Calculators updated 7 Jun 2021 by Dave south re-superstructure this via email share this ~ above Twitter re-superstructure this on on facebook share this top top Reddit re-superstructure this ~ above Pinterest

Using the Spherical Dome Calculator

The MDI Spherical Dome Calculator helps calculate common architecture elements of a partial sphere set on an optional stem wall. That helps with quick style ideas and provides accurate dimensions when finalizing structure elements. Outputs incorporate circumference, surface ar area, volume, and also distances along and around the building’s miscellaneous details.

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A level input actions a part of the structure. Because that example, it deserve to calculate the area of a 2nd floor, show headroom roughly the dome perimeter, or calculate the volume and surface area of a part of the dome.

All parameters room stored in the web page URL which might be bookmarked, saved, and shared. Usage “Copy to Clipboard” come copy-and-paste results into your note or emails. Print web page or conserve as PDF because that a skilled copy the the drawing and also results.

Be aware that just due to the fact that the calculator can draw a structure, it does NOT median the structure can be built. This calculator is simply a tool. Always consult v qualified professionals before proceeding with a project.

This calculator is subject to our regards to Service.


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A complete spherical dome calculation consisting of a basketball court overlay and the imagine ceiling level because that the forced distance of play end the court. This is based upon the Italy High institution Multipurpose Center developed using a spray-in-place concrete stem wall. The calculated dome is 148-feet diameter, 30-feet tall, on a 16-foot high stem wall. Click because that the live calculator version of this gymnasium!


Inputs

Diameter. The all at once diameter of the structure. The calculator uses the diameter come the floor, stem wall, and base the the spherical dome. A single diameter intake is beneficial for quick estimates, yet when calculating a certain design that may have a various diameter for the stem wall, you must run two separate calculations.

Height. The elevation of the spherical dome native its base to the apex.

Stem Wall. The elevation of the stem wall surface extends vertically indigenous the circular floor come the base of the dome. The stem wall height is optional by leave the height collection to zero (0).

Level. The optional horizontal level over the floor develops a subsection the the structure. That calculates an imaginary circle at the level add to the upper section of the framework from the level come the apex.

Overlay. A scaled, graphical overlay to help in visually representing the building size and purpose.

Units. The selectable unit will label the calculator outputs and properly scale the overlay. Keep in mind that all numerical inputs need to be given in the exact same selected unit.

Floor

Diameter. The floor diameter is a one representing the floor, stem wall, and also dome basic diameter.

Radius. The floor radius is fifty percent the floor diameter and also is a advantageous number for miscellaneous calculations.

Circumference. The floor one is the distance around the circle-shaped floor, stem wall, and dome base.

Area. The floor area is the area that the circle inscribed through the floor diameter.

Dome

Height. The dome height is the street from the base of the dome come the apex.

Radius of Curvature. all dome structures defined by this calculator room a segment or “cap” the a sphere as identified by the dome’s diameter and also height. The radius that curvature is the calculation radius the the totality sphere of i beg your pardon the dome is a portion.

Surface Distance. The dome surface ar distance is the length from the apex, following the dome curve down to the dome base.

Surface Area. The dome surface area is technically the dome’s lateral surface ar area native the base to the apex.

Volume. The dome volume is the cubic measure of the volume encompassed by the structure’s dome portion.


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The spherical calculation of the Elkhart Ammonium Nitrate Storage. It is a 115-foot diameter hemisphere v a 36-foot tall stem wall integrated right into the blow up Airform membrane through the automobile overlay to display scale. Click for the live calculator version of this storage!


Stem Wall

Height. The stem wall height defines a cylinder’s elevation with the floor diameter and the stem wall surface height. That connects the floor to the dome base. Leave the stem wall height set to zero (0) to eliminate the stem wall.

Surface Area. The stem wall surface area is the area that the cylinder created by the stem wall.

Volume. The stem wall surface volume is the cubic measure up of the volume encompassed by the stem wall surface cylinder.

Total

Height. The total height is the as whole height that the structure, as identified by the amount of the stem wall surface and dome heights.

Surface Distance. The full surface street is the dome surface distance native the apex to basic plus the height of the stem wall equaling the distance follow me the surface ar of the structure from the apex to the floor.

Surface Area. The total surface area is the sum of the dome surface area to add the stem wall surface cylinder surface ar area.

Volume. The complete volume is the cubic measure up of the full volume encompassed by the complete structure.

Level

Height above Floor. The level height is the street from the floor to a horizontal “slice” at the level specified above the floor. It efficiently creates a subsection that the all at once building.

Diameter. The level diameter is the calculate diameter in ~ the mentioned level above the floor.

Radius. The level radius is the calculation radius — fifty percent the level diameter — at the mentioned level above the floor.

Circumference. The level circumference is the perimeter around the imaginary part at the level specified over the floor.

Area. The level area is the area of the circle defined by the imaginary slice at the level specified above the floor. A common use is to collection the level in ~ 10-feet (3 m) to calculate the second floor’s diameter and also area.

Portion over Level

Remaining Height. The imaginary slice through the framework at the specified level basically creates a second part of the in its entirety structure. The remaining elevation is calculated together the elevation from the mentioned level to the apex the the dome.

Surface Distance. The level surface ar distance is the overall surface distance from the dome apex come the imaginary slice at the mentioned level. That will appropriately follow the dome and even under the stem wall.

Surface Area. The level surface area is the staying structure’s in its entirety surface area above the imaginary slice at the specified level. It’s a surprisingly beneficial measure as soon as calculating material needs for a dome.

Volume. The level volume is the total cubic volume incorporated by the remaining structure over the stated level.

Overlays

An overlay is a scaled illustration to help convey the size, purpose, and scope that the calculated structure. They are for convenience only. No effort is made to “fit” them inside the structure or to identify their proper use because that a structure. They are simply a intuitive aid.

None. The none option deletes the overlay.

Person. The person overlay is the default overlay. The is a human rendered at 6-feet (1.8 m) tall.

Car. The car overlay is a mid-sized sedan v a 6-foot (1.8 m) human standing alongside it.

BBall. The bball overlay is the next silhouette the a typical American vain basketball court on a six-inch floor. We recommend setup the level parameter to 20.5 feet to present the conventional clearance height forced for a competition floor.

Loader. The loader overlay is a little front-end loader — 6,000 pounds (2800 kg) operating capacity with bucket — roughly 8 feet (2.5 m) tall beside a 6-foot (1.8 m) tall person.

Heavy.

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The heavy overlay is a huge front-end loader — 66,000 pounds (30,000 kg) operation weight — approximately 12.5 feet (3.8 m) tall beside a 6-foot (1.8 m) tall person.


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The spherical calculation of the very first Monolithic Dome created in Shelley, Idaho. It is a 105-foot diameter through 35-foot tall dome. You have the right to see indigenous the person overlay that it was also very ambitious for a first structure. This is the default structure produced by the calculator. Click for the live calculator version of this an initial dome!