[Building mathematics in imagination]

For the construction of a storeroom using concrete masonry units, it's essential to align the dimensions of the structure with the actual sizes of the blocks and the intended mortar joints. On the site in question, there's a stockpile of concrete masonry blocks with a nominal size of eight by eight by sixteen inches, which are to be used in the construction of the storeroom.
The site engineer has laid out a plan for the storeroom with external dimensions of twelve feet in length and...

Constructing a concrete masonry wall involves a series of steps designed to ensure durability, stability, and alignment. The construction starts with preparing the base, which includes cleaning the area where the wall will be erected. The next step involves spreading mortar where the first row of concrete blocks will be laid, typically starting at a corner section to help define the wall's boundaries.
Mortar application focuses on the face shells of the blocks, the sides that face outward,...

Masonry, known for its strength, durability, and aesthetic versatility, encompasses construction with solid stone or man-made units like bricks, clay tiles, terra cotta, and concrete blocks, combined to form structures like walls, floors, and arches. These units are placed in a systematic fashion, known as coursing, and are bound together using mortar—a mixture typically made of water, cement, and sand.
The process of building with masonry is hands-on and can be executed with basic tools....

Brick masonry uses bricks as the building blocks and involves building walls from individual bricks laid in mortar. The basic building block of brick masonry is the wythe, a vertical layer of bricks with a thickness of one brick. Within a wythe, bricks can be laid in various courses or patterns, with the most common being the stretcher course, where bricks are laid with their long edge horizontal and face parallel to the wall.
For thicker walls, multiple wythes are bonded together using...

Archimedes' principle states that an upward buoyant force exerted on a body that is immersed partially or entirely in a fluid is equal to the weight of the fluid displaced by it. To understand how much buoyant force is needed to make an object float, let us think about what happens when a submerged object is removed from a fluid. If the object were not in the fluid, the space occupied by the object would be filled by the fluid having a weight wfl. This weight is supported by the...

In brick wall construction, supporting structures are crucial for openings like windows and doors to maintain the integrity and support the weight of the wall above. These supports include lintels, corbels, and arches, each serving specific structural purposes.
Lintels are primary supports used to span openings and can be crafted from materials such as reinforced concrete, steel-reinforced brick masonry, or simple steel angles. These are straightforward to install and are typically concealed...