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Transport

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CVEN 4101 Assignment 1 Saptak Choudhury-z3321354

Discipline

The particular field of discipline chosen was Structures.

Situation

The assignment precisely emphasizes on Beams for the construction of a residential apartment, which is closely interrelated with columns and slabs.

Controls: 1) Configurations of beam span. (Width, length, shape, bracing)

2) Material particularities (steel, bar spacing, concrete, admixtures)

3) Known/ Estimated Loads on beam

Pattern of the geometry could be modified at any stage to optimize the objective. Along with the choice of materials; the quantities can make substantial difference in efficiency.

States/Outputs: 1) Vertical Deflections

2) Internal Stress/Strains

3) Durability

4) Fire-safety-durations (Fibre-Reinforced Polymer)

State variables are correlated to Control; control variables are primarily chosen to satisfy the conditions of States. Minimum cover, trial depth etc. are some early estimates which are altered overtime to meet certain standards.

Model: 1) Key modelling features include 2 prime equations:

i) Deflection equation- δmax = 5*ω*l4/384*E*I [Where δmax- maximum sustainable deflection, ω- uniform load, l- length of the beam, E- Young’s modulus, I- second moment of inertia]

ii) Strength equation- R = (*Rn [Where R- load (dead or live; force, moment or stress),Rn- nominal strength (design strength), (- reduction factor]

Deflection equations are derived according to the nature of load and type of beams. In this case a uniform load applied to fixed beam was assumed. Reduction factors are used to allow for the probability of understrength members due to variation in material strengths and dimensions.

Objectives: 1) Minimum...

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