1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
weeeeeb [17]
3 years ago
13

Practice Problem: True Stress and Strain A cylindrical specimen of a metal alloy 49.9 mm long and 9.72 mm in diameter is stresse

d in tension. A true stress of 376 MPa causes the specimen to plastically elongate to a length of 53.5 mm. If it is known that the strain-hardening exponent for this alloy is 0.1, calculate the true stress (in MPa) necessary to plastically elongate a specimen of this same material from a length of 49.9 mm to a length of 58.2 mm.
Engineering
1 answer:
Valentin [98]3 years ago
5 0

Answer:

The true stress required = 407 MPa

Explanation:

True Stress is the ratio of the internal resistive force to the instantaneous cross-sectional area of the specimen. True Strain is the natural log to the extended length after which load applied to the original length. The cold working stress – strain curve relation is as follows,

σ(t) = K (ε(t))ⁿ, σ(t) is the true stress, ε(t) is the true strain, K is the strength coefficient and n is the strain hardening exponent

True strain is given  by

Epsilon t =㏑ (l/l₀)

Substitute㏑(l/l₀) for ε(t)

σ(t) = K(㏑(l/l₀))ⁿ

Given values l₀ = 49.9mm, l =53.5mm , n =0.1 , σ(t) =376Mpa

376 x 10⁶ = K (㏑(53.5/49.9))^0.1

K = 376 x 10⁶/(㏑(53.5/49.9))^0.1

K = 490.78 MPa

Knowing the constant value would be same as the same material is being used in the second test, we can find out the true stress using the above formula replacing the value of the constant.

σ(t) = K(㏑(l/l₀))ⁿ

l₀ = 49.9mm, l = 58.2mm, n = 0.1, K = 490.78Mpa

σ(t) = 490.78 x 10⁶ x (㏑(58.2/49.9))^0.1

σ(t) = 407 MPa

The true stress necessary to plastically elongate the specimen is 407 MPa.

You might be interested in
What do you own that might not be manufactured?
horrorfan [7]

Answer:

A pet

Explanation:

Latin time I checked animals aren't made by people? I honestly don't know if this helps but I'm technically not wrong.

8 0
3 years ago
A spherical gas container made of steel has a(n) 17-ft outer diameter and a wall thickness of 0.375 in. Knowing that the interna
Arte-miy333 [17]

Answer:

Maximum Normal Stress σ = 8.16 Ksi

Maximum Shearing Stress τ = 4.08 Ksi

Explanation:

Outer diameter of spherical container D = 17 ft

Convert feet to inches D = 17 x 12 in = 204 inches

Wall thickness t = 0.375 in

Internal Pressure P = 60 Psi

Maximum Normal Stress σ = PD / 4t

σ = PD / 4t

σ = (60 psi x 204 in) / (4 x 0.375 in)

σ = 12,240 / 1.5

σ = 8,160 P/in

σ = 8.16 Ksi

Maximum Shearing Stress τ = PD / 8t

τ = PD / 8t

τ = (60 psi x 204 in) / (8 x 0.375 in)

τ = 12,240 / 3

τ = 4,080 P/in

τ = 4.08 Ksi

7 0
3 years ago
For powder compaction using a single-action punch, derive an expression for the distribution of axial pressure within a die of r
Zielflug [23.3K]

Answer:

a) 2∪p/lb (l+b)dH

b) po exp( 4∪x/l)

Explanation:

please check the attachment for proper explanation and proper sign notations thanks.

3 0
3 years ago
Is 4/16 equal in measurement to 1/4
Alja [10]

Answer:yes

Explanation:

5 0
2 years ago
Read 2 more answers
PLEASE ANSWER ASAP!
Butoxors [25]

Answer:

Please check the explanation.

Explanation:

While driving, white lines would require us to stay within the lane, also marking the shoulder of the roadway.

While yellow lines generally mark the center of a two-way road being used for two-way traffic.

We generally can pass on a two-way road if the yellow centerline is broken.

7 0
2 years ago
Read 2 more answers
Other questions:
  • A horizontal 2-m-diameter conduit is half filled with a liquid (SG=1.6 ) and is capped at both ends with plane vertical surfaces
    11·1 answer
  • Create an abstract class DiscountPolicy. It should have a single abstract method computeDiscount that will return the discount f
    7·1 answer
  • Why is it important to keep hand tools free of oil and grease?
    14·1 answer
  • Which one of the following activities is not exempt from licensure pursuant to Chapter 471, F.S.? A person practicing engineerin
    5·1 answer
  • # 17
    13·2 answers
  • What is the difference between the pressure head at the end of a 150m long pipe of diameter 1m coming from the bottom of a reser
    7·1 answer
  • You are a technical writer for Landson Toy Company. Landson has just designed a new, more durable swing set for 6- to 10-year-ol
    9·1 answer
  • Compare and contrast mechanical properties of plastics, metals and ceramics.
    13·1 answer
  • Are the communication skills required for a team leader in a manufacturing plant different from those of a customer service exec
    9·1 answer
  • The regulator is closed when the adjusting screw is turned in (clockwise).
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!