### Uniaxial Test on Bone SpecimenA uniaxial test was conducted on a bone specimen with an initial central (gauge) region measuring 6 mm in length and 2 mm in diameter. The following five data points were recorded:| Axial Force (N) | Change in Length (mm) ||-----------------|-----------------------|| 94 | 0.009 || 190 | 0.018 || 284 | 0.027 || 376 | 0.050 || 440 | 0.094 |### Instructions:1. **Plot the Stress–Strain Relation:** - Convert the axial force to stress and change in length to strain. - Plot the stress-strain curve using the data points provided.2. **Calculate Young’s Modulus:** - Determine the slope of the linear portion of the stress-strain curve to find Young’s modulus.3. **Determine the Yield Stress:** - Identify the point at which the curve transitions from elastic to plastic deformation to estimate the yield stress (~118 MPa).### Notes:- The yield stress indicates the transition from elastic to plastic behavior in the material.- Refer to Figure 2.25 for additional context on the stress-strain relationship.- Data sourced from Özkaya and Nordin (1999).

a uniaxial test results were given as followslength=6mmdia=2mm

A uniaxial test was performed on a bone specimen having a central (gauge) region initially 6 mm long and 2 mm in diameter. Five data points were recorded: Axial force (N) 94 190 284 376 440 Change in length (mm) 0.009 0.018 0.027 0.050 0.094 Plot the associated stress-strain relation, calculate a Young's modulus, and show that the yield stress is ~118 MPa. Recall that the yield stress reveals the transition from elastic to plastic (cf. Fig. 2.25). Data from Özkaya and Nordin (1999).

A uniaxial test was performed on a bone specimen having a central (gauge) region initially 6 mm long and 2 mm in diameter. Five data points were recorded: Axial force (N) 94 190 284 376 440 Change in length (mm) 0.009 0.018 0.027 0.050 0.094 Plot the associated stress-strain relation, calculate a Young's modulus, and show that the yield stress is ~118 MPa. Recall that the yield stress reveals the transition from elastic to plastic (cf. Fig. 2.25). Data from Özkaya and Nordin (1999).

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 2- The below figure shows three-point bending test of a bone a) Determine the shear force diagram…

Q: A kinked edge crack has been detected in a large plate which is to be loaded by a remote tensile…

A: I have solved your problem

Q: A strain gauge is attached to the surface of a circular shaft with a radius of 40 mm, as shown in…

A: Given, Radius of circular shaft = 40 mm Strain calculated by strain gauge = -200μ or -200 x 10-6 G…

Q: *3-20. The stress-strain diagram for a bone is shown and can be described by the equation € = 0.45…

Q: S1:Q1 a) Figure 1a provides dimensions of a test sample that is being subjected to a tensile stress.…

Q: From the typical results of a UC test in Figure 1, determine the unconfined compression strength and…

A: Note:- Hi! Thank you for the question As per the honor code, We’ll answer the first question since…

Q: The piece of wood shown below was used in an experiment. During the test it sheared parallel to the…

A: Shear stress is the force that causes deformation by sliding along a plane of material. When the…

Q: The rectangular plate is deformed into the shape shown by the dashed lines. Determine the average…

A: The normal strain represents the elongation or deformation of the body that is undergone to some of…

Q: Determine the following: a. Young's modulus within the linear portion b. Tangent modulus at a stress…

A: a).Young's Modulus : At the proportional limit, stress is directly proportional to strain stress α…

Q: A "twisting" torque (i.e. torsion) of 80 Nm is applied to a hollow bone with an outside radius of 2…

A: Tosional formulae is used to estimate the shear stress in the hollow bone section.

Q: Problem 1.4. A tensile test was conducted on a mild steel bar. The following data was obtained from…

Q: (a) Calculate average tensile stresses and strains for each record. (b) Draw the tensile…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Learning Goal: To determine the average normal strain and average shear strain in a known material…

Q: A tensile test was conducted on a specimen with a diameter of 0.5 in. A strain gage was bond pecimen…

A: The strain of the material is directly proportional to the value of stress within the elastic limit.…

Question

### Uniaxial Test on Bone Specimen

A uniaxial test was conducted on a bone specimen with an initial central (gauge) region measuring 6 mm in length and 2 mm in diameter. The following five data points were recorded:

| Axial Force (N) | Change in Length (mm) |
|-----------------|-----------------------|
| 94 | 0.009 |
| 190 | 0.018 |
| 284 | 0.027 |
| 376 | 0.050 |
| 440 | 0.094 |

### Instructions:

1. **Plot the Stress–Strain Relation:**
- Convert the axial force to stress and change in length to strain.
- Plot the stress-strain curve using the data points provided.

2. **Calculate Young’s Modulus:**
- Determine the slope of the linear portion of the stress-strain curve to find Young’s modulus.

3. **Determine the Yield Stress:**
- Identify the point at which the curve transitions from elastic to plastic deformation to estimate the yield stress (~118 MPa).

### Notes:

- The yield stress indicates the transition from elastic to plastic behavior in the material.
- Refer to Figure 2.25 for additional context on the stress-strain relationship.
- Data sourced from Özkaya and Nordin (1999).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Draw stress strain curve

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Problem 1.4. A tensile test was conducted on a mild steel bar. The following data was obtained from the test : (i) Diameter of the steel bar (ii) Gauge length of the bar (iii) Load at elastic limit (iv) Extension at a load of 150 kN. (v) Maximum load (vi) Total extension (vii) Diameter of the rod at the failure Determine : (a) the Young's modulus, = 3 cm = 20 cm = 250 kN = 0.21 mm = 380 kN = 60 mm - 2.25 cm. (c) the percentage elongation, and (b) the stress at lastic limit, (d) the percentage decrease in area.
Calculate the stress from a 0.3498 in. diameter tensile specimen yielding at 4.407 kips 46.0 ksi 30.6 ksi 33.4 ksi 45.9 ksi
The thin square plate shown is uniformly deformed such that €, = +1445 pE, E, = -674 uE, and y,y = +1260 urad. Determine the normal strain e, in the plate. 60 mm O -157 µE O -309 µE O -198 HE O -244 µE O -256 HE
A rectangular thin plate with Young's modulus 200 GPa and Poisson's ratio 0.30 is subjected to uniform stress distribution at its edges as shown. However it is stated that the dimension b of the plate does not change under the action of stress components , and om Considering microstrains (in 106), the change in the length of dimension a (in mm) is (rounded off to three decimal places) b- 100 mm O= 200 MPa Oyy = 200 mm
Given the torque-angle deformation curve below, estimate the shear modulus in GPa?. Where the length of the specimen is 273mm and the diameter is 19.3mm (Round your answer to nearest integer, e.g. 100, do not add units, use exact value of pi not 3.14) SC.O 45.0 35.0 25.0 20.0 5.0 0.20 040 050 0.60 0.70 0.80 0.90 Angle (") A S en eta ine f Your Answer: Answer Torque (N-m)
Strength For the state of plane stress shown, determine the largest value of o, for which the maximum in plane shear stress is equal to or less than 75 MPa. After you determine the value, draw Mohr circle for the case
Thanks for the help
please answer problem 2
A plate was subjected to a tensile force P=100 KN as shown on the figure. If the allowablestress is 250 MPa, Calculate the following:(a) Minimum required thickness of the plate. (Hint: HOLE vs FILLET) (b) Maximum allowable stress based on minimum thickness of the plate, Let K= 1.20 (c) Percent decrease on stress concentration
Question 17) The following measurements were recorded during compression test on two specimens: Mild steel and Cast Iron. The width and thickness of the specimen before the test are given in the table below (every dimension was measured three times) Cross-Section Dimensions (mm) Steel Cast Iron Measure #1 w= 12.66, t=12.67 w= 12.67, t=12.67 Measure #2 w= 12.67, t-12.67 w= 12.66, t=12.65 Measure #3 w- 12.68, t-12.67 w- 12.64, t-12.67 Calculate the average width (w) and thickness (t) in mm of both mild steel and cast- iron respectively. The order is w, t (mild steel), w, t (cast-iron) (Use two decimal places. do not add units, e.g. 10.02) With reference to data in question 17, what is the original cross section areas (Ao) of the mild steel and cast-iron respectively. (Use two decimal places, without units, e.g., 120.52)
Explanation it correctly
I will give you like