03 // 双向 STEM 与金融计算器 // 流体、结构与电气工程计算器ΔL (mm) = (F × L₀) / (A × E)

杨氏模量轴向应力、应变与伸长量计算器

利用 ΔL = (F × L₀) / (A × E) 求解杆件弹性伸长量、拉压载荷、原长、横截面积或杨氏模量。

ΔL (mm) = (F × L₀) / (A × E)
选择要计算的未知量(或直接在任意输入框中输入数值):当前求解: ΔL (mm) — Axial Elastic Elongation (mm)
计算结果

Stretch or compression in millimeters

0.001500
unit

Applied axial force in Newtons (switch to kN)

1010,000,000.00

Unstressed length in meters

0.05100

Load-bearing area in square millimeters

1100,000.00
unit

Modulus of elasticity in Gigapascals (1 GPa = 1000 N/mm²)

0.51,000.00
unit
计算结果 · Axial Elastic Elongation (mm) (ΔL (mm))
1.5

分步代入计算过程

01Canonical Law: ΔL (mm) = (F × L₀) / (A × E)
02Given Inputs (Base Units): F = 60,000 N, L₀ = 2.5 m, A (mm²) = 500, E (GPa) = 200
03Solve for ΔL (mm) (Axial Elastic Elongation (mm)): ΔL (mm) = 1.5

Hooke's Law for uniaxial elastic solids states that axial elongation ΔL of a prismatic member equals the product of axial force F and initial length L₀ divided by cross-sectional area A and Young's Modulus E.

常见参考标准值

Structural Steel / StainlessE = 193 – 205 GPa

1 GPa = 1 kN/mm² = 1,000 MPa

Titanium Ti-6Al-4V / BrassE = 114 GPa / 105 GPa

High strength-to-weight aerospace alloys

Carbon Fiber Unidirectional CFRPE = 135 – 230 GPa

Along fiber orientation axis

20 行数值对照表

Axial Elastic Elongation (mm) (ΔL (mm)) · Axial Tensile/Compressive Load (F)

Young's Modulus Axial Stress, Strain & Elongation Calculator — Axial Tensile/Compressive Load → Axial Elastic Elongation (mm)
#Axial Tensile/Compressive Load (N)Axial Elastic Elongation (mm) (ΔL (mm))Δ %
0110 N0.00025 -99.98%
0260,000.00 N当前1.5 0.00%
03151,061.43 N3.7765 +151.77%
04226,587.15 N5.6647 +277.65%
05302,112.87 N7.5528 +403.52%
06377,638.59 N9.441 +529.40%
07453,164.30 N11.3291 +655.27%
08528,690.02 N13.2173 +781.15%
09604,215.74 N15.1054 +907.03%
10679,741.45 N16.9935 +1032.90%
11755,267.17 N18.8817 +1158.78%
12830,792.89 N20.7698 +1284.65%
13906,318.61 N22.658 +1410.53%
14981,844.32 N24.5461 +1536.41%
151,057,370.04 N26.4343 +1662.28%
161,132,895.76 N28.3224 +1788.16%
171,208,421.47 N30.2105 +1914.04%
181,283,947.19 N32.0987 +2039.91%
191,359,472.91 N33.9868 +2165.79%
201,434,998.63 N35.875 +2291.66%
这个工具对您有帮助吗?

常见问题解答 (FAQ)

如何使用在线 杨氏模量轴向应力、应变与伸长量计算器 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 杨氏模量轴向应力、应变与伸长量计算器(基于关系式 ΔL (mm) = (F × L₀) / (A × E))。利用 ΔL = (F × L₀) / (A × E) 求解杆件弹性伸长量、拉压载荷、原长、横截面积或杨氏模量。

可以导出或打印 杨氏模量轴向应力、应变与伸长量计算器 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 杨氏模量轴向应力、应变与伸长量计算器 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。