Q.1: Ifa material is cast iron (ultimate tensile strength = 300 Mpa, ultimate compressive strength - 900 Mpa) and the stress state at a point is shown in Fig. 1. Using a graphical method, find safety factor against static failure using 100 Mpa (a) Rankine failure theory (b) Coloumb - Mohr theory (c) Modified Coloumb - Mohr theory 50 Mpa 20 Mga
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Q: 2. A spherical stainless-steel tank having an inner diameter 'D', is used to store natural gas at a…
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Q: 13. For a given material, Young's modulus is 110 GN/m² and shear modulus is 42 GN/m2. Find the bulk…
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Q: H.W. Theories Of Failure A cylindrical shaft made of steel of yield strength ôy MPa is subjected to…
A: Given: Yield strength= δyBending moment=M KN.mPower=P KWr.p.m.=NFactor of safety=F.S.E=210…
Q: 2. Using maximum shear stress theory (MSS) the factor of safety for ductile material with Sy=220…
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Q: 3. If the ultimate shear strength of steel plate is 45,000 psi, what force is necessary to punch a…
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Q: A cylindrical steel tank is manufactured based on the following data: internal pressure: 36MPa…
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Q: pressure vessel 300 mm in diameter has a uniform thickness of 6 mm. The vessel contain gas under…
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Q: Yielding starts in a material when the princip stresses are 100 MPa, 100 MPa and 200 MPa. F per the…
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Q: A spherical stainless-steel tank having an inner diameter ‘D’, is used to store natural gas at a…
A: given data D = 620 mm P =25 MPa Tensile stress =1000 MPa Shear stress = 440 MPa modulus of…
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A: Given:σx=10 ksiσy=-5 ksiτxy=15 ksiSyt=50 ksiSyc=90 ksi
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A: Given data: Ultimate strength Sut = 1600 MPa Stress amplitude σa = 900 MPa First we calculate the…
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A: Draw the Mohr circle indicating the resultant stress on the plane. Write the expression for the…
Q: A construction worker punched a bamb00 wall (the wall has a shearing strength of 241 MPa). His hand…
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Q: Q3) The figure below simplified a load-elongation diagram of a tensile test for low carbon steel…
A: Solution: Yield point is the point on the stress vs strain or the load vs elongation curve where a…
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Q: Problem 1·16 At a point in a structural member subjected to plane stress, the state of stress is :…
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Q: 1- Rankin's theory of failure is applicable for following type of materials (a) Brittle (b) ductile…
A: Only one question is allowed to solve.
Q: The part shown is loaded at point C with 290 N in the positive x direction and at point E with 200 N…
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Q: For the slope shown in the figure below, assume the following data: W=3600 kN/m, r=15 m, d = 3.3 m,…
A: Given data: The magnitude of the load W is W = 3600 kN/m. The value of r is r = 15 m. The value of…
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Q: Use the von Mises failure criterion to solve for the minimum required yield stress if a factor of…
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Q: A spherical pressure vessel 400-mm in diameter has a uniform thickness of 6 mm. The vessel contain…
A: To Find : The Factor of safety with respect to tensile failure . Given : The diameter is D=400 mm.…
Q: bar of dimension 120 mm x 50 mm x 40 mm, is subjected to an axial pull of 50 kN. The measured…
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Q: The relation between maximum utilizable values obtained by tension test and pure shear test for…
A: Maximum shear stress theory is primarily applicable for ductile materials. It is required to…
Q: Given a steel with an ultimate Stress of 90 ksi, and an endurance limit(Se) of 45 ksi calculate the…
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Q: Figure Q1(b) shows three rods that were assembled together and held between rigid supports. The…
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Q: A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for…
A: Answer: (a) The stress ratio, the stress amplitude and mean stress: R = -1 σa = 213 MPa σm = 0 MPa…
Q: Example (1): A specimen of steel bar 25mm in diameter and 200mm long (gauge Length) has an extension…
A: Specimen diameter d=25 mmL=200 mmExtension x=.16 mmLoad P=80 KNa Elastic limit stressElastic load…
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- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .A tensile test was conducted on a mild steel& the following data was obtained as follows. Diameter of the steel bar = 3 cm,Gauge length of the bar = 20 cm. Load at elastic limit = 250 kN . Extension at a load of 150kN = 0.21 mm . Maximum load = 380 kN . Total extension = 60 mm . Diameter of the rod at failure = 2. 25 cm Determine: (a) Young’s modulus (b) stress at elastic limit (c)the percentage of elongation (d) Percentage decrease in area.
- 2. Another cylindrical component is madeof Enfennering ceramic Al203 but with different dimensions. Here, l=30 cm and the diameter is 4 cm. Assume the same Weibull modulus of 9. Calculate the level of the tensile strength for the following probability of failures: a. Pr (V) = 0.1 b. Pr (Vo) = 0.01 c. What is the survival probability and the failure probability of this component if a stress of 200 MPa is applied?Example: Convert the change in length data in Table 3-2 to engineering stress and strain and plot a stress-strain curve Homework- help Table 3-2 The results of a tensile test of a 0.505 in. diameter aluminum alloy test bar, initial length (1o) = 2 in. Calculated LTO Load (Ib) Change in Length (in.) Stress (psi) Strain (in./in.) 0.000 1000 0.001 0.0005 4,993 14,978 24,963 34,948 37,445 39,442 39,941 39,691 37,944 3000 0.003 0.0015 5000 0.005 0.0025 7000 0.007 0.0035 7500 0.030 0.0150 7900 0.080 0.0400 8000 (maximum load) 0.120 0.0600 7950 0.160 0.0800 7600 (fracture) 0.205 0.10252. Ten point load tests are carried out on cylindrical specimens of a sedimentary rock with 30 mm diameter, as shown in the figure. 50 mm The failure loads of these tests are equal to: 3.2, 4.1, 3, 3.8, 2.9, 4.2, 3.5, 3.6, 3.5 and 4 kiloNewtons. Determine Iso) of this rock. Predict the uniaxial compressive strength of this rock.
- At a point in a bar of cast iron, the principal stresses are 60 MPa tensile and 120 MPa compressive whereas the third principal stress is zero. Find the factorsof safety based on the elastic limit when the criterion of failure is principal stress theory. Assume the elasticlimit of cast iron is 90 MPa in tension and 440 MPa in compression2. In the stress-strain curve for steel shown below, identify following stresses in ksi and write their values in the space below: 2.1. Yield Point: ksi 2.2. Ultimate Tensile Strength: ksi 60- 400 350 50 300 E 40 250 30 200 150 20 100- 10 50 0. Strain, in/in or m/m J stv A Aa Stress, MPa Stress, ksi(d) Define Modulus of Resilience 2. Draw the stress-strain diagram for a typical ductile material and locate the salient points onit 3. A bar of 25 mm diameter is tested in tension. It is observed that when a load of 60 kN is applied, the measured over a gauge length of 200 mm is 0.12 mm and contraction in diameter is 0.0045 mm. Find Poissa 4. A circular rod of diameter 16 mm and 500 mm long is subjected to a tensile force 40 kN. The modulus of e steel may be taken as 200 kN/mm?. Find the elongation and strainin the bar due to applied load. 5. Define (a) Resilience (b) Proof resilience PART -B structions: Part B consists of 3 Units. Answer any one full question from each unit. Each questioncarries 8 marks and may have su 1. A steel circular bar has three segments as shown in the fig. Determine the total elongation ofthe bar. Take E = 210 GPa. 300 kNI 330 kN 30 mm 50KN 15 mm 20 mm 80 kN A + 150 mm 200 mm 250 mm B. D (OR)
- Determine the strength of the bedrock granite. Assume you sampled the granite where it was exposed at the surface and ran a series of 4 triaxial compression tests (results given below). Determine the Coloumb coefficient (or friction angle) and the cohesion of the rock given these test results. Either use graph paper to draw Mohr’s circles and a failure envelope to help you determine these values or use the computer to make a plot. Show all your work for credit! Test Confining pressure Axial load at failure 1 4.5 MPa 35.5 MPa 2 9 MPa 50 MPa 3 17 MPa 73 MPa…A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lb - in. per foot without suffering permanent deformation. 4.46x106 3.71x106 5.57x106 2.97x106 1.86x1061. A part made of Aluminum 6061-T6 has a yield strength = 400 MPa. For each stress state below, draw all 3 Mohr's circles, find the principal stresses, and calculate the safety factor against yield using both the distortion-energy (von Mises) and maximum shear stress (Tresca) criterions. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?