Question

3. A square rod of 500 mm long with a width of 10 mm is subjected to a load of 40000 N., The stress-strain behavior is shown in the Figure below. Based on the information, please answer the following questions: (Note: Pa = N/㎡, J = Nm) (a) Compute the applied stress (5 points). 70 Tensile strength 450 MPa (65.000 ps) -60 400 103 ps MPa 40厂 50 300 40 Yield strength30 250 MPa (36.000 ps) 200 100 20 10 10 0.005 0 0 0.10 0 20 0.30 0. 40

(b) At the applied stress level you calculated in (a), determine the corresponding strain. (5 points) (c) Based on information from (a) and (b), determine the elongation of this rod at the applied stress? (10 points) (d) What is the final length of this rod that you observe at the applied load? (10 points) (e) Determine the modulus of elasticity of this material? (5 points)
(f) You found that the critical stress is the same as tensile strength for this material. With information in (a) - (d), determine the maximum allowable internal crack length. ASum that the surface energy is 1 J/m.(15 points) (g) Estimate the maximum stress at the crack tip of this material if it is subjected to the cyclic stress test when the stress in (a) is applied. This crack has a tip radius of curvature of 0.004 mm and the internal crack length of 0.8 mm. (10 points)
0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
3. A square rod of 500 mm long with a width of 10 mm is subjected...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1-Determine the % elongation, yield stress and ultimate tensile strength of the material tested above 2-Calculate...

    1-Determine the % elongation, yield stress and ultimate tensile strength of the material tested above 2-Calculate the elastic modulus of the material tested above 3-If a 200mm cylindrical rod of the material tested above, with radius 20mm, was subjected to a tensile load of 200kN, what would the length be? 4-An underground wastewater steel pipe with 2mm walls carries an ammonia solution of 40 g/m3. The pipe is in contact with groundwater (assume 0 g/m3 ammonia). Determine the diffusion rate...

  • Question 2. (Total 18 marks) 350 350 300 300 Same plot, but with expanded x axis...

    Question 2. (Total 18 marks) 350 350 300 300 Same plot, but with expanded x axis 250 250 200 Stress (MPa) Stress (MPa) 150 $150 100 100 0 0 0 0.02 0.04 0.06 0.12 0.14 0.16 0.18 0 0.08 0.1 Strain 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.01 Strain (a) Determine the % elongation, yield stress and ultimate tensile strength of the material tested above (3 marks) (b) Calculate the elastic modulus of the material tested above...

  • Strength of material 2) An aluminum specimen with a defeet as shown having a thickness of 2 mm width 22 mm, the defeet has a hole of 4.S mm radius, the crack length is 12.5 mm from tip to tip the...

    Strength of material 2) An aluminum specimen with a defeet as shown having a thickness of 2 mm width 22 mm, the defeet has a hole of 4.S mm radius, the crack length is 12.5 mm from tip to tip the length of the specimen was 65 mm , this specimen is subjected to a tensile fore up to 6200 N, it fractured at s4s0 Find the ultimate stress. 10 marks 2) An aluminum specimen with a defeet as shown...

  • A plate 92 mm wide, 184 mm long, and 11.04 mm thick is loaded in tension...

    A plate 92 mm wide, 184 mm long, and 11.04 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below with the crack length of 147 mm. The material is steel with KC = 80 MPa (my(12) and Sy=950 MPa. 7.0 6.0 3.0 40 10 /b=05 1.0 2.0 10 02 0.6 0.8 w/braio Ignoring stress concentration, determine the maximum possible load that can be applied to the...

  • A large flat plate is subjected to a constant-stress-amplitude uniaxial cyclic tensile stress. Compute the surface crac...

    A large flat plate is subjected to a constant-stress-amplitude uniaxial cyclic tensile stress. Compute the surface crack length after 7.0x10 loading cycles. Assume the initial edge surface crack length of 1.80 mm and a maximum tensile stress of 160 MPa. The minimum tensile stress is 0, Assume m = 1.8 and A = 7.5×10-12 in MPa and meter units. Assume Y -1.25. A large flat plate is subjected to a constant-stress-amplitude uniaxial cyclic tensile stress. Compute the surface crack length...

  • Chapter 9 1. What is the magnitude of the maximum stress that exists at the tip of an internal cr...

    Chapter 9 1. What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 2.5 x 10-4 mm (10-5 in.) and a crack length of 2.5 x 10-2 mm (10-3 in.) when a tensile stress of 170 MPa (25,000 psi) is applied? 2. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 55 MPa m (50 ksi in.). If the plate is...

  • Stress Analysis 3. A 20-mm diameter rod made ofa ductile material with a yield strength of...

    Stress Analysis 3. A 20-mm diameter rod made ofa ductile material with a yield strength of 350 MPa is subjected to torque of 100 N.m and a bending moment of 150 N.m. An axial force is then gradually applied. Determine the value of force when the rod begins to yield. Solve the problem two ways using the (a) Tresca theory (Maximum shearing stress theory) and (b) von Mises theory (Maximum distortion energy theory) [12+12 points 3. A 20-mm diameter rod...

  • 1. State the difference between I and polycrystalline materials. Deformability of BCC and FCC met...

    1. State the difference between I and polycrystalline materials. Deformability of BCC and FCC metals. Strength and UTS of metals. 2. Determine the slip systems in BCC and FCC materials. Show the calculations that support your determinations. 3. Find the indices that represent the planes in the following cubic unit cell and show the X-Ray diffract-ability of the these planes in FCC and BCC structures: 4. A tensile specimen with a 12 mm initial diameter and 50 mm gauge length...

  • If the dislocation motions are prevented, what will be expected in terms of mechanical properties. (10...

    If the dislocation motions are prevented, what will be expected in terms of mechanical properties. (10 pts.). What is the magnitude of the maximum stress that exists at the tip of an internal crack having a radius of curvature of 3.5 x 10-4 mm and a crack length of 3.6 x 10-2 mm when a tensile stress of 190 MPa is applied? (10 pts.).

  • A plate 92 mm wide, 184 mm long, and 11.04 mm thick is loaded in tension...

    A plate 92 mm wide, 184 mm long, and 11.04 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below with the crack length of 14.7 mm. The material is steel with KC= 80 MPa (m)(1/2) and Sy=950 MPa 7.0 6,0 5.0 4.0 3.0 /b=0.5 1.0 20 LO 0 02 06 OX 04 w/bratio Ignoring stress concentration, determine the maximum possible load that can be applied to...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT