Impact Loads Calculators

Impact of a Bar on a Rigid Surface

In this calculation, an impact of a bar with material density ρ and initial speed W₀ on a rigid surface is considered. In this case, compression stresses σ and deformations arisen in the bar being propagated along the length of the bar at the speed of a sound wave. If the opposite end of the bar is not limited by anything at the moment of impact, harmonic tensile stresses will arise in the bar, which decay in the process of energy dissipation in the material. For the calculation, the elastic modulus E of the bar should be specified.

Calculation of bar at impact on surface

Calculation of bar at impact on surface

INITIAL DATA

ρ - Bar material density;

E - Young's modulus;

W₀ - Bar initial speed.

RESULTS DATA

σ - Maximum compressive stress in the bar.

Metric Imperial

Material density (ρ)

Young's modulus (Е)

Bar speed (W₀)

Compressive stress (σ)

Hi, friends!

Thank you for using our site, I hope you find it useful.
There have never been, and never will be, ads or paid content here. However, I must ask for your help with hosting and domain payments. Also, your support can help us create new useful calculators :-)

You can support us through the portals:

Solana - BSsqYZjFcwq5tuiroPBRWyEZp4KxcG7JFUgiwrD8TpT9

Ethereum - 0x76aeBC7874180bF334c673268BF0e8ebDf5CC553

Bitcoin (Taproot) - bc1p9w2w8wnjm2f6c9rm0fksr5fszhv8pnt0az5tt57xfrjzf4mm3mzqxhfwwm

Bitcoin (Native Segwit) - bc1qa8xgz5g0q9n25wvcnuxrsyclz7umn66dtpkhhz

BASIC FORMULAS

Sound wave speed:

с = (E / ρ)^1/2;

Bar deformation:

ε = W₀ / c;

Compressive stress:

σ = E * ε.

INITIAL DATA

ρ - Bar material density;

E - Young's modulus;

W₀ - Bar initial speed.

RESULTS DATA

σ - Maximum compressive stress in the bar.

MATERIALS PROPERTIES

Material	Young’s modulus Pa (psi)	Poisson’s ratio
Steel	1.86÷2.1×10¹¹ (2.7÷3.05×10⁷)	0.25÷0.33
Cast iron	0.78÷1.47×10¹¹ (1.1÷2.1×10⁷)	0.23÷0.27
Copper	1.0÷1.3×10¹¹ (1.45÷1.9×10⁷)	0.34
Tin bronze	0.74÷1.22×10¹¹ (1.1÷1.8×10⁷)	0.32÷0.35
Brass	0.98÷1.08×10¹¹ (1.4÷1.6×10⁷)	0.32÷0.34
Aluminum alloy	0.7×10¹¹ (1.0×10⁷)	0.33
Magnesium alloy	0.4÷0.44×10¹¹ (5.8÷6.4×10⁶)	0.34
Nickel	2.5×10¹¹ (3.6×10⁷)	0.33
Titanium	1.16×10¹¹ (1.7×10⁷)	0.32
Lead	0.15÷0.2×10¹¹ (2.2÷2.9×10⁶)	0.42
Zinc	0.78×10¹¹ (1.1×10⁷)	0.27
Glass	4.9÷5.9×10¹⁰ (7.1÷8.5×10⁶)	0.24÷0.27
Concrete	1.48÷2.25×10¹⁰ (2.1÷3.3×10⁶)	0.16÷0.18
Wood (along the grain)	8.8÷15.7×10¹⁰ (12.8÷22.8×10⁶)	-
Wood (across the grain)	3.9÷9.8×10¹⁰ (5.7÷14.2×10⁶)	-
Nylon	1.03×10¹⁰ (1.5×10⁶)	-

OTHER CALCULATORS

AREA MOMENTS OF INERTIA

BEAM CALCULATORS

TORSION OF BARS

CIRCULAR FLAT PLATES

BUCKLING

ELASTIC CONTACT

IMPACT LOADS

NATURAL FREQUENCIES

PRESSURED SHELLS

FLUID DYNAMIC

COMPOSITES

SPRINGS

THREAD CONNECTIONS

SHAFT CONNECTIONS

BEARINGS

DRIVES

FATIGUE

HEAT TRANSFER