Shear Modulus Converter - Convert GPa, PSI, MPa & More Units

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Result:

1 GPa = 145037.68078947 PSI

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How Shear Modulus Conversion Works

Input Value

Enter shear modulus value

Select Units

Choose from and to units

Convert

Apply conversion formula

G₂ = G₁ × (f₁/f₂)

Conversion formula

Shear Modulus Formulas & Calculations

Basic Formula

G = τ / γ

Where: G = Shear Modulus, τ = Shear Stress, γ = Shear Strain

Example: G = 50 MPa / 0.001 = 50,000 MPa

Unit Conversion

G(PSI) = G(GPa) × 145,038

Convert GPa to PSI

Example: 80 GPa = 80 × 145,038 = 11,603,040 PSI

Relationship with Young's Modulus

G = E / (2(1 + ν))

Where: E = Young's Modulus, ν = Poisson's Ratio

Example: G = 200 GPa / (2(1 + 0.3)) = 76.9 GPa

Torsion Formula

θ = TL / (GJ)

Where: θ = Angle of twist, T = Torque, L = Length, J = Polar moment

Example: θ = (1000 Nm × 2 m) / (80 GPa × 1e-6 m⁴) = 0.025 rad

Shear Modulus Conversion Table

GPa	PSI	MPa	ksi	Pa	bar
0.1	14,503.8	100	14.5	1.00e+8	1,000
1	145,038	1,000	145.0	1.00e+9	10,000
5	725,190	5,000	725.2	5.00e+9	50,000
10	1,450,380	10,000	1450.4	1.00e+10	100,000
25	3,625,950	25,000	3626.0	2.50e+10	250,000
50	7,251,900	50,000	7251.9	5.00e+10	500,000
75	10,877,850	75,000	10877.9	7.50e+10	750,000
100	14,503,800	100,000	14503.8	1.00e+11	1,000,000
150	21,755,700	150,000	21755.7	1.50e+11	1,500,000
200	29,007,600	200,000	29007.6	2.00e+11	2,000,000
250	36,259,500	250,000	36259.5	2.50e+11	2,500,000
300	43,511,400	300,000	43511.4	3.00e+11	3,000,000
400	58,015,200	400,000	58015.2	4.00e+11	4,000,000
500	72,519,000	500,000	72519.0	5.00e+11	5,000,000
1000	145,038,000	1,000,000	145038.0	1.00e+12	10,000,000

Shear Modulus Units Progression Chart

1 GPa

PSI:145,038

MPa:1,000

10 GPa

PSI:1,450,380

MPa:10,000

50 GPa

PSI:7,251,900

MPa:50,000

100 GPa

PSI:14,503,800

MPa:100,000

200 GPa

PSI:29,007,600

MPa:200,000

500 GPa

PSI:72,519,000

MPa:500,000

Practice Problems

Problem 1:

Convert 80 GPa to PSI

Solution: 80 × 145,038 = 11,603,040 PSI

Problem 2:

Convert 50,000 PSI to GPa

Solution: 50,000 ÷ 145,038 = 0.345 GPa

Problem 3:

Convert 200 MPa to ksi

Solution: 200 ÷ 6.895 = 29.0 ksi

Problem 4:

Convert 25 ksi to MPa

Solution: 25 × 6.895 = 172.4 MPa

Problem 5:

Convert 1.5 GPa to bar

Solution: 1.5 × 10,000 = 15,000 bar

Daily Uses of Shear Modulus

Steel beam design requires shear modulus for structural safety calculations

Automotive engineers use shear modulus for suspension spring design

Aircraft wing torsion analysis depends on material shear modulus values

Bridge construction uses shear modulus for earthquake resistance design

Manufacturing quality control tests material shear modulus for specifications

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Quick Reference

📏1 meter

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⚖️1 kilogram

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