LVL beam ply calculator
A 16-foot span carrying 400 pounds per linear foot gets a 14-inch LVL depth by rule of thumb and needs a single 1.75-inch ply under the default stresses. Enter span and load for a first ply count before you check span tables. Free in your browser.
- Free
- Runs in your browser
- No sign-up
- Your data stays on your device
Run — free
Worked example
- Span ft
- 16
- Load plf
- 400
- Depth in
- 14
- Depth source
- rule_of_thumb
- Span depth ratio
- 16
- Ply thickness in
- 1.75
Built-up laminated veneer lumber beams stack two or more factory LVL plies face to face so a header or girder can carry more floor or roof load than a single stick of the same depth. Before you open span tables or call an engineer, you often need a quick rule-of-thumb count of plies from the clear span in feet and the uniform load in pounds per linear foot. This LVL beam ply calculator sizes depth with a span-to-depth ratio when you do not supply a stock depth, computes simply supported bending moment and end shear, and returns the governing ply count from section modulus and shear area checks.
How rule-of-thumb depth and ply count are computed
Start with the clear span of the built-up beam in feet and the uniform load in pounds per linear foot that the member must support along its length, including dead load and live load tributary to that line. When you omit depth, the calculator applies a residential floor-beam rule of thumb: raw depth in inches equals twelve times the span in feet divided by the span-to-depth ratio, which defaults to sixteen so that L over d is sixteen.
That raw depth is then snapped upward to the next common LVL catalog size such as nine and a quarter, eleven and seven eighths, or fourteen inches so shopping lists match stock rather than fractional fantasy sizes. Required section modulus is moment converted to inch-pounds divided by the rule-of-thumb allowable bending stress, defaulting to twenty-eight hundred pounds per square inch. One rectangular ply has section modulus equal to thickness times depth squared over six and area equal to thickness times depth.
Ply count from flexure is the ceiling of required modulus over one-ply modulus; ply count from shear is the ceiling of one and a half times shear over allowable shear stress times one-ply area, with allowable shear defaulting to two hundred eighty-five pounds per square inch. The reported plies value is the maximum of those two counts and at least one, capped at twelve with a flag when the cap binds.
Optional overrides for span-depth ratio, ply thickness, and stresses let you match a product sheet without changing the closed-form pipeline. The path is pure floating-point arithmetic with no random seeds, no wall-clock timestamps, and no network calls, so goldens and hand audits stay stable.
Where LVL ply estimates show up in real work
Remodelers sizing a kitchen or garage opening need a first-cut ply count before they order stock LVL and before an engineer finalizes the stamp set. Framing crews writing material lists for floor girders convert clear span and tributary plf into a built-up width so the beam pocket and hangers match the stacked thickness. Lumberyards and e-commerce product pages often embed a ply helper next to multi-ply LVL SKUs so shoppers compare two-ply versus three-ply packages for a given span and load without opening a full design manual.
Home inspectors and estimators who only need order-of-magnitude checks use the same numbers to flag undersized built-ups in existing construction before recommending a full analysis. Treat manufacturer span tables, species and grade adjustments, bearing length, lateral support, connection hardware, multi-span continuity, and code-compliant design as separate intents and landings rather than overloading this rule-of-thumb LVL beam ply calculator page. Always have a licensed professional review structural members that carry life safety loads or that sit in a jurisdiction requiring sealed calculations.
What you can do with it
Remodel header first cut
Enter clear span and tributary plf for a wall opening, read the governing ply count and total built-up width, then refine with manufacturer tables before ordering stock LVL.
Classroom section modulus demos
Show how L/d depth, M equals w L squared over eight, and S equals b d squared over six scale plies when load or span changes.
FAQ
What formula does this LVL beam ply calculator use?
Moment is w L² / 8 and shear is w L / 2. Plies equal the max of ceil(S_req / S_one) and ceil(1.5 V / (Fv A_one)), with S_one = b d² / 6.
Is this a substitute for engineered design or span tables?
No. It is a rule-of-thumb estimator for preliminary ply count only. Final members must follow manufacturer literature, applicable codes, and a licensed design professional where required.
What units are assumed?
Span is feet. Load is pounds per linear foot. Depth and ply thickness are inches. Stresses are pounds per square inch. Outputs include moment in foot-pounds and inch-pounds plus section modulus in cubic inches.
What defaults apply when I only send span and load?
Span-to-depth ratio sixteen, ply thickness 1.75 in, Fb 2800 psi, Fv 285 psi. Depth is rule-of-thumb sized and snapped to a common LVL depth. Override any of these fields when you know product values.
What if I already know the beam depth I will buy?
Enter that depth and the calculator uses it as is, skipping the rule-of-thumb sizing and the snap to a catalog depth. The ply count then comes straight from the bending and shear checks at your depth.
Related tools
For developers — API access
Everything on this page is available programmatically. This section is for teams who want to wire it into their own systems; everyone else can just use the tool above.
API endpoint
Prefer to automate it? One authenticated POST creates the task; the result comes back by webhook or a signed link. The same capability also runs here on the web, by email and from Telegram — and soon from our app too.
Call it from your stack
curl -X POST https://api.kit.forhosting.com/home/lvl-beam-plies \
-H "Authorization: Bearer $KIT_KEY" \
-H "Content-Type: application/json" \
-d '{"span_ft":16,"load_plf":400}'const res = await fetch("https://api.kit.forhosting.com/home/lvl-beam-plies", {
method: "POST",
headers: {
"Authorization": `Bearer ${process.env.KIT_KEY}`,
"Content-Type": "application/json"
},
body: JSON.stringify({
"span_ft": 16,
"load_plf": 400
})
});
const { task_id } = await res.json();import os, requests
res = requests.post(
"https://api.kit.forhosting.com/home/lvl-beam-plies",
headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
json={
"span_ft": 16,
"load_plf": 400
},
)
task_id = res.json()["task_id"]<?php
$res = file_get_contents("https://api.kit.forhosting.com/home/lvl-beam-plies", false, stream_context_create([
"http" => [
"method" => "POST",
"header" => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
"content" => '{"span_ft":16,"load_plf":400}',
],
]));
$task = json_decode($res, true);body := bytes.NewBufferString(`{"span_ft":16,"load_plf":400}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/home/lvl-beam-plies", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)Example request
{
"span_ft": 16,
"load_plf": 400
}Example response
{
"task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
"type": "home.lvl_beam_plies",
"status": "queued",
"_links": {
"result": "/tasks/tsk_…/result"
}
}The API is asynchronous: the call returns a task_id immediately and the result arrives by webhook. Polling is capped at 1 req/s per task.
Pricing
Published price — no tokens, no invented credits. A failed task is never charged.
Errors
| HTTP | Code | Meaning |
|---|---|---|
401 | unauthorized | Missing or invalid API key. |
402 | insufficient_balance | Your balance doesn't cover the task price. |
404 | unknown_type | That task type doesn't exist. |
429 | rate_limited | Too many requests. Use the webhook instead of polling. |
Technical notes
Defaults match common one-and-three-quarter-inch plies and mid-grade allowable stresses so a phone estimate, a materials take-off sketch, and a later API call stay on the same pure deterministic formula.
How rule-of-thumb depth and ply count are computed
If you already know the depth of the product you will buy, pass depth_in and the snap step is skipped. With depth fixed, the beam is treated as simply supported under uniform load: maximum moment equals load times span squared over eight foot-pounds, and maximum shear equals load times span over two pounds.
What you send and what you get back
Zero or negative span, negative load, non-positive depth or ply thickness, non-positive stress values, and a span-depth ratio below eight are rejected with clear messages so clients correct the form before retrying. Send two required finite numbers: span_ft for the clear span in feet and load_plf for the uniform supported load in pounds per linear foot. Optional fields are depth_in in inches when you already chose a stock depth, span_depth_ratio when you want a different L over d than the default of sixteen, ply_thickness_in when your LVL is not one and three quarters inches thick, and fb_psi plus fv_psi when you want different rule-of-thumb allowable stresses. Missing required fields, non-numeric strings, NaN, and Infinity fail with invalid_input and are not charged. On success the response echoes cleaned inputs, reports depth_in and depth_source as either user or rule_of_thumb, includes depth_raw_in when depth was sized by the L over d rule before snapping, and returns moment_ft_lb, moment_in_lb, shear_lb, section_modulus_required_in3, section_modulus_per_ply_in3, area_per_ply_in2, plies_bending, plies_shear, the governing plies integer, total_width_in as plies times ply thickness, plies_capped, a short formula string, and a note that the result is a rule-of-thumb estimate only. Pricing for successful API calls is the published base of $0.002 per item; validation failures do not consume prepaid balance.
Where LVL ply estimates show up in real work
Because this capability is a pure parse engine, API pricing is the published base of $0.002 per successful item and failed validation does not consume balance.
Integration use cases
Floor girder material take-off
Batch span and load pairs for multiple girders through the API so the lumber list matches stacked ply thickness for pockets and hangers.
Technical questions
What does an LVL beam ply estimate cost via the API?
On this page the LVL ply estimate runs free in your browser. Through the API each successful estimate costs $0.002; failed validation is not charged.