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Adam Lohonyai
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Geometry of Joist Bridging
If you look at typical wood floor framing, you will often see rows of
cross-bridging between the floor joists. The bridging helps prevent
joists from twisting when they're loaded. It also helps make sure
concentrated loads are shared between multiple joi...
Geometry of Joist Bridging
Geometry of Joist Bridging
alohonyai.blogspot.com
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Another Three Cones and a Sphere
In my previous post I solved a geometry problem involving three cones and a sphere . This time, I solve the same problem, with one small difference: the bottom of the sphere is above the elevation of the base of the cone. What is the sphere's radius, R_sphe...
Another Three Cones and a Sphere
Another Three Cones and a Sphere
alohonyai.blogspot.com
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Three Cones and a Sphere
Three identical cones with radius R _ cone and height h are placed such that the circular bases touch one another (i.e. are mutually tangent). A sphere is then placed in the space between the cones. The sphere is touching the ground and all three cones, and...
Three Cones and a Sphere
Three Cones and a Sphere
alohonyai.blogspot.com
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Deconstructing Construction Vibrations
Ground vibrations can come from a large number of different sources, such as rail and vehicular traffic, jackhammering, bulldozing, pavement milling, vibratory compaction, pile driving, and blasting.  The magnitude of these vibrations can vary from being im...
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For a Few Birthdays More
Okay, maybe it CAN be worse than Paint Your Wagon . It's that time again. Time to solve some math problem involving birthdays. I've previously solved the Classic Birthday Problem , as well as the Near-Match , First Match (and First Near-Match), Same Birthda...
For a Few Birthdays More
For a Few Birthdays More
alohonyai.blogspot.ca
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Masonry Patterns
T he
simplest and most common patterns in modern masonry construction are running
bond and stack bond. In running bond, masonry units in one course are centred
over the head joints in the course below. As any child who’s experimented with
blocks knows, this...
Masonry Patterns
Masonry Patterns
alohonyai.blogspot.ca
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The Generalized Egg Drop Problem
The
original puzzle goes something like this: You have some identical eggs and a
100-storey building. You do not know what is the highest floor one can drop an
egg from without breaking it, but for some reason you need to find out. What is
the minimum numbe...
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Olympic Champions vs. the Average Joe in Track & Field
Bill Murray tweeted that every Olympic event should include an average person competing for reference, so I decided to try and find out what that might look like (at least for the track and field events). Track and field results that I could use to determin...
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Making America Great?
Here are some of the things Donald Trump thinks will make America great: A massive wall along the Mexico-US border that will likely be both ecologically devastating and largely ineffective in eliminating smuggling and illegal border crossings.  Because bord...
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SQA Higher Mathematics Examination 2015 (Part Two)
This past year, the  Scottish Qualifications Authority  rolled out a new Higher Mathematics Examination, a test many high school students take to demonstrate they have an acceptable grasp of mathematics to be admitted to university. There are similar examin...
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