Table K5.1: (continued)

Effective Weld Properties for Connections to Rectangular HSS

Connection Type Weld Properties

Overlapped K-connections under branch axial load

Key Information: Overlapped K-Connection Diagram Structural Components and Parameters: Main Member

Figure description:

Key Information: Overlapped K-Connection Diagram

Structural Components and Parameters:

Main Member (Chord:
- $H, B, t$ : Height, width, and wall thickness of the rectangular chord.
- $e$ : Eccentricity (vertical distance between branch axis intersection and chord centerline.
Overlapping Branch ( $i$ :
- $H_{bi}, B_{bi}, t_b$ : Height, width, and wall thickness.
- $\theta_i$ : Angle of inclination to the chord.
- $P$ : Applied axial tensile load.
Overlapped Branch ( $j$ :
- $H_{bj}, B_{bj}, t_b$ : Height, width, and wall thickness.
- $\theta_j$ : Angle of inclination to the chord.
- $P$ : Applied axial compressive load.

Connection Details:

Type: Overlapped K-connection where member $i$ sits partially on member $j$ .
Load State: Branches are subjected to opposing axial loads ( $P$ .

Overlapping member effective weld properties (all dimensions are for the overlapping branch, i)

Technical diagram showing effective weld properties for an overlapping branch member

Figure description:

Technical diagram showing effective weld properties for an overlapping branch member.
Section A-A: Effective weld layout for conditions where $B_{bj} \le 0.85$ and $\theta_j \le 50^\circ$ .
Horizontal Dimension: $\frac{H_{bj}}{\sin \theta_j}$
Vertical Dimension: $\frac{B_{ej}}{2}$
Key Entities: Represents the weld configuration on a structural member with dashed and solid lines indicating weld boundaries.

Section A-A: Effectve weld when $\frac{B_{b j}}{B} \leq 0.85$ and $\theta_{j} \leq 50^{\circ}$

Structural diagram for calculating effective weld length in a connection

Figure description:

Key Information: Section A-A: Effective Weld

Subject: Structural diagram for calculating effective weld length in a connection.
Formula: $\frac{H_{bj} - 1.2t_{bj}}{\sin \theta_j}$
Application Condition: This specific calculation for Section A-A applies when:
- $\frac{B_{bj}}{B} > 0.85$ OR
- $\theta_j > 50^\circ$
Visual Elements: Diagram shows a cross-section of a rectangular or square hollow section with the dimension for the effective weld indicated between two internal points.

Note that the force arrows shown for overlapped K-connections may be reversed; $i$ and $j$ control member identification.

When $25 \% \leq O_{\mathrm{v}}<50 \%$

\begin{aligned} l_{e, i} & =\frac{20 O_{v}}{50}\left[\left(1-\frac{O_{v}}{100}\right)\left(\frac{H_{b i}}{\sin \theta_{i}}\right)+\frac{O_{v}}{100}\left(\frac{H_{b i}}{\sin \left(\theta_{i}+\theta_{j}\right)}\right)\right] \\ & +B_{e o i}+B_{e o v} \end{aligned}

(K5-10)

When 50% ≤ Ov < 80%

\begin{aligned} l_{e, i} & =2\left\{\left(1-\frac{O_{v}}{100}\right)\left(\frac{H_{b i}}{\sin \theta_{i}}\right)+\frac{O_{v}}{100}\left[\frac{H_{b i}}{\sin \left(\theta_{i}+\theta_{j}\right)}\right]\right\} \\ & +B_{e o i}+B_{e o v} \end{aligned}

(K5-11)

When $80 \% \leq O_{y}<100 \%$

\begin{aligned} l_{e, i} & =2\left\{\left(1-\frac{O_{v}}{100}\right)\left(\frac{H_{b i}}{\sin \theta_{i}}\right)+\frac{O_{v}}{100}\left(\frac{H_{b i}}{\sin \left(\theta_{i}+\theta_{j}\right)}\right)\right\} \\ & +B_{b i}+B_{e o v} \end{aligned}

(K5-12)

B_{e o i}=\frac{10}{B / t}\left(\frac{F_{y} t}{F_{y b i} t_{b i}}\right) B_{b i} \leq B_{b i}

(K3-13)

B_{\mathrm{eov}}=\frac{10}{B_{b j} / t_{b j}}\left(\frac{F_{y b j} t_{b j}}{F_{y b i} t_{b i}}\right) B_{b i} \leq B_{b i}

When $B_{b i} / B>0.85$ or $\theta_{i}>50^{\circ}, B_{e o i} / 2$ shall not exceed $B_{b i} / 4$ and when $B_{b i} / B_{b j}>0.85$ or $\left(180-\theta_{i}-\theta_{j}\right)>50^{\circ}, B_{e o v} / 2$ shall not exceed $B_{b i} / 4$ .

Subscript $i$ refers to the overlapping branch. Subscript $j$ refers to the overlapped branch.

Overlapped member effective weld properties (all dimensions are for the overlapped branch, j)

l_{e, j}=\frac{2 H_{b j}}{\sin \theta_{j}}+2 B_{e j}

(K5-13)

B_{e j}=\frac{10}{B / t}\left(\frac{F_{y} t}{F_{y b j} t_{b j}}\right) B_{b j} \leq B_{b j}

(K5-14)

When $B_{b j} / B>0.85$ or $\theta_{i}>50^{\circ}$

$l_{e, j}=2\left(H_{b j}-1.2 t_{b j}\right) / \sin \theta_{j} \quad \text { (K5-15) }$

Effective Weld Properties for Connections to Round HSS TABLE K5.2 Effective Weld Properties for

Figure description:

Effective Weld Properties for Connections to Round HSS

TABLE K5.2 Effective Weld Properties for Connections to Round HSS

Annotations

Not present for T- or Y-connections (text_label - position: Referring to the bottom branch of the cross-connection diagram)
Section A-A: Effective weld (text_label - position: Label for the bottom-left diagram showing the arc of effective weld)
l_e/2 (text_label - position: Arc angle label in Section A-A diagram)
D_b, t_b (text_label - position: Dimensions of the branch cross-section)
D, t (text_label - position: Dimensions of the chord cross-section)

Connection Type	Weld Properties
T-, Y-, and cross-connections under branch axial load	Effective weld properties When 0.1 ≤ ̢ ≤ 0.5, 60° ≤ θ ≤ 90°, and 10 ≤ D/t ≤ 50 $l_e = \frac{4}{\sqrt{2\beta(D/t}} l_w \le l_w$ (K5-16 where $l_w$ is the total weld length around the branch. This may be obtained from 3D models of intersection cylinders, or from $l_w = \pi D_b \frac{1 + 1/\sin\theta}{2}$ (K5-17)))

Notes: The table provides design formulas for determining the effective weld length (l_e and total weld length (l_w for various HSS connections based on geometric parameters and loading conditions.))

Table K5.1: (continued)

Connection Type Weld Properties

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