简支梁跨中弯曲应力计算器
利用 σ = (F × L) / (4 × S) 计算简支梁跨中最大弯曲正应力、跨中集中力、跨度或抗弯截面模量。
Maximum outer-fiber tensile/compressive stress in Megapascals
Concentrated center load in Newtons
Distance between pin and roller supports in meters
Section modulus S = I / c in cm³ (1 cm³ = 10⁻⁶ m³)
分步代入计算过程
For a simply supported beam of span L carrying a central point load F, the peak midspan bending moment M = FL/4 divided by the elastic section modulus S yields maximum outer-fiber flexural stress σ = (F × L) / (4 × S).
常见参考标准值
ASD 0.60 F_y safety factor design limit
Modern structural I-beam grade
Aerospace and marine structural alloy
20 行数值对照表
Peak Bending Stress (MPa) (σ (MPa)) · Midspan Point Load (F)
| # | Midspan Point Load (N) | Peak Bending Stress (MPa) (σ (MPa)) | Δ % |
|---|---|---|---|
| 01 | 10 N | 0.05 | -99.96% |
| 02 | 25,000.00 N当前 | 125 | 0.00% |
| 03 | 75,008.80 N | 375.044 | +200.04% |
| 04 | 112,508.20 N | 562.541 | +350.03% |
| 05 | 150,007.61 N | 750.038 | +500.03% |
| 06 | 187,507.01 N | 937.535 | +650.03% |
| 07 | 225,006.41 N | 1,125.03 | +800.03% |
| 08 | 262,505.81 N | 1,312.53 | +950.02% |
| 09 | 300,005.21 N | 1,500.03 | +1100.02% |
| 10 | 337,504.61 N | 1,687.52 | +1250.02% |
| 11 | 375,004.01 N | 1,875.02 | +1400.02% |
| 12 | 412,503.41 N | 2,062.52 | +1550.01% |
| 13 | 450,002.82 N | 2,250.01 | +1700.01% |
| 14 | 487,502.22 N | 2,437.51 | +1850.01% |
| 15 | 525,001.62 N | 2,625.01 | +2000.01% |
| 16 | 562,501.02 N | 2,812.51 | +2150.00% |
| 17 | 600,000.42 N | 3,000.00 | +2300.00% |
| 18 | 637,499.82 N | 3,187.50 | +2450.00% |
| 19 | 674,999.22 N | 3,375.00 | +2600.00% |
| 20 | 712,498.63 N | 3,562.49 | +2749.99% |
常见问题解答 (FAQ)
如何使用在线 简支梁跨中弯曲应力计算器 工具？+
输入已知参数或拖动滑块，即可在浏览器中实时计算并可视化 简支梁跨中弯曲应力计算器（基于关系式 σ (MPa) = (F × L) / (4 × S)）。利用 σ = (F × L) / (4 × S) 计算简支梁跨中最大弯曲正应力、跨中集中力、跨度或抗弯截面模量。
可以导出或打印 简支梁跨中弯曲应力计算器 的结果吗？+
可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。
我可以清空 简支梁跨中弯曲应力计算器 中的示例数据并从空白状态开始吗？+
可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项，随时也可一键重新加载示例数据。