architecture involves calculus, algebra and basic arithmetic and geometry to answer questions regarding subjects below. these come up at licensing exams.. and, this is only the partial (structural) list of things you would encounter in architecture requiring mathematical understanding and skills. architectural production goes hand in hand with numbers and other computational means in all stages and everyday.
every architect is at least minimally competent in college level engineering calculus and statistics unless they kind of fallen trough the cracks of the system unnoticed.
an architect needs to be very familiar with all kinds of calculations and have a 'feel' to detect if there is something wrong with the numbers and tallys and other measurements.. period.
you might never use complicated calculations because there are others who do them as the part of the project team but as an architect you need to be able to understand and interpret those.
structural/architectural list of problems and subjects requiring knowledge of mathematics:
Area, Section Modulus, Moment of Inertia
Centroid of Sections
Center of Rigidity
Force and Moment Defined
Equilibrium Equations, Beam and Truss Reactions
Diaphragms (Flexible and Rigid Force Distribution)
Torsion
Overturning of shearwall elements (factor of safety and holdown
forces)
Shear and Moment Diagrams
Chords and Collectors (Drag Struts)
Axial Stress
Bending Stress
Modulus of Elasticity
Axial Deformation
Thermal movements and stresses (unrestrained versus restrained)
Shear Stress
Beam Penetrations
I've been on a stair kick lately : rise and run calculations for steps. Most architectural design beyond the earliest conceptual phase involves really simple calculations of area for estimated amount of people, number of toilets in the washrooms based on that area, egress stuff like the minimum corridor width and maximum length based on the anticipated number of people on a given floor etc.
Orhan: I'm pretty sure we did just about everything on your list without using calculus in our Structures class... We might have glossed over diaphragms and chords and collectors, though. (are those where calculus becomes necessary?) Structures was all about balancing equations with 2 unknowns (truss design), or being really good at navigating the Steel Manual, neither of which I'd consider tasks that require higher level mathematics.
I've just gone through 3 quarters of structures and didn't employ any calculus whatsoever. Which is fortunate, because all I've got under the hood is college algebra, trig, and physics 101...
Mathematics in Architecture
What are examples of architecture problems that require math?
Share your views...
Convert 34" into feet and inches.
You worked 85 hours a week for the last 2 months. You got paid at 37.5 h/w rate.
How much more money would have you made if you worked at a McDonald's instead?
an example problem to try.. I don't know how to upload direct so here is a link
architecture involves calculus, algebra and basic arithmetic and geometry to answer questions regarding subjects below. these come up at licensing exams.. and, this is only the partial (structural) list of things you would encounter in architecture requiring mathematical understanding and skills. architectural production goes hand in hand with numbers and other computational means in all stages and everyday.
every architect is at least minimally competent in college level engineering calculus and statistics unless they kind of fallen trough the cracks of the system unnoticed.
an architect needs to be very familiar with all kinds of calculations and have a 'feel' to detect if there is something wrong with the numbers and tallys and other measurements.. period.
you might never use complicated calculations because there are others who do them as the part of the project team but as an architect you need to be able to understand and interpret those.
structural/architectural list of problems and subjects requiring knowledge of mathematics:
Area, Section Modulus, Moment of Inertia
Centroid of Sections
Center of Rigidity
Force and Moment Defined
Equilibrium Equations, Beam and Truss Reactions
Diaphragms (Flexible and Rigid Force Distribution)
Torsion
Overturning of shearwall elements (factor of safety and holdown
forces)
Shear and Moment Diagrams
Chords and Collectors (Drag Struts)
Axial Stress
Bending Stress
Modulus of Elasticity
Axial Deformation
Thermal movements and stresses (unrestrained versus restrained)
Shear Stress
Beam Penetrations
I've been on a stair kick lately : rise and run calculations for steps. Most architectural design beyond the earliest conceptual phase involves really simple calculations of area for estimated amount of people, number of toilets in the washrooms based on that area, egress stuff like the minimum corridor width and maximum length based on the anticipated number of people on a given floor etc.
Orhan: I'm pretty sure we did just about everything on your list without using calculus in our Structures class... We might have glossed over diaphragms and chords and collectors, though. (are those where calculus becomes necessary?) Structures was all about balancing equations with 2 unknowns (truss design), or being really good at navigating the Steel Manual, neither of which I'd consider tasks that require higher level mathematics.
I've just gone through 3 quarters of structures and didn't employ any calculus whatsoever. Which is fortunate, because all I've got under the hood is college algebra, trig, and physics 101...
the structures they teach you is all calculus based, but its all been distilled down into usable formulas.
The inverse proportion function:
The value of a service is inversely proportional to its degree of completion.
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