element analysis engine.
Area of the Cross-Section is specific to the beam section selected, and is defaulted to the values for a common steel beam.
Ceiling joists are horizontal beams that support the ceiling of a structure. They are typically installed parallel to each other and help distribute the weight of the ceiling to the surrounding walls or beams. ClearCalcs’ ceiling joist calculator, enabling engineers to determine the suitable size and spacing of joists based on the ceiling load and span.
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Collimatingmirror
Without getting into the crazy but cool scientifical physics and math of it, collimation is, simply put, the physical alignment of your telescope’s optics. If your telescope is not properly collimated, it will be impossible to properly focus, no matter the sky conditions. Period. That’s all folks.
A simply supported beam is the most straightforward type of beam configuration most commonly used for beam-to-beam, and beam-to-column connections. It is supported at both ends (one end pinned and one end as a roller) and is free to rotate and deflect under the applied loads. The ClearCalcs Free Beam Calculator can be utilised to assess a simply supported beams moment demand, shear demand and deflection by inputting one support as pinned and the other as a roller. ClearCalcs also has wood, steel, cold-formed steel and concrete beam calculators, easily allowing engineers to determine the appropriate size and span of a simply supported beam for their specific design requirements.
Once the loading and geometry have been specified, the calculator automatically uses the ClearCalcs finite element analysis engine to determine the moments, shear forces and deflections. The maximum values of each are output as ‘Moment Demand’, ’Shear Demand’ and ‘Deflection’, along with the diagrams along the length of the beam.
An appropriate beam size is typically determined by iteration: testing different cross sections (sizes) and assessing the load utilisation before coming up with the most efficient design.
Shear and moment diagrams are graphical representations of the internal forces and moments within a beam. These diagrams provide valuable insights into how the shear force and bending moment vary along the length of the beam. By examining shear and moment diagrams, engineers can determine critical locations and identify areas of high stress or deflection.
Floor joists are horizontal beams that support the flooring of a structure. They provide stability and distribute the weight of the floor to the supporting walls or beams. ClearCalcs offers a floor joist calculator, assisting engineers in determining the appropriate size, spacing, and span of floor joists for various floor loads and spans.
ClearCalcs wood, steel, cold-formed steel and concrete beam calculators greatly speed up this process as different beam sizes can be assessed using the member selector providing instant results! ClearCalcs even has built in standard section sizes to ensure your beam design can be procured easily from a local manufacturer.
Signing up for a ClearCalcs account will unlock further advanced features for design and analysis of beams and a variety of other structural elements. ClearCalcs enables design in steel, concrete and wood, according to Australian, US and EU Standards.
Co-founder of PhotographingSpace.com, co-owner of several telescopes and mounts, too many cameras, and not enough hard drives, Cory is an American expat living in South Africa with his wife, Tanja Schmitz.
ClearCalcs offers a dedicated flitch beam calculator, which assists engineers in determining the optimal span and size of flitch beams for their projects. Users can input key properties of custom sections or use the member selector database.
An avid astrophotographer for timelapse, deep-space imaging, lunar, planetary, and star trail imagery, he is an all-around jack-of-most-trades for night-sky photography.
Linear Loads have a varying magnitude along the length of application. The different start and end magnitudes must be specified by the user, and they can be used to represent triangular or trapezoidal loads.
The reactions at each of the supports are automatically updated as supports are added, changed or deleted, based on the specified loading.
Mirrored optical telescopes like the Newtonian, SCT, RC, etc., will have a secondary mirror mounted on the business-end of the telescope tube (the front), held in place by either a “spider”, a glass pane, or some other method. On this, there will be adjustment screws, usually three of them, evenly spaced. Find those, carefully.
Point Loads are specified in units of force, kN or kip, and area applied at discrete points along the beam. For example, these can represent reactions from other members connecting to the beam. The user inputs the name, magnitude and location from the left of the beam.
Beam span refers to the length between two adjacent supports of a beam. It is a critical parameter to consider when designing beams, as it directly affects their load-carrying capacity and structural stability. Typically longer beam spans are preferable to ensure that spaces are open-planned increasing their versatility and market value.
Beam span is typically dictated by the architect or site constraints and usually it is up to the engineer to find the appropriate beam size based on this requirement (refer below section).
Positive values imply a downward deflection and negative values imply an upward deflection. The sign convention used in the shear force and bending moment diagrams is (positive values shown):
This information helps in designing appropriate beam supports and reinforcements to ensure the beam can withstand the applied loads. By helping a designer understand the locations where shear is critical, stiffeners can efficiently be added to beams where required.
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Position of Supports from Left allow the user to input any number of supports, and specify their position along the length of the beam. The support type can either be pinned (fixed in translation, free in rotation) or fixed (fixed in both translation and rotation) and is selected from the drop-down menu. A minimum of one fixed support, or two pinned supports are required.
Rafters are inclined beams that support the roof and transfer its load to the supporting walls or beams. They are typically designed in a triangular shape and play a crucial role in maintaining the structural integrity of the roof. ClearCalcs provides a rafter calculator, allowing engineers to determine the appropriate size, span, and spacing of rafters based on the roof design and loading conditions.
Collimatingdefinition
Is your telescope not performing? Keep reading. Want a quick and dirty way to check and tune your telescope’s collimation? Keep reading. Do you only have a refractor telescope? You can keep reading for fun, but there’s not much you can do about collimation. Don’t blame me for that…
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[…] a few different ways to determine whether or not you can see your binoculars in collimation. Some collimation issues may not be visible with the naked eye, but they may be visible at night. Collimation problems may […]
The example diagram below, from the summary section, shows a two-span continuous beam with a linear distributed patch load and point load.
To check the collimation of your telescope using a star, either a real one or an artificial one, like this. Often, an artificial star is easier to use because it doesn’t suffer from atmospheric effects seen in the example images. However, it usually isn’t handy to use an artificial star in the field.
The theory behind this is simple: those three screws will allow for a push/pull effect on the secondary mirror, allowing you to aim the light properly as it is reflected from the secondary mirror onto the camera sensor. Tightening (pulling) or loosening (pushing) will move the secondary mirror on the side where the screw is, which allows you to push or pull the circles in the diffraction pattern from that particular direction.
The properties E, A, and Ix for other beam sections can be obtained from the ClearCalcs section properties library. Alternately, you can create your own custom section using our free moment of inertia calculator.
A ‘Comments’ section is also included for the user to leave any specific design notes. Clicking on any of the input/property labels gives a descriptive reference explanation.
The shear force diagram is a valuable tool for engineers to understand how shear forces are distributed along the beam. By analyzing the diagram, engineers can identify critical points where the shear force is at its maximum or minimum.
Beam reaction forces refer to the external forces exerted on a beam at its support points. These reaction forces are crucial for determining the stability and overall behavior of the beam within a structure.
[…] methods can be used to determine whether or not your binoculars are out of alignment. In general, collimation issues can be identified more easily at night by looking in the naked eye, but some can also be identified […]
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Perhaps the most useful feature is the summary outputs, which detail deflection and overall utilization. If the utilization is low (<50%), structural designers may wish to reduce the section size or increase the span, depending on the needs of the project, to ensure the most efficient design. If the section is over-utilized (>100%), then a larger section will need to be employed or other design constraints adjusted. ClearCalcs makes it easy to adjust design parameters and instantaneously see the effect they have on the structural adequacy without having to perform the entire arduous design process again.
ClearCalcs wood, steel, cold-formed steel and concrete beam calculators greatly speed up this process as different spans & sizes can be trialled providing instant results! ClearCalcs even has built in standard section sizes to ensure your beam design can be procured easily from a local manufacturer.
The support conditions of a beam have a significant impact on its behavior and load distribution. Different support configurations result in varying levels of beam stability and load-carrying capacity. Here are some common beam support types:
NOTE: This quick tutorial is geared toward telescopes with mirrored optics, specifically those with a secondary mirror that allows for adjustment. Like a Newtonian, Ritchey Chretien, SCT, etc. While all optical instruments need collimation, refractors are typically not able to be adjusted outside the factory. This is NOT a full collimation tutorial, because you may also need to adjust the primary mirror, if things are really bad, but I’m not covering that here.
Uniform Loads have a constant magnitude along the length of application. Therefore, the start and end magnitudes specified by the user must be the same.
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A header beam is a horizontal beam used to provide structural support above door and window openings. It helps distribute the load from the structure above to the surrounding walls or columns. ClearCalcs offers a header beam calculator, allowing engineers to determine the required size and span of header beams for various openings in their projects.
A cantilever beam is a type of beam that is supported at one end and extends freely in space. It is commonly used in structures where a portion of the beam needs to project beyond its support, such as balconies or canopies. The ClearCalcs Free Beam Calculator can be utilized to assess a cantilever's moment demand, shear demand, and deflection by inputting a single support as fixed. ClearCalcs can design steel and concrete cantilevers helping engineers determine the maximum allowable length and size of a cantilever beam based on the applied loads and material properties. The fixed connection can be designed using ClearCalcs bolt connections and weld connection calculators.
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Calculating the weight of a beam is essential for determining its overall mass and understanding its impact on the structure. The weight of a beam depends on various factors such as its material, dimensions, and length.
Young’s Modulus is set to a default value of 200,000 MPa or 29000 ksi for structural steel, but can be edited by the user.
Access our library of support articles to get started using ClearCalcs and learn advanced tricks to manage your projects and calculations.
The calculator supports a variety of different loading types which can be applied in combination. Each load can be named by the user.
The ClearCalcs Free Beam Calculator allows users to input the different types of loads acting on the beam, including dead loads, live loads, and other relevant forces. The calculator will apply the loads. Below is the load outputs detailed on the example we have been working through.
Start your free ClearCalcs trial to unlock saving and export, as well as even more calculators for wood, steel, and concrete beams, columns, and footings.