What is the ratio comparing the total cross-sectional area of a circular profile to the area of its core_______________?
Show answer Hide answer
Answer: D. 16
Explanation
The core area ratio relative to the total area of a circular profile is sixteen. Calculating the area of the circular core involves specific geometric kernel limits. Comparing total cross-sectional area to core area for a circle yields a factor of sixteen. The core or kern of a section is the area where compressive loads must act to prevent tension. Keeping resultant loads within the core avoids tensile stresses in unreinforced masonry structures. Circular profiles have well-defined geometric core dimensions derived from section properties.
Designers of brick and stone masonry columns must ensure loads stay within the core area. Preventing tension in masonry prevents cracking and preserves structural stability over time. This geometric concept is essential in historical preservation and traditional masonry engineering. Option A underestimates the area ratio by suggesting a factor of four. Option B underestimates the total to core area ratio for circular profiles. Option C is incorrect because geometric calculations yield sixteen rather than twelve.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
Related questions
Q1. The ratio comparing a triangular section's moment of inertia about its base to that about a parallel centroidal axis equals_________________?
Show answer Hide answer
Answer: D. 3.0
The moment of inertia of a triangle about its base is bh cubed over twelve. The moment of inertia about its parallel centroidal axis equals bh cubed over thirty-six. Dividing the base moment of inertia by the centroidal...
Q2. The ratio of crippling loads for a column with both ends fixed versus a column with both ends hinged equals________________?
Show answer Hide answer
Answer: D. 4
Euler buckling formula states that crippling load is inversely proportional to the square of effective length. A fixed-fixed column has an effective length equal to half its actual physical span length. Squaring the half...
Q3. Homogeneous materials exhibit a ratio of lateral strain to axial strain designated as___________________?
Show answer Hide answer
Answer: C. Poisson’s ratio
Poissons ratio is defined as the ratio of lateral strain to longitudinal strain in materials. When a material stretches axially, it contracts laterally in the perpendicular direction simultaneously. Homogeneous elastic m...
Q4. A simply supported span L carrying a central concentrated load with flexural rigidity EI experiences a maximum deflection of______________?
Show answer Hide answer
Answer: D. WL3/48EL
The maximum deflection of a simply supported beam with central load W is WL cubed over 48EI. Flexural rigidity EI combines the modulus of elasticity with the moment of inertia. Integrating the moment curvature equation f...
Q5. The ratio of stresses induced by suddenly applied loads versus gradually applied loads on a bar equals__________________?
Show answer Hide answer
Answer: D. 2
A suddenly applied load releases its potential energy instantly, causing double the static deflection. Dynamic impact factors dictate that sudden loading induces twice the stress of gradual static loading. Equating strai...
Q6. The maximum deflection ratio of a simply supported beam with central load W to a cantilever of equal length loaded with W at the tip equals________________?
Show answer Hide answer
Answer: D. 1/16
Comparing simply supported central load deflection to cantilever tip load gives a ratio of 1/16. A simply supported beam deflection formula has a denominator of forty-eight. A cantilever beam tip deflection formula has a...