Impact Test - Charpy & Izod Pendulum Energy

Impact test calculator that turns swing angles, arm length, striker mass, and energy loss into absorbed joules plus impact velocity.

Impact Test

Starting angle of the pendulum arm relative to vertical before release. Typical Charpy and Izod setups use 60 deg to 160 deg.

Upswing angle of the pendulum after the specimen has absorbed energy. A value of 0 means the specimen absorbed all the initial potential energy.

Distance from the pendulum pivot to the center of the striker at the moment of impact.

Mass of the pendulum hammer (sometimes called the anvil). ASTM D256 pendulums are typically 0.45 to 4 kg.

Calibrated correction for bearing friction, windage, frame vibration, and striker rubbing. Found by running the pendulum with no specimen and comparing swing heights.

Local gravitational acceleration. The Earth preset uses the NIST standard-gravity value; pick a different body for comparison.

Used only when Gravity is set to Custom. Accepts any positive value in m/s^2.

Results

Absorbed Energy
0J
Absorbed Energy 0ft-lbf
Initial Drop Height (h) 0m
Post-Impact Rise (h1) 0m
Impact Velocity (V) 0m/s

What Is Impact Test?

An impact test is a pendulum or drop-tower experiment that measures how much energy a notched material specimen absorbs before it fractures under a single rapid strike. The most common variants are the Charpy test (specimen supported at both ends) and the Izod test (specimen held as a cantilever), both described in ASTM D256, ASTM D6110, and ASTM E23. This calculator turns the swing angles into a joule figure you can record alongside the specimen's break type.

  • Comparing material toughness: Run the same swing geometry on a known specimen and an unknown one, then compare the absorbed joule figure to rank toughness quickly.
  • Verifying a Charpy or Izod reading: Type the swing angles, arm length, and striker mass from your lab notebook into the form to confirm the joule figure reported by the pendulum readout.
  • Translating swing heights into impact velocity: Use the impact velocity output to feed downstream simulations (drop tests, crash models) without re-doing the geometry math by hand.

The math behind a pendulum impact test mirrors a playground swing: the striker trades height for speed on the way down, then trades speed back into height on the way up. The drop in height from before to after the strike is the specimen's absorbed energy, with a small fixed loss (bearing friction, frame vibration, windage) subtracted first per the ASTM D256 calibration run.

If you would rather see the energy from mass and impact velocity directly (without the swing geometry), our impact energy calculator skips the angles and just takes E = 1/2 m v^2 and is the closest peer in this category.

How Impact Test Works

The calculator converts swing angles into heights above the bottom of the swing, subtracts a calibrated energy-loss term, and reports absorbed energy in joules. It also uses V = sqrt(2 g h) to give you the speed the striker had at the moment of contact.

E = m * g * S * (cos(alpha) - cos(beta)) - E_l h = S * (1 - cos(beta)) h1 = S * (1 - cos(alpha)) V = sqrt(2 * g * h)
  • angle of fall (beta): Pendulum starting angle from vertical before release, entered in degrees. Typical setups use 60 deg to 160 deg.
  • angle of rise (alpha): Upswing angle after the specimen has absorbed energy. Zero means the specimen absorbed all the initial potential energy.
  • pendulum length (S) and striker mass (m): S is the distance from the pivot to the striker centre in metres. m is the striker mass in kilograms (ASTM D256 pendulums are typically 0.45 to 4 kg).
  • energy loss (E_l) and gravity (g): E_l is the calibrated correction for bearing friction, windage, frame vibration, and striker rubbing, obtained by running the pendulum with no specimen. g defaults to the NIST standard-gravity value 9.80665 m/s^2 and can be swapped to the Moon or Mars preset for comparison.

Re-creating the Omni Impact Test sample case

Beta = 60 deg, Alpha = 30 deg, S = 1 m, m = 0.44 kg, E_l = 0 J, g = 9.80665 m/s^2

cos(60 deg) = 0.5 and cos(30 deg) = 0.86603, so cos(alpha) - cos(beta) = 0.36603. E = 0.44 * 9.80665 * 1 * 0.36603 = 1.5794 J. h = 0.5 m. V = 3.1316 m/s.

Absorbed energy 1.5794 J (1.1651 ft-lbf), initial height 0.5 m, post-impact rise 0.13397 m, impact velocity 3.1316 m/s.

Matches the Omni Impact Test example to four decimal places.

Charpy V-notch run on a 4 kg pendulum

Beta = 120 deg, Alpha = 60 deg, S = 0.8 m, m = 4 kg, E_l = 0.5 J, g = 9.80665 m/s^2

cos(120 deg) = -0.5 and cos(60 deg) = 0.5, so the cosine spread is 1.0. E = 4 * 9.80665 * 0.8 * 1.0 - 0.5 = 30.8813 J. h = 1.2 m. V = 4.8514 m/s.

Absorbed energy 30.8813 J (22.7763 ft-lbf), initial height 1.2 m, post-impact rise 0.4 m, impact velocity 4.8514 m/s.

A 4 kg pendulum sweeping 60 deg of swing delivers about 30 J, the range where many polymer and light-metal Charpy results land.

According to ASTM D256, the energy absorbed by a notched Izod specimen equals the difference between the pendulum's initial and final gravitational potential energy, minus a calibrated energy-loss term that covers bearing friction, windage, frame vibration, and striker rubbing.

According to NIST Special Publication 811, the standard acceleration due to gravity adopted for measurement work is 9.80665 m/s^2, and 1 foot-pound equals exactly 1.3558179483314004 joules.

When you already know the striker mass and velocity and want the same E = 1/2 m v^2 expression without the swing geometry, our kinetic energy calculator handles that case in the math-conversion category.

Key Concepts Explained

Four small ideas explain every result the calculator shows.

Pendulum Energy Balance

The striker starts with gravitational potential energy m * g * h and ends with m * g * h1, so the specimen's absorbed energy is the difference minus the calibrated loss term.

Angle of Fall vs. Angle of Rise

The angle of fall sets how much potential energy is on the table. The angle of rise sets how much is left over. A bigger spread means a tougher specimen.

Energy Loss Calibration

ASTM D256 asks you to run the pendulum with no specimen and record the swing loss. That fixed Joule figure is E_l, subtracted from every real test.

Charpy vs. Izod Geometry

Charpy fixes the specimen at both ends and strikes the centre. Izod fixes only the bottom and strikes the top free end. The formula is the same; only the support changes.

ASTM D256 also lists four break outcomes (complete, hinge, partial, non-break) that lab writeups pair with the joule figure.

If you want to check the swing timing of the same arm before running the test, our pendulum period calculator applies T = 2 pi sqrt(L / g) and is a useful sanity check on the arm length you entered.

How to Use This Calculator

Five short steps turn your pendulum readings into a joule figure you can put in a report.

  1. 1 Pick the swing angles: Type the angle of fall and angle of rise in degrees. Most readouts report angles to one decimal place.
  2. 2 Enter the pendulum geometry: Add the distance from the pivot to the striker centre in metres and the striker mass in kilograms. ASTM D256 pendulums usually print both on the instrument plate.
  3. 3 Add the calibrated energy loss: Run the pendulum with no specimen once and record the difference between the two swing heights as E_l. Leave it at 0 J if your instrument does not require a correction.
  4. 4 Choose the gravity preset: Keep Earth at 9.80665 m/s^2 for a normal lab. Switch to Moon or Mars only for a different gravitational environment comparison.
  5. 5 Read the absorbed energy: Use the absorbed joule figure as the headline result, quote the initial and final heights in your notes, and pull the impact velocity if you are feeding a downstream model.

If your Charpy readout shows beta = 120 deg, alpha = 60 deg, S = 0.8 m, m = 4 kg, E_l = 0.5 J, and g = 9.80665 m/s^2, the calculator returns 30.8813 J (22.7763 ft-lbf), an initial drop height of 1.2 m, a post-impact rise of 0.4 m, and an impact velocity of 4.8514 m/s. That is enough information to update the lab notebook and to feed the same striker velocity into a finite-element model.

If the impact you are modelling is closer to a fast projectile than a pendulum strike, our bullet energy calculator applies the same E = 1/2 m v^2 to a bullet mass and velocity.

Benefits of Using This Calculator

A purpose-built calculator removes unit-conversion and sign errors that creep in when the swing math is done by hand.

  • Handles both Charpy and Izod setups: The same form covers both ASTM D256 (Izod) and ASTM D6110 (Charpy) geometries, so you do not need two different spreadsheets.
  • Reports joules and foot-pounds at once: Absorbed energy is shown in both metric and imperial units using the NIST 1.3558179483314004 J/ft-lbf conversion.
  • Surfaces supporting geometry: Initial drop height, post-impact rise, and impact velocity are shown next to the absorbed energy, which makes the calculator useful for downstream models.
  • Flags bad pendulum readings: A negative absorbed-energy value means the post-impact rise is higher than the starting position, which is the easiest way to spot a misread angle or a calibration drift.

For a non-pendulum impact where the striker drops straight down from a known height, our free fall time calculator covers the same m * g * h starting point and is usually a faster fit.

Factors That Affect Your Results

Three variables drive the absorbed-energy number, and two limitations tell you when to double-check the answer.

Pendulum arm length (S)

Longer arms translate the same swing angles into taller drop heights, which raises both the available potential energy and the impact velocity.

Striker mass (m)

Heavier strikers carry more potential energy into the strike, so the same swing geometry yields a larger absorbed-energy figure.

Energy loss (E_l)

E_l is a fixed correction found by running the pendulum with no specimen. It must be subtracted from every real test so instrument losses are not counted as absorbed energy.

  • The formula assumes a rigid pendulum arm, no air drag, and a single point-mass striker, so the result is the energy the specimen would absorb in an idealised test rather than a measurement of every dissipation channel.
  • A negative result (post-impact rise higher than the starting height) means the data are inconsistent. Recheck the angles, the calibrated E_l, and whether the right specimen was loaded.

According to Omni Calculator Impact Test page, the worked example with beta = 60 deg, alpha = 30 deg, S = 1 m, m = 0.44 kg, and E_l = 0 J gives 1.5794 J of absorbed energy and an impact velocity of 3.1316 m/s.

For a vehicle-scale impact where the velocity already comes from a different sensor, our car crash force calculator skips the swing geometry and goes straight to mass and velocity.

Impact test calculator showing pendulum arm geometry, swing angles, and absorbed energy in joules for Charpy and Izod specimens
Impact test calculator showing pendulum arm geometry, swing angles, and absorbed energy in joules for Charpy and Izod specimens

Frequently Asked Questions

Q: What is an impact test?

A: An impact test is a pendulum or drop-tower experiment in which a striker hits a notched material specimen at high speed and the energy absorbed by the specimen is measured from the swing heights before and after the strike.

Q: What is the impact test energy formula?

A: The formula is E = m * g * S * (cos(alpha) - cos(beta)) - E_l, where m is striker mass, g is gravity, S is the arm length, alpha is the rise angle, beta is the fall angle, and E_l is the calibrated energy loss.

Q: How does the Charpy test differ from the Izod test?

A: In a Charpy test the specimen is supported as a simple beam and the hammer strikes the centre. In an Izod test the specimen is held vertically as a cantilever and the hammer strikes the free end. The absorbed energy formula is the same in both tests.

Q: How do you calculate the energy absorbed?

A: Measure the angle of fall beta and angle of rise alpha, multiply the cosine spread cos(alpha) - cos(beta) by m, g, and the pendulum length S, and subtract the calibrated energy loss E_l. The result is the absorbed energy in joules.

Q: What is the energy loss term?

A: The energy loss term E_l covers bearing friction, frame vibration, windage, and striker rubbing on the specimen. It is found by running the pendulum with no specimen and is subtracted from every real test so the instrument losses are not counted as absorbed energy.

Q: How do you convert impact energy to joules per millimeter?

A: Divide the absorbed energy in joules by the specimen thickness at the notch in millimetres. The result is the impact strength in J/mm, which is the ASTM D256 reporting unit when the specimen width is fixed by the standard.