高强螺栓连接计算---Here is the extracted content from the image:
**Question Stem:**
【例 9.2-3】如图 9.2-25 所示高强度螺栓连接的双拼接板拼接,承受轴心力设计值 N=600kN,钢板截面 340mm×12mm,钢材为 Q235 钢,螺栓直径 d=20mm,孔径 d₀=21.5mm。采用 10.9 级的 M22 高强度螺栓,连接处构件接触面用钢丝刷清理浮锈。计算连接一侧所需螺栓个数,并验算构件截面强度。
**Chart/Diagram Description:**
* **Type:** Engineering drawing / Structural connection detail diagram, showing both a top view and a side view (cross-section) of a double-splice plate high-strength bolted connection.
* **Title:** 图 9.2.25 双拼接板连接示意图 (Figure 9.2.25 Schematic Diagram of Double-Splice Plate Connection)
* **Main Elements - Top View:**
* Shows a central main plate connected to two outer cover plates by high-strength bolts.
* **Bolt Arrangement:** Bolts are arranged in three rows, labeled I, II, and III. Each row contains 3 bolts. The layout is symmetrical about the vertical centerline of the plate.
* **Dimensions (in mm):**
* Overall width of the main plate: 400.
* Horizontal spacing between bolt rows (from left edge to bolt center, then between bolt centers): 50, 70, 70, 50.
* Vertical spacing between bolt centers: 50, 100, 50.
* **Labels:** Axial force 'N' is indicated by arrows on both ends of the main plate, pointing outwards. Bolts are labeled 'M20'.
* **Main Elements - Side View (Cross-section):**
* Shows the three stacked plates: a central plate with a thickness of 14 mm, and two outer plates (one on top, one on bottom) each with a thickness of 7 mm.
* Bolts pass through all three plates.
* **Dimensions (in mm):**
* Total length of the bolted connection section: 490.
* A dimension of '10' is indicated below the central plate, its specific reference point is not explicitly clear from this view alone.
* **General Notes:** The diagram illustrates the configuration of the bolted connection, bolt layout, and key dimensions.
**Solution/Explanation:**
**解 (Solution):**
**(1) 采用摩擦型高强度螺栓,计算一个螺栓的抗剪承载力设计值。**
* **Formula:** Nᵥᵇ = 0.9n_fμP
* **Calculation:** Nᵥᵇ = 0.9 × 2 × 0.3 × 190 = 102.6 kN
**连接一侧所需螺栓数**
* **Formula:** n = N / Nᵥᵇ
* **Calculation:** n = 600 / 102.6 = 5.84
* **Result:** 取 n=6。 (Take n=6.)
**(2) 构件净截面强度验算。**
* **Formula:** N' = N (1 - 0.5n₁/n)
* **Calculation:** N' = 600 × (1 - 0.5 × 3/6) = 450 kN
* **Formula:** σ = N' / A_n
* **Calculation:** σ = 450000 / (340 × 12 - 3 × 23.5 × 12) = 139.1 MPa < 215 MPa
* **Conclusion:** 钢板第一列螺栓孔处的截面最危险。(The cross-section at the first row of bolt holes of the steel plate is the most critical.)