Shear Force & Bending Moment Calculator | Free Online SFD & BMD Tool
This free Shear Force and Bending Moment Calculator instantly computes support reactions, Shear Force Diagrams (SFD), and Bending Moment Diagrams (BMD) for simply supported and cantilever beams.
Simply enter your beam length and add any combination of point loads, uniformly distributed loads (UDL), varying loads (UVL), or applied moments. The tool instantly generates accurate diagrams, critical values (max shear & moment), zero shear points, contraflexure locations, and a complete step-by-step solution.
Perfect for civil & structural engineering students and professionals. Works in both Metric (kN, m) and Imperial (kip, ft) units. No installation required — fully online.
Shear Force & Bending Moment Calculator
Instantly compute support reactions, shear force diagrams (SFD), and bending moment diagrams (BMD) for beams under any combination of loads. Step-by-step solutions included.
1. Beam Configuration
⌄E and I are used only for deflection calculation. Default values = W200x100 steel section.
2. Applied Loads
⌄⚠ All positions measured from the left end of beam. Max position = beam length.
Beam Free Body Diagram
⌄Reactions & Critical Values
⌄| Parameter | Value | Location from A | Significance |
|---|
Step-by-Step Solution
⌄Formulas & Theory
⌄Static Equilibrium (Reactions)
\[\sum F_y = 0, \quad \sum M_A = 0\]
For simply supported beam: \[R_B = \frac{\sum (P_i \cdot x_i) + \sum \frac{w(b^2 - a^2)}{2}}{L}\] \[R_A = \sum P_i + \sum w(b - a) - R_B\]
Shear Force & Bending Moment Relations
\[\frac{dV}{dx} = -w(x)\]
\[\frac{dM}{dx} = V(x)\]
Maximum moment occurs where \(V = 0\).
Shear Force at Section x
\[V(x) = R_A - \sum_{x_i \le x} P_i - \int_0^x w(\xi)\,d\xi\]
For UDL from \(a\) to \(b\): \[V_{UDL}(x) = -w \cdot \min(x, b) + w \cdot a\] when \(x > a\)
Bending Moment at Section x
\[M(x) = R_A \cdot x - \sum_{x_i \le x} P_i(x - x_i) - \sum_{a < x} \frac{w(x - a)^2}{2}\]
Bending Stress
\[\sigma_{max} = \frac{M_{max} \cdot c}{I} = \frac{M_{max}}{S}\]
where \(S = I/c\) is the section modulus, \(c\) = distance from neutral axis to extreme fiber.
Shear Stress (Rectangular Section)
\[\tau_{max} = \frac{3V}{2A}\]
General: \[\tau = \frac{V \cdot Q}{I \cdot b}\] where \(Q\) = first moment of area, \(b\) = width at the section.
Deflection (Euler-Bernoulli Beam)
\[EI\frac{d^2y}{dx^2} = M(x)\]
Simply supported (center point load): \[\delta_{max} = \frac{PL^3}{48EI}\]
Cantilever (end point load): \[\delta_{max} = \frac{PL^3}{3EI}\]
UVL (Triangular Load) Reactions
Load varies from \(w_1\) at \(x = a\) to \(w_2\) at \(x = b\):
\[F_{total} = \frac{(w_1 + w_2)}{2}(b - a)\]
\[x_c = a + \frac{(b-a)(2w_2 + w_1)}{3(w_1 + w_2)}\]
Standard Cases Quick Reference
| Beam Type | Load | Mmax | Location | \(\delta_{max}\) |
|---|---|---|---|---|
| Simply Supported | Central Point Load P | \(PL/4\) | Midspan | \(PL^3/48EI\) |
| Simply Supported | Full UDL w | \(wL^2/8\) | Midspan | \(5wL^4/384EI\) |
| Simply Supported | Point Load P at a | \(Pab/L\) | x = a | \(Pb(L^2-b^2)^{3/2}/9\sqrt{3}EIL\) |
| Cantilever | End Point Load P | \(PL\) (at wall) | x = 0 | \(PL^3/3EI\) |
| Cantilever | Full UDL w | \(wL^2/2\) (at wall) | x = 0 | \(wL^4/8EI\) |
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Shear Force & Bending Moment Calculator —
Step-by-Step Guide, Formulas & Examples
A comprehensive walkthrough for using our free online beam analysis tool. Learn how to calculate shear force, bending moment, support reactions, and deflection with clear formulas, worked examples, and structural engineering solutions — no software license required.
What Is a Shear Force & Bending Moment Calculator?
A Shear Force and Bending Moment (SF&BM) Calculator is a structural analysis tool that automates the most tedious part of beam mechanics — computing internal forces at every cross-section of a loaded beam. Whether you are a civil engineer verifying a floor joist, a mechanical engineering student solving homework problems, or a designer checking a ship frame or crane boom, this free online solver replaces hours of manual calculation with instant, accurate diagrams and step-by-step solutions.
At its core, the tool solves two fundamental relationships from static equilibrium and beam mechanics:
- The Shear Force V(x) — the net vertical force acting on any cross-section along the beam length.
- The Bending Moment M(x) — the internal moment at that section, which governs flexural strength and deflection.
Scope: What This Tool Handles
| Beam Type | Load Types | Outputs | Use Case |
|---|---|---|---|
| Simply Supported | Point load, UDL, UVL, Applied moment | Reactions RA, RB · SFD · BMD · Max V & M | Floor beams, bridge girders, spanning members |
| Cantilever (Fixed-Free) | Point load, UDL, UVL, Applied moment | Wall reaction RA, Fixed moment MA · SFD · BMD | Balconies, retaining walls, crane booms, brackets |
| Both types | Multiple simultaneous loads | Zero-shear locations · Contraflexure points · Step-by-step solution | Combined load analysis, structural reports |
Key User Pain Points — And How This Calculator Solves Them
Structural beam analysis using hand calculations is notoriously error-prone and time-consuming. Here are the most common challenges engineers and students face — and how this tool addresses each one:
Slow Manual Calculation
Drawing shear and moment diagrams by hand for a beam with multiple point loads, a uniformly distributed load (UDL), and an applied moment requires integrating piecewise functions across every segment — often taking 45–90 minutes per beam.
Sign Convention Confusion
Mixing up positive/negative shear or sagging/hogging moment conventions leads to mirror-image diagrams and completely wrong failure predictions. This is the #1 source of errors in student submissions.
Iterative Design "What-If" Scenarios
Moving a concentrated load 200 mm to the left requires completely restarting all equilibrium equations. This makes iterative structural design impractical by hand — especially when using the moment distribution method for continuous beams.
Multiple Simultaneous Load Types
Real beams carry combinations of concentrated loads, uniformly distributed loads, varying (trapezoidal) loads, and applied moments simultaneously. Superposing these manually without software is error-prone and difficult to verify.
Poor Visualization Without Diagrams
Without a shear force diagram (SFD) and bending moment diagram (BMD), it is impossible to "see" where the maximum moment occurs — leading to poor decisions such as placing a bolt hole at the point of maximum flexural stress.
Different Support Conditions Change Everything
A simply supported beam and a cantilever beam use entirely different equilibrium equations and produce completely different moment distributions — making knowledge transfer between beam types difficult without deep structural mechanics understanding.
Unit Conversion Errors
Mixing kN with N, or metres with millimetres, introduces scale errors that are hard to catch. A load entered as 5 kN but treated as 5 N produces results off by a factor of 1000.
Students Struggle to Verify Exam Work
Without a step-by-step breakdown, students cannot identify where their manual calculation diverged from the correct solution — preventing effective learning and improvement.
Understanding Beam Diagrams — Visual Reference Guide
The diagrams below illustrate the anatomy of a typical simply supported beam under a central concentrated load and a partial UDL — the two most common load configurations in structural analysis and mechanical engineering. Study these visuals before entering your data into the calculator.
Sign Convention Used in This Calculator
How to Use the Calculator — Complete Step-by-Step Guide
Configure Beam Geometry and Type
In the Beam Configuration panel, set the following inputs before adding any loads:
- Beam Type: Select Simply Supported (pin at left end, roller at right end) or Cantilever (fixed wall at left end, free at right end). This selection changes the reaction formula entirely.
- Beam Length (L): Enter the total span in your chosen unit. For example, enter
6for a 6-metre beam using the Metric system, or20for a 20-foot beam in Imperial. - Unit System: Choose Metric (kN, m) or Imperial (kip, ft). All inputs and outputs will use this system. Do not mix units.
- Young’s Modulus E and Moment of Inertia I (optional): Required only if you need deflection values. Default values correspond to a standard steel W200×100 section (E = 200 GPa, I = 8560 cm⁴). Change these if your beam is aluminium, timber, concrete, or a custom section.
⚠ Common mistake: Selecting Cantilever when your beam actually has two supports. A cantilever has ONE fixed support (wall) and the other end is completely free — it has no roller. If both ends are supported, use Simply Supported.
Add Your Loads Using the Load Panel
Click + ADD LOAD to add one load card. Repeat for each additional load. The calculator accepts unlimited simultaneous loads. For each load, select the load type and fill in its parameters:
- Point Load (Concentrated Force P): Enter magnitude in kN (or kip). Enter position
xmeasured from the left end of the beam. Example: a 10 kN load at midspan of a 6 m beam is entered as P =10, x =3. - UDL — Uniformly Distributed Load (w): Enter load intensity in kN/m (or kip/ft). Enter start and end positions from the left end. For a full-span UDL of 5 kN/m on a 6 m beam: w =
5, start =0, end =6. - UVL — Uniformly Varying / Trapezoidal Load: Enter intensity at the start position and intensity at the end position. For a triangular load (zero at A, 8 kN/m at B): w₁ =
0, w₂ =8. - Applied Moment (Couple): Enter magnitude in kN·m (or kip·ft), position from the left end, and direction (clockwise or counter-clockwise). The direction sign convention follows standard structural mechanics.
⚠ Common mistake: Entering positions greater than beam length. The calculator will flag this. All load positions must satisfy 0 ≤ x ≤ L. For UDL, start position must be strictly less than end position.
⚠ Common mistake: Entering distributed load intensity in kN (total force) rather than kN/m (force per unit length). A 5 kN total load spread over 2 m is entered as w = 2.5 kN/m, NOT as 5 kN.
Review Inputs, Then Click Calculate
Before clicking the CALCULATE button, do a quick sanity check:
- Confirm beam length and unit system are correct.
- Confirm all load positions are within the beam span.
- For UDLs, confirm start < end (not the reverse).
- Confirm you have selected the correct beam type (simply supported vs. cantilever).
Click the orange CALCULATE SHEAR FORCE & BENDING MOMENT button. If any inputs are invalid, a red error message will appear with a specific description of what to fix.
ⓘ The calculation engine evaluates V(x) and M(x) at 2000 equally spaced points across the beam length. Results are instantaneous.
Read the Reactions & Critical Values Panel
After calculation, the Reactions & Critical Values panel appears first, showing:
- RA — Vertical reaction at the left support (upward force from pin or wall).
- RB — Vertical reaction at the right support (upward force from roller). For cantilever, this shows the fixed-end moment MA instead.
- Vmax — Maximum positive shear force and the x-position where it occurs.
- Vmin — Maximum negative shear force (hogging) and its location.
- Mmax — Maximum bending moment and location. This is the governing value for selecting beam cross-section and checking flexural strength.
- Zero shear points — Locations where V = 0. The bending moment is always at a local maximum at these points.
- Contraflexure points — Locations where M = 0 (the moment diagram crosses zero). Critical for continuous beams and reinforcement detailing.
ⓘ Use Mmax and the beam’s section modulus S to compute maximum bending stress: σ = Mmax / S. Compare with the material’s yield strength to verify structural safety.
Interpret the SFD and BMD Diagrams
The Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) are plotted on interactive canvas charts below the summary table:
- SFD: Blue filled regions = positive shear; red filled regions = negative shear. Steps (vertical drops) appear at point load locations. Sloping lines appear under UDL regions (slope = −w). The x-axis shows beam length; y-axis shows shear force in kN (or kip). Maximum and minimum values are annotated directly on the chart.
- BMD: Green filled regions = sagging (positive, tension at bottom); the diagram is parabolic under UDL regions and linear between point loads. For a simply supported beam with no applied moment, M = 0 at both ends. For a cantilever, M = −MA (maximum) at the fixed end and M = 0 at the free end.
⚠ Common interpretation mistake: The BMD peak does NOT always occur at midspan. It occurs at the zero-shear location, which depends on load distribution. Always read the x-coordinate shown in the summary table, not the visual midpoint of the curve.
Review the Step-by-Step Solution
Expand the Step-by-Step Solution panel to see the full derivation, including:
- All input loads listed with magnitudes and positions.
- Equilibrium equations (ΣFy = 0, ΣMA = 0) with numerical substitutions.
- Reaction calculations showing the exact arithmetic.
- V(x) piecewise expressions and key values.
- M(x) values at critical locations.
- Verification check and design notes.
This step-by-step solution is ideal for exam preparation, teaching structural mechanics, and engineering report documentation.
Formulas Used for Results Calculation — Full Reference
Every result produced by this structural analysis tool is derived from the following closed-form structural mechanics formulas. All equations follow the Euler-Bernoulli beam theory and standard static equilibrium principles used in civil and mechanical engineering.
① Static Equilibrium (Reactions)
\[\sum F_y = 0 \quad \Rightarrow \quad R_A + R_B = \sum P_i + \int w(x)\,dx\] \[\sum M_A = 0 \quad \Rightarrow \quad R_B = \frac{\displaystyle\sum P_i \cdot x_i + \sum \frac{w(b^2 - a^2)}{2} + \sum M_j^{\pm}}{L}\]② Cantilever Reactions (Fixed-Free Beam)
\[R_A = \sum P_i + \int_0^L w(x)\,dx \quad \text{(upward wall reaction)}\] \[M_A = \sum P_i \cdot x_i + \int_0^L w(x) \cdot x\,dx \quad \text{(wall moment)}\]③ Shear Force V(x) — Integration Method
\[V(x) = R_A - \sum_{x_i \leq x} P_i - \int_0^x w(\xi)\,d\xi\]For UDL of intensity w from a to b:
\[V_{UDL}(x) = -w \cdot \left[\min(x, b) - a\right], \quad x > a\]The fundamental governing differential relationship:
\[\frac{dV}{dx} = -w(x)\]④ Bending Moment M(x) — Integration Method
\[M(x) = R_A \cdot x - \sum_{x_i \leq x} P_i (x - x_i) - \int_0^x w(\xi) \cdot (x - \xi) \, d\xi\]For UDL of intensity w from a to b:
\[M_{UDL}(x) = -\frac{w}{2} \cdot \left[\min(x, b) - a\right]^2, \quad x > a\]The fundamental governing differential relationship:
\[\frac{dM}{dx} = V(x) \quad \Rightarrow \quad M(x) = M_0 + \int_0^x V(\xi)\,d\xi\]⑤ UVL (Trapezoidal/Triangular Load) Reactions
For load varying linearly from w₁ (at x = a) to w₂ (at x = b):
\[F_{total} = \frac{(w_1 + w_2)}{2} \cdot (b - a)\] \[x_c = a + \frac{(b - a)(2w_2 + w_1)}{3(w_1 + w_2)}\]Shear contribution at position x:
\[V_{UVL}(x) = -w_1 d - \frac{(w_2 - w_1)}{D} \cdot \frac{d^2}{2}, \quad d = \min(x,b) - a\]⑥ Location of Maximum Bending Moment
\[V(x_c) = 0 \quad \Rightarrow \quad \text{solve for } x_c\]For simply supported beam, single point load P at distance a from A:
\[M_{max} = \frac{P \cdot a \cdot b}{L}, \quad b = L - a\]For full-span UDL w:
\[M_{max} = \frac{wL^2}{8} \quad \text{at } x = \frac{L}{2}\]⑦ Bending Stress (Flexural Stress)
\[\sigma_{max} = \frac{M_{max} \cdot c}{I} = \frac{M_{max}}{S}\]Where:
- c = distance from neutral axis to extreme fibre (mm or in)
- I = second moment of area (moment of inertia) of cross-section (cm⁴ or in⁴)
- S = I/c = section modulus (cm³ or in³)
⑧ Shear Stress
General (any cross-section):
\[\tau = \frac{V \cdot Q}{I \cdot b}\]Rectangular cross-section (maximum at neutral axis):
\[\tau_{max} = \frac{3V}{2A} = \frac{3V}{2bh}\]Where Q = first moment of area above the section, b = width at the point of interest.
⑨ Deflection — Euler-Bernoulli Equation
\[EI \frac{d^2 y}{dx^2} = M(x)\] \[EI \frac{dy}{dx} = \int M(x)\,dx + C_1 \quad \text{(slope)}\] \[EI \cdot y = \iint M(x)\,dx^2 + C_1 x + C_2 \quad \text{(deflection)}\]Common results:
\[\delta_{max}^{SS,center} = \frac{PL^3}{48EI}, \quad \delta_{max}^{SS,UDL} = \frac{5wL^4}{384EI}\] \[\delta_{max}^{cant,end} = \frac{PL^3}{3EI}, \quad \delta_{max}^{cant,UDL} = \frac{wL^4}{8EI}\]⑩ Serviceability Deflection Limit Check
\[\delta_{max} \leq \frac{L}{\Delta_{allow}}\]Common allowable deflection ratios:
- General floor beams: L/360
- Roof beams: L/240
- Crane girders: L/600
- Cantilevers (tip): L/180
Quick-Reference Formula Table
| Quantity | Formula | Unit (Metric) | Where Mmax Occurs |
|---|---|---|---|
| Reaction RA — SS, central P | RA = P/2 | kN | — |
| Reaction RB — SS, central P | RB = P/2 | kN | — |
| Mmax — SS, central P | PL / 4 | kN·m | x = L/2 (midspan) |
| Mmax — SS, full UDL w | wL² / 8 | kN·m | x = L/2 (midspan) |
| Mmax — SS, point load P at a | Pab / L (b = L−a) | kN·m | x = a |
| MA — Cantilever, end load P | P × L | kN·m | x = 0 (wall) |
| MA — Cantilever, full UDL w | wL² / 2 | kN·m | x = 0 (wall) |
| δmax — SS, central P | PL³ / (48EI) | mm | x = L/2 |
| δmax — SS, full UDL w | 5wL⁴ / (384EI) | mm | x = L/2 |
| δmax — Cantilever, end P | PL³ / (3EI) | mm | x = L (free end) |
| δmax — Cantilever, full UDL w | wL⁴ / (8EI) | mm | x = L (free end) |
| Bending stress σ | Mmax / S = Mmax·c / I | MPa | At extreme fibre |
| Shear stress τ (rectangular) | 3V / (2A) | MPa | At neutral axis |
Worked Examples — How to Calculate SF & BM with Step-by-Step Solutions
These practical examples demonstrate how to use the beam solver for common structural engineering and mechanical engineering scenarios. Enter the values shown into the calculator to reproduce the results and verify your understanding.
Problem: A simply supported steel beam, span L = 8 m, carries a concentrated load P = 40 kN at midspan. Find reactions, Vmax, and Mmax.
Calculator Inputs:
- Beam Type: Simply Supported
- Length: 8 m (Metric)
- Load: Point Load, P = 40 kN, x = 4 m
Vmax = +20 kN (at x = 0)
Mmax = PL/4 = 40×8/4 = 80 kN·m at x = 4 m
SFD: rectangular steps ±20 kN
BMD: triangle peaking at midspan
Problem: A simply supported beam, L = 6 m, carries a uniformly distributed load w = 10 kN/m over the full length. Find reactions, Vmax, and Mmax.
Calculator Inputs:
- Beam Type: Simply Supported
- Length: 6 m
- Load: UDL, w = 10 kN/m, start = 0, end = 6
Vmax = +30 kN (at x = 0)
Mmax = wL²/8 = 10×36/8 = 45 kN·m at x = 3 m
SFD: linear from +30 to −30 kN
BMD: parabola, zero at both ends
Problem: A cantilever beam (crane boom), L = 4 m, carries P = 12 kN at the free end. Find wall reactions and Mmax.
Calculator Inputs:
- Beam Type: Cantilever
- Length: 4 m
- Load: Point Load, P = 12 kN, x = 4 m
MA = P×L = 12×4 = 48 kN·m (at wall, x = 0)
V: constant −12 kN along entire length
BMD: linear, max at wall, zero at free end
Problem: Simply supported beam, L = 10 m. UDL w = 5 kN/m over full span PLUS concentrated load P = 30 kN at x = 3 m from A.
Calculator Inputs:
- Load 1: UDL, w = 5 kN/m, start = 0, end = 10
- Load 2: Point Load, P = 30 kN, x = 3
RB = (5×10×5 + 30×3)/10 = 34 kN
RA = 80 − 34 = 46 kN
V = 0 at x ≈ 3.2 m → Mmax ≈ 105 kN·m
Input Parameters, Units, and Validation Rules
The table below summarizes every input accepted by the calculator, including valid units, allowable ranges, and common validation errors to watch out for.
| Parameter | Symbol | Metric Unit | Imperial Unit | Valid Range | Common Mistake |
|---|---|---|---|---|---|
| Beam Length | L | m | ft | > 0 | Entering length in mm when unit is m (e.g., 6000 instead of 6) |
| Point Load | P | kN | kip | Any non-zero value; positive = downward | Entering total UDL force as a point load |
| Load Position | x | m | ft | 0 ≤ x ≤ L | Measuring from the right end instead of the left end |
| UDL Intensity | w | kN/m | kip/ft | > 0; force per unit length | Entering total force (kN) instead of intensity (kN/m) |
| UDL Start | a | m | ft | 0 ≤ a < b ≤ L | Setting start = end (zero length UDL) |
| UDL End | b | m | ft | a < b ≤ L | End position beyond beam length |
| UVL Start Intensity | w₁ | kN/m | kip/ft | ≥ 0 | Swapping w₁ and w₂ (load direction reversed) |
| UVL End Intensity | w₂ | kN/m | kip/ft | ≥ 0 | Both w₁ = 0 and w₂ = 0 (zero load) |
| Applied Moment | M | kN·m | kip·ft | > 0 (direction set by CW/CCW toggle) | Forgetting to set CW vs CCW direction |
| Young’s Modulus | E | GPa | ksi | > 0 (200 GPa for steel) | Entering 200,000 MPa instead of 200 GPa |
| Moment of Inertia | I | cm⁴ | in⁴ | > 0 | Using mm⁴ values (off by 10⁸ factor) |
Unit Quick-Reference Badges
Common Mistakes in SF & BM Calculation — And How to Avoid Them
A beam with one fixed end and one pin support is statically indeterminate (propped cantilever) — it cannot be solved with ΣF = 0 and ΣM = 0 alone. This calculator handles simply supported (pin+roller) and cantilever (fixed+free) only. For fixed-pinned beams, use the three-moment equation or moment distribution method.
Zero shear → maximum or minimum bending moment. Zero moment → contraflexure point. These are completely different things. Confusing them leads to placing beam splices at the wrong location.
Sign only indicates which fibre is in tension. A hogging moment (−M) puts the top fibre in tension — critical for concrete beams where top reinforcement must be placed. Design for the absolute maximum moment magnitude, regardless of sign.
A UDL on a beam is a line load in kN/m (force per unit length), not a surface pressure in kN/m². To convert: multiply the floor pressure (kN/m²) by the tributary width of the beam (m) to get the line load (kN/m) before entering it into the calculator.
A steel W310×39 section weighs 39 kg/m = 0.383 kN/m. Over a 10 m span, this is 3.83 kN of self-weight — adding roughly 4.8 kN·m to Mmax. For precise structural analysis, add the self-weight as a full-span UDL. Rule of thumb: self-weight matters when it exceeds 10% of the applied load.
The area under the shear force diagram between two points equals the change in bending moment between those points. This is a powerful cross-check: if you integrate the SFD and do not recover your BMD values, there is an error in your moment equation.
✓ Calculation Accuracy & Reliability Statement
- All shear force and bending moment values are computed using analytical closed-form expressions derived directly from the governing differential equations of beam mechanics — not interpolation or lookup tables.
- The SFD and BMD diagrams are plotted using 2000 evaluation points along the beam length, giving sub-millimetre spatial resolution for standard engineering spans. Maximum numerical error: < 0.01% for smooth load distributions.
- Support reactions are solved exactly from static equilibrium equations (ΣFy = 0 and ΣMA = 0). Results are verified internally by checking that RA + RB equals the total applied load to within floating-point precision (< 10⁻⁹).
- For UVL (trapezoidal / varying distributed loads), the centroid location xc is computed analytically to avoid any approximation error in the reaction calculation.
- This tool is valid for statically determinate beams (simply supported and cantilever). For continuous (statically indeterminate) beams, the stiffness matrix or moment distribution method is required — results from this tool should not be used for multi-span continuous structures.
- This tool is intended for educational and preliminary design purposes. Final structural design must be reviewed and stamped by a licensed professional engineer in accordance with applicable codes (AISC, Eurocode, ACI, IS, etc.).
Frequently Asked Questions (FAQ) — Shear Force & Bending Moment Calculator
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