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Preliminary Design: Initial Beam Dimension Analysis

Preliminary Design of Beams

A. Beams in Intermediate Moment Resisting Frame (IMRF)

a) Minimum Height

If a structure is classified under an Intermediate Moment Resisting Frame (IMRF) system and uses non-prestressed concrete, the minimum beam depth (hmin) is determined as follows:

Support ConditionMinimum h
Simply supportedl / 16
One end continuousl / 18.5
Both ends continuousl / 21
Cantileverl / 8

Where:
l = beam span length

This table is based on Table 9.3.1.1 from ACI 318-14, which assumes normal-weight concrete and reinforcement yield strength of 60,000 psi.

  • For reinforcement strengths above 60,000 psi, refer to Clause 9.3.1.1.1.
  • For lightweight concrete, refer to Clause 9.3.1.1.2.

Definitions:

  • Simply supported: a beam with two supports only.
  • Continuous: the beam is connected to adjacent spans on one or both sides.
  • Cantilever: a beam supported only at one end.

In practice, for beams other than cantilevers, a common simplification is to use:
hmin = l / 10

b) Minimum Width

There is no specific requirement in ACI 318-14 for the minimum width of beams during preliminary design for IMRF. However, practical field applications commonly use:

  • bmin = 1/2 h, or
  • bmin = 2/3 h

B. Beams in Special Moment Resisting Frame (SMRF)

For beams in a Special Moment Resisting Frame (SMRF) system, additional dimensional requirements apply:

  • The clear span (ln) shall be at least 4d
  • The beam width (bw) shall be at least the leseer of 0.3h and 10 in
  • The projection of the beam width beyond the width of the supporting column on each side of the column shall not exceed the lesser of c2 and 0.75c1 .

Where:

  • d = effective depth of the beam
  • c1 = length of the column
  • c2 = width of the column

Conclusion

Preliminary design is an essential step in structural design. It includes estimating initial dimensions based on:

  • The selected structural system, as each moment frame type (OMRF, IMRF, SMRF) uses different design assumptions.
  • The material strengths of concrete and reinforcing steel. For example, beams with 60,000 psi reinforcement require specific formulas outlined in the code.

By conducting a thorough and code-compliant preliminary design, engineers lay the foundation for accurate, safe, and cost-effective structural solutions.

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