Question 9. 8. A piece of copper having a rectangular cross-section of 15.2 mm x 19.1 mm is pulled in tension with 44,500 N force, producing only elastic deformation. Calculate the resulting strain? Shear modulus of elasticity of copper is 42 x 10° N/m².
Q: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000 N along the top…
A: Length=0.5m Shear force=5000N Shear constant=8.3×10^10N/m2 Shearing angle=?
Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1100 kg object is…
A: a) Determine the shear stress of the rod.
Q: A copper (shear modulus 4.2 x 1010 N/m²) cube, 0.442 m on a side, is subjected to two shearing…
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Q: a) Sketch a stress-strain diagram for a metal indicating the proportional limit, yield point,…
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Q: A rectangular bar of length L has a slot in the central half of its length. The bar has width b,…
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Q: A cylindrical specimen of some metal alloy of 8.5 mm in diameter is stressed elastically in tension.…
A: Given T = 15700 N. D = 8.5 mm = 0.0085 m ∆D = 5.3*10-3mm
Q: A horizontal aluminum rod 2.9 cm in diameter projects 7.2 cm from a wall. A 950 kg object is…
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Q: A beam having the cross section shown is subjected to a vertical shear V. NOTE: This is a multi-part…
A: Consider the distance y from the bottom end where the shear stress is maximum. As shown in the…
Q: A shear force of 350 N is applied to one face of an aluminum cube with sides of 30 cm while the…
A: Given : Force F = 350N Side S = 30cm =0.3m The shear modulus for…
Q: If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper wire can…
A: Given- If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper…
Q: Four identical hollow cylindrical columns of mild steel support a big structure of mass 50,000 kg.…
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Q: The bonded single lap joint shown below has a width, w = 97 mm and an overlap length, I = 28 mm. =…
A: Given that: Overlap length I = 28 mm Thickness h = 1.1 mmwidth w=97 mmTensile load F=4385 NShear…
Q: A steel bar is stresses to 250 MPa. The modulus of elasticity is 250 GPa. The bar is 80 mm diameter…
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Q: Problem 3: The rectangular bars shows are in tension and are joined together by two bolts as shown.…
A: Given rectangular bars having joined by two bolts given the bolts have diameter d of 38inch and…
Q: The figure shows the stress-strain curve for a material. The scale for the stress axis is set by s =…
A: Given, Stress, S=300×106N/m2 Strain, s=0.004 The young's modulus,…
Q: A 2 m long steel rod has a cross-sectional area of 0.3 cm?. The rod is a part of a vertical support…
A: The stress of the rod is given by F/A Strain is given by dL/L where F= Force…
Q: If the applied load is 49 kN, determine the new diameter of the specimen.
A: Given:- G = 28 Gpa diameter of specimen = 12.5mm Gauge length = 50 mm Given diagram:-…
Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…
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Q: Nylon strips are fused to glass plates. When moderately heated the nylon will become soft while the…
A: Given data: Observe from the diagram, Total displacement of layers D = 2 mm Height of stripe L = 5…
Q: A solid steel rod with a length of 2 meters and a cross-sectional area of 0.02 square meters is…
A: Stress and strain are used to characterize how a material deforms under external forces.Stress is a…
Q: A wire of uniform cross sectional area of 0.25 mm2 is stretched at both ends by a total force of 65…
A: Given data The cross-sectional area is given as Ac = 0.25 mm2. The total force at both ends is…
Q: A solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to…
A: Write the given values with the suitable variables. L1=86.9 cmL2=86 cmk=1.4×1011 N/m2 Here, L2, L1,…
Q: When the material enters the region of the stress-strain curve, the material is no longer able to go…
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Q: A wire of uniform cross sectional area of 0.15 mm2 is stretched at both ends by a total force of 40…
A: Given, Area of cross section of the wire A = 0.15 mm2 Total force acting on the both end F = 40 N…
Q: A horizontal aluminum rod 3.6 cm in diameter projects 5.6 cm from a wall. A 1000 kg object is…
A: Given:- A horizontal aluminum rod of diameter d = 3.6 cm = 0.036 m The distance from the wall is L…
Q: The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150…
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Q: A structural steel bar with a 3.6 in. x 0.890 in. rectangular cross section is subjected to a…
A:
Q: A copper (shear modulus 4.2 x 1010 N/m²) cube, 0.450 m on a side, is subjected to two shearing…
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Q: Polymer in the form of a cylinder with a length of 100 mm and a diameter of 5 mm. If a load is…
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Q: PROBLEM 4. A piece of rubber, which was originally a square shape, has been deformed into a shape…
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Q: A square steel plate has area Im² and thickness 5 cm. The bottom edge is fixed. A tangential force…
A: Shear modulus, also known as Modulus of rigidity, is the ratio of shear stress to shear strain that…
Q: A cubic marshmallow is 3 cm on each side sitting in a room at atmospheric pressure (1.01x105 Pa).…
A: Original side of cube is Pressure is The new side of cube is The pressure at which volume expands is…
Q: A horizontal aluminum rod 3.0 cm in diameter projects 3.9 cm from a wall. A 870 kg object is…
A: Given:- Diamtere of the rod = 3.0 cm The radius of the rod is = 3/2=1.5 cm =1.5 X 10-2 m Length of…
Q: The bulk modulus of K, modulus of elasticity E and Poisson's ratio is then which of m the following…
A: The relation between the bulk modulus(K), modulus of Elasticity(E) and the Poisson's ratio(ν) is…
Q: What shear stress is needed to produce a shear strain of 2.50 x 105 on an aluminum block?
A: Given data: Shear strain of Aluminum block is, εs=2.50×10-5.
Q: Ex. 13: A cube of side 5 cm each whose upper face is displaced by 0.65 cm due to a force of 0.25 N.…
A: We need to compute-(i) Shearing stress=?(ii) Shearing strain=?(iii) Modulus of rigidity=?The data…
Q: A metal bar’s dimensions are 1 in x 2 in. If the bar has a modulus of elasticity of 4.14x10^9 Pa,…
A: Given Initial lenth is 15 in Final lenth = 15.25 in Dimensions = 1*2 in E = 4.14*10⁹ pa concept…
Q: For a brass alloy, the stress at which plastic deformation begins is 350 MPa, and the modulus of…
A: Solution: Given that Plastic strentgh = 350 MPa E = 103 GPa
Q: A sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N.…
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- A wire of uniform cross sectional area of 0.45 mm2 is stretched at both ends by a total force of 65 N and the strain produced by the wire is 1 × 10–2 m. Calculate the Young modulus of the material of the wire.For a bronze alloy, the stress at which plastic deformation begins is 295 MPa and the modulus of elasticity (E) is 108 GPa. (a) What is the maximum load (Fy) that can be applied to a specimen having a cross-sectional area of 317 mm² without plastic deformation? (b) If the original specimen length is 121 mm, what is the maximum length to which it may be stretched without causing plastic deformation?A horizontal aluminium rod 4.8 cm in diameter projects 5.3 cm from a wall. A 1200 kg object is suspended from the end of the rod. The shear modulus of aluminum is 3.0 x 1010 N/m2. Neglecting the rod's mass, find (a) the shear stress on the rod and (b) the vertical deflection of the end of the rod.
- A square steel plate has area 1m2 and thickness 5 cm. The bottom edge is fixed. A tangential force applied to top surface displace it through 0.005 cm. Find shearing stress, shearing strain, if the modulus of rigidity of steel is 4.2 x 106 N/m2A solid copper cube has an edge length of 81.9 cm. How much stress must be applied to the cube to reduce the edge length to 81 cm? The bulk modulus of copper is 1.4 x 1011 N/m2.Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Suppose that such a particular disc of cartilage has a a radius of 3.118 cm (100cm = 1 meter) and a thickness of 6.877 mm (1000mm= 1meter). The shear modulus of cartilage is 1.2 × 107 N/m2. Suppose that a shearing force of magnitude 9 N is applied parallel to the top surface of the disc while the bottom surface remains fixed in place. How far does the top surface move relative to the bottom surface in microns (1 meter = 106 microns)?
- A torsion test shows that the shear modulus of an aluminum specimen is 4.60 x 10^6 psi. When the same specimen is used in a tensile test, the modulus of elasticity is found to be 12.2 x 10^6 psi. Find Poisson’s ratio for the specimen.The face of an aluminum plate, which is fixed in place, measures 90 cm by 90 cm. The thickness of the plate is 6 cm. A force parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is 3.0 × 10^10 Pa. Find the displacement of the upper force.A metal wire with an elastic modulus of 0.05 Ggf mm-2 has a length of 7.5’. It has a circular geometry. Assuming it is in the elastic region. Determine the strain, stress, cross-sectional area and the minimum diameter if the rod must hold a 40 lbf tensile force without deforming more than 0.08”. Express your answers in SI units.
- if Vf=0.8 (volume fraction fiber) longitudinal modulus=? poisson's ratio=? in-plane shear stress=?A plate situated at distance of 7 mm from a fixed plate is moving at velocity of 4 m/s. The gap between the plates is filled with oil with density of 800 kg/m³ and kinematic viscosity of 1,25-10-4 m²/s. What is the shear stress on the surfaces? Round off the answer to an integer in Pa, but enter the answer without the unit. Answer:A structural steel bar with a 3.6 in. x 0.890 in. rectangular cross section is subjected to a tensile axial load of 54 kips. Determine the maximum normal and shear stresses in the bar. Answer: Omax i ! ksi %3D Tmax = i ksi