Support reactions.
Equilibrium equations solve for unknown reactions.
Equilibrium
AI Solver by AskSia
Beam Solver: reactions, shear, moment, deflection
Type or photograph the beam, loads, and supports. AskSia computes support reactions, draws shear and moment diagrams, and computes deflections using elastic beam theory or specialized formulas.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
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Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
How is a beam analyzed?
Beam analysis starts with finding support reactions using equilibrium: sum of forces in each direction equals zero, sum of moments about any point equals zero. Then construct shear and moment diagrams by working along the beam from one end to the other. Maximum shear and moment locate the critical design sections. For deflection, integrate the moment-curvature relationship twice, applying boundary conditions to find constants.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Beam.
Every step transparent, every answer self-checked.
Shear and moment diagrams.
Diagrams along beam length show internal forces.
Diagrams
Deflection by integration.
EI times y double-prime equals M(x), integrate twice with boundary conditions.
Deflection
Standard formulas.
For common load cases, AskSia uses tabulated formulas instead of integration.
Shortcuts
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Beam problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
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you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
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98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Beam solver covers.
Simply supported beam.
Two end supports, point or distributed load. AskSia finds reactions.
Simple
Cantilever beam.
Fixed at one end, free at the other. Reactions at the fixed end.
Cantilever
Overhang beam.
Beam extending beyond a support. AskSia handles the geometry.
Overhang
Continuous beam.
Multiple spans, intermediate supports. Statically indeterminate; use compatibility.
Continuous
Deflection at a point.
Compute deflection at a specified x. AskSia uses superposition for combined loads.
Deflection
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
How are support reactions found?
Apply the three equilibrium equations: sum of horizontal forces equals zero, sum of vertical forces equals zero, sum of moments about any point equals zero. For a statically determinate beam (no more than three unknowns), these three equations solve for all reaction forces and moments. AskSia picks the moment center strategically to eliminate one unknown at a time.
What do shear and moment diagrams show?
The shear diagram shows the internal shear force along the beam length; it changes by the integral of the distributed load and by point load values. The moment diagram shows the internal bending moment; it changes by the integral of shear and by any concentrated moments. The maximum moment locates the critical bending section, and the slope of the moment diagram equals the shear.
How is deflection calculated by integration?
Start with EI times y double-prime equals M(x), where E is Young's modulus, I is the moment of inertia of the cross-section, and M(x) is the bending moment as a function of position. Integrate twice and apply boundary conditions (zero deflection at supports, zero slope at fixed ends) to find the constants of integration.
When is a beam statically indeterminate?
When the number of unknown support reactions exceeds the three equilibrium equations. Examples: a beam with three supports (continuous beam), or a beam fixed at both ends. For these, you need additional compatibility equations from beam deflection or rotation conditions. AskSia identifies indeterminacy and applies superposition or the three-moment equation.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Reactions, shear, moment, deflection.
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