🏗️ 结构工程工具

🏗️ 回转半径（r = √(I / A)）Radius of Gyration 输入截面对某轴的惯性矩 I 与截面积 A，计算回转半径 r=√(I/A)，反映截面面积分布离形心的远近程度，用于压杆稳定计算中长细比的求解。Radius of Gyration - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🏗️ 基底压力（p = N / A）Bearing Pressure 基底平均压力计算器：输入竖向荷载 N 与基础底面积 A，按 p = N/A 求基础底面平均接触压应力，用于地基承载力验算。Bearing Pressure - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🏗️ 惯性矩（I = b·h³ / 12）Moment of Inertia Rect 矩形截面惯性矩计算器：输入宽 b 与高 h，按 I = bh³/12 求矩形截面绕中性轴的惯性矩，用于梁抗弯计算。Moment of Inertia Rect - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering... 🏗️ 截面模量（W = b·h² / 6）Section Modulus Rect 输入矩形截面宽度 b 与高度 h，按 W=b·h²/6 计算抗弯截面模量，用于梁在弯矩 M 作用下弯曲正应力 σ=M/W 的快速校核，是截面抗弯能力的关键参数。Section Modulus Rect - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering t... 🏗️ 支座剪力（V = P / 2）Beam Shear Center 输入简支梁跨中集中力 P，计算两端支座的反力与剪力，跨中单点荷载时两支座各承担 P/2，输出支座剪力 V=P/2，用于简支梁在跨中荷载下的支座受力分析。Beam Shear Center - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🏗️ 最大剪应力（τ_max = 1.5·V / A）Beam Shear Stress 输入矩形截面梁所受剪力 V 与截面宽度 b、高度 h，计算平均剪应力并按 τ_max=1.5·V/A 求中性轴处最大剪应力，用于矩形梁抗剪强度校核。Beam Shear Stress - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🏗️ 最大应力（σ_max = K_t · σ_nom）Stress Concentration 应力集中计算器：输入名义应力 σ_nom 与理论应力集中系数 K_t，按 σ_max = K_t·σ_nom 求孔、缺口等几何不连续处的最大应力。Stress Concentration - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering t... 🏗️ 最大弯矩（M_max = w·L² / 8）Ss Udl Moment 简支梁均布荷载弯矩计算器：输入均布荷载 w 与跨度 L，按 M_max = wL²/8 求跨中最大弯矩，用于梁配筋与截面设计。Ss Udl Moment - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🏗️ 极惯性矩（J = π·d⁴ / 32）Torsion Polar J 圆截面极惯性矩计算器：输入圆截面直径 d，按 J = πd⁴/32 求抗扭几何参数极惯性矩，用于圆轴扭转计算。Torsion Polar J - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🏗️ 欧拉临界（P_cr = π²·E·I / L²）Euler Buckling 欧拉临界载荷计算器：输入弹性模量 E、截面惯性矩 I 与计算长度 L，按 P_cr = π²EI/L² 求两端铰支压杆屈曲临界载荷。Euler Buckling - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. ↕️ 由伸长量与原长求应变Axial Strain 输入杆件受力后的伸长量 ΔL 与原始长度 L，计算轴向线应变 ε=ΔL/L，衡量材料在拉压下的相对变形大小，结果无量纲，常用于材料力学变形分析。Axial Strain - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🛢️ 由内压求环向（周向）应力Hoop Stress 输入薄壁圆筒的内压 p、半径 r 与壁厚 t，按 σ_h=p·r/t 计算环向（周向）应力，用于承压管道、容器在内部压力下的周向强度校核。Hoop Stress - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🛢️ 由内压求纵向应力Longitudinal Stress 输入薄壁圆筒内压 p、半径 r 与壁厚 t，按 σ_l=p·r/(2t) 计算纵向应力，用于封闭承压容器在内部压力下的轴向强度校核，数值恰为环向应力的一半。Longitudinal Stress - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering to... 📉 由均布载荷求悬臂梁自由端挠度Deflection Cantilever Udl 输入均布载荷 w、梁长 L、弹性模量 E 与圆截面直径 d，按 δ=wL⁴/(8EI) 求悬臂梁自由端挠度。Deflection Cantilever Udl - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineer... 🛡️ 由平面应力状态求等效应力Von Mises 2d 输入平面应力 σx、σy 与剪应力 τ，按等效应力公式求冯·米塞斯应力，用于构件强度校核。Von Mises 2d - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🔀 由弹性模量与泊松比求剪切模量Shear Modulus 输入材料弹性模量 E 与泊松比 ν，按 G=E/[2(1+ν)] 计算剪切模量 G，用于已知拉伸性能时换算材料的抗剪刚度，常见于各向同性材料的力学参数换算。Shear Modulus - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🔄 由扭矩、长度与刚度求扭转角Angle of Twist 输入圆轴所受扭矩 T、轴段长度 L、剪切模量 G 与直径 d，计算极惯性矩 J 与扭转角 θ=T·L/(G·J)，用于轴类零件在扭矩作用下的扭转变形校核。Angle of Twist - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🔄 由扭矩与直径求轴表面剪应力Torsional Shear Shaft 输入圆轴扭矩 T 与直径 d，按极惯性矩 J=πd⁴/32 计算轴表面最大剪应力 τ=T·r/J，用于传动轴、转轴在扭矩作用下的抗剪强度校核与尺寸设计。Torsional Shear Shaft - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering ... ⭕ 由直径求圆截面抗弯模量Section Modulus Circle 圆截面抗弯模量计算器：输入圆截面直径 d，按 S = πd³/32 求抗弯截面模量，用于圆轴弯曲应力校核。Section Modulus Circle - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering... ⭕ 由直径求实心圆截面惯性矩Moment of Inertia Circle 圆截面惯性矩计算器：输入圆截面直径 d，按 I = πd⁴/64 求绕中性轴的截面惯性矩，用于圆轴弯曲与稳定性计算。Moment of Inertia Circle - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineeri... ⭕ 由直径求实心圆截面极惯性矩Polar Moment Circle 圆截面极惯性矩计算器：输入圆截面直径 d，按 J = πd⁴/32 求极惯性矩，用于圆轴扭转刚度与强度计算。Polar Moment Circle - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering to... 📉 由端点集中力求悬臂梁挠度Deflection Cantilever Point 输入端点力 F、梁长 L、弹性模量 E 与圆截面直径 d，按 δ=FL³/(3EI) 求悬臂梁端点挠度。Deflection Cantilever Point - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engine... 🌡️ 由线膨胀系数与温差求热应变Thermal Strain 输入材料的线膨胀系数 α 与温度变化量 ΔT，计算热应变 ε=α·ΔT，衡量构件因升温或降温产生的相对伸长或缩短，用于温度变化下的变形与应力预估。Thermal Strain - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. ⬇️ 由轴力与截面积求正应力Axial Stress 输入杆件所受轴向力 F 与横截面积 A，计算正应力 σ=F/A，判断拉压杆件截面上的平均受力大小，用于结构构件的强度校核与选材。Axial Stress - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🏗️ 端部弯矩（M = F·L）Cantilever End Moment 输入悬臂梁自由端集中力 F 与梁长 L，计算固定端处的最大弯矩 M=F·L，用于悬臂结构在端部荷载下固定支座的弯曲受力分析与配筋参考。Cantilever End Moment - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering ... 🏗️ 许用应力（σ_allow = σ_yield / n）Allowable Stress 许用应力计算器：输入材料屈服强度与安全系数，按 σ_allow = σ_yield / n 确定许用应力，用于结构构件强度校核。Allowable Stress - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools. 🏗️ 跨中挠度（δ = P·L³ / (48·E·I)）Ss Point Deflection 简支梁集中力挠度计算器：输入集中力 P、跨度 L、弹性模量 E 与惯性矩 I，按 δ = PL³/(48EI) 求跨度中点的挠度。Ss Point Deflection - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering to... 🏗️ 长细比（λ = L / r）Slenderness Ratio 压杆长细比计算器：输入计算长度 L 与回转半径 r，按 λ = L/r 求长细比，长细比越大越易失稳，用于压杆稳定分类。Slenderness Ratio - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Structural Engineering tools.