Question

if r=10mm ,l=1.0 m F= 10 kN and Y = 2×10^11 N/m^2 find stress, elongation and strain

Answer 1

Answer:-

Given that,

• Radius r=10mm
• Lenght l=1.0m
• Force F=100kN
• Young modulus Y=2.0×10¹¹ Nm²

Now, the stress is,

☆ Stress :

⠀⠀⠀➙ 100×10³N/3.14×10²m²

⠀⠀⠀➙ 3.18×10⁸Nm⁻²

Now, the elongation is

☆ ΔL= FL/AY

➦ ΔL= 3.18×10⁸ ×1/2.0×10¹¹

➦ ΔL= 1.59×10⁻³ m

➦ ΔL= 1.59mm

Now, the strain is

☆ Strain :

➦ ΔL/L

➦ 1.59×10⁻³/1.0

➦ 1.59×10⁻³

Hence, this is the required solution. ✧