In plastic analysis, the shape factor for rectangular section, is A. 1.4 B. 1.5 C. 1.6 D. 1.7

1.4
1.5
1.6
1.7

The correct answer is A. 1.4.

The shape factor is a dimensionless number that is used to determine the plastic collapse load of a structural member. It is defined as the ratio of the plastic moment of inertia of the cross-section to the elastic moment of inertia of the cross-section.

For a rectangular section, the shape factor is given by:

$S_f = \frac{I_p}{I_e} = \frac{bh^3}{6} \cdot \frac{1}{bh^3/12} = 1.4$

where $b$ is the width of the section, $h$ is the height of the section, and $I_p$ and $I_e$ are the plastic moment of inertia and the elastic moment of inertia of the section, respectively.

The shape factor is important because it determines the load-carrying capacity of a structural member. A higher shape factor indicates a higher load-carrying capacity.

The other options are incorrect because they are not the shape factor for a rectangular section.

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