20°C. For unyielding supports, find the stresses in the materials when the temperature rises to 50°C. For copper, E = 120 GPa and a = 18 x 106 °C. For brass, E = 90 GPa and a = 20 x 106 °C.
Q: A steel cable is used to lift a load W with the following given. weight W = 175 kN diameter = 30.03…
A:
Q: Q3/ The below figure illustrates the cross section of a column and its bracing details for both its…
A:
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A: Given : Modulus of rigidity = 25 G pa a = 4mm b = 300mm We know that shear stress = shear strain…
Q: A steel rod is stretched between two walls. At 20C, the tensile force in the rod is 5000 N. If the…
A:
Q: Question 3: a. A mass of (Z + 50) kg is hung on a steel wire of diameter (Z + 5) mm and the…
A: We are suppose to solve only one question. Please post other question as a separate question.
Q: Calculate the moment and axial load capacity of the circular column corresponding to the given…
A:
Q: Calculate the modulus of rigidity and bulk modulus of a cylindrical bar of diameter of 25 mm and of…
A: Given: Diameter , d= 25mm = 0.025 m Length , L=1.6m Paisson's ratio , μ=14 ∵ μ = Lateral…
Q: 1. A 150 inch long aluminum bar is subjected to a tensile stress of 25000 psi. Find the elongation.…
A:
Q: stress 37 ksi- strain in 0.002-
A:
Q: ed shear stress. Given: a = 1 mm, b = 100 mm and G = 25 GPa. Consider a linear elastic behavior.…
A: given:a=1mmb=100mmG=25Gpa
Q: Calculate the modulus of rigidity and bulk modulus of a cylindrical bar of diameter of 25 mm and of…
A: Relation between the lateral and the longitudinal strain is εl=4εd The poison's ratio is…
Q: t = 400 mm 250 mm 300 mm
A: given data: Px = 800 MPa; Py = 300 MPa; Pz = 500 MPa appear L=300; B=250; t=400 E = 75000 MPa…
Q: . Figure Q1(b) shows a steel structure with E = 210 GPa and v= 0.3 under combined loading. The…
A:
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A:
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A:
Q: The length of a wire increases from 1.25 m to 1.2508 m when a load of 12 kg is suspended. The radius…
A:
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A: given:a=4mmb=300mmG=25GPa
Q: A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 m is under…
A: Calculate the strain in the wire. ε=δll Here, l is the original length of the wire, δl is the change…
Q: Figure Q1(b) shows three rods that were assembled together and held between rigid supports. The…
A: Given data, T1 = Initial temperature = 20 °C T2 = Final temperature = 70 °C ∆T = Change in…
Q: A thick-walled cylinder with internal and external radii 86 mm and 166 mm respectively, is subject…
A: we have to determine the radial and hoop stress
Q: For the steel block (Length L = 5-meter, Width W = 1 meter, Height H = 1 meter) with compression…
A:
Q: Find the stresses in each direction, also find the change in volume of the block of dimension 120 mm…
A: The given values are - Dimensions 120×45×43 mm3Poisson's Ratio μ= 0.3E= 140 GPa=140×103 MNm2 Tensile…
Q: Q.1 A 2 m solid steel bar of diameter 100 mm is subjected to a axial tensile load of 100 kN. Find…
A: Given: The diameter of the shaft is, d=100 mm. The length of the steel shaft is, l=2 m. The value…
Q: Consider a cylindrical specimen of a steel alloy (see figure below) 15.0 mm in diameter and 75 mm…
A: Given:d=15 mmL=75 mmP=20,000 N
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A:
Q: 2. An alloy bar 2 m long is held between two supports. Find the stresses developed in the bar, when…
A: Dear student, According to the guidelines I am allowed to answer only one…
Q: A material having a shear modulus G, is deformed under a pure shean stress as shown in the following…
A:
Q: A 150 inch long aluminum bar is subjected to a tensile stress of 25000 psi. Find the elongation. (E…
A:
Q: A cylindrical rod of an isotropic material with a diameter (d0) of 16 mm is loaded with a 5,700 N…
A:
Q: The principal strains in a plane, measured experimentally at a point on the aluminum fuselage of a…
A: Write down the given value using suitable variables. Here ε1 and ε2 signify principal plane…
Q: A steel wire 30 ft long, hanging vertically, supports a load of 500 lbf. Neglecting the weight of…
A: Given- Load=500 lbf = 2224.11 NStress (σ) = 20,000 psi = 137.9 MPaThe elongation in the bar is zero,…
Q: A cylindrical bar made of brittle material has been subjected to pure torsion by a torque M and…
A:
Q: A circle of 250 mm diameter is scribed on a steel plate. The plate is subjected to a tensile stress…
A:
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A:
Q: (a) The stress in bar (1) and bar (2). (b) The load P. (c) The displacement at point A.
A: Given: E1= 100 GPa A1= 520 mm2 E2=70 GPa A2= 960 mm2 F2= 30 kN To determine: The stress in bar 1…
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A:
Q: Find the value of strain stress 30 MPa Modulus of elasticity=65 MPa
A: Given data : Stress σ=30 MPa Modulus of elasticity E=65 MPa To find : Strain
Q: 4(a) A solid circular bar is experiencing axial load F=3 kN as in Figure 4(a). Find the strain…
A: Note- As per our guidelines we are supposed to answer only one question. Kindly repost other…
Q: An element that has Young's modulus is E=70GPA, the Poisson's ratio is v=0.33 and yield stress Y =…
A:
Q: A bar produces a lateral strain of magnitude 60x105 m/m when subjected to a tensile stress of…
A:
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A: Given, a= 1mm, b= 200mm and G=25GPa
Q: Question 1. A rod is 3 m long at a temperature of 15°C. Find the expansion of the rod, when the…
A:
Q: Find the value of strain stress=30 MPa Modulus of elasticity=65 MPa
A: The value of Strain is ε = 0.4615.
Q: 1. A 150 inch long aluminum bar is subjected to a tensile stress of 25000 psi. Find the elongation.…
A:
Q: Q1: A circular steel rod ABCD is loaded as shown below. Use the following data to Find the maximum…
A: The load in the bar CD is The load in the bar BC is The load in the bar AB is
Q: Find the stresses in each direction, also find the change in volume of the block of dimension 125 mm…
A:
Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…
A: a= 1 mm b=200 mm G=1.5 GPa
Q: 250 mm Q1: The beam shown in Figure 1 is subjected to a vertical force Pv and a horizontal force Pr…
A:
Q: Show the derivation of the girth and longitudinal stresses of the thin-walled cylindrical container…
A: Diameter = d Length = l Thickness = t Internal pressure = p
Q: A shaft with a cylindrical cross - section is subjected at the same time to a torsional torque T =…
A:
Step by step
Solved in 2 steps with 2 images
- (a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressureA hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?A solid circular steel cylinder S is encased in a hollow circular aluminum tube A. The cylinder and tube are compressed between the rigid plates of a testing machine which applies forces P. Calculate the allowable value of the compressive force if the yield stresses of sleel and aluminum are srs = 50 Ksi and ??A= 60 ksi, respectively. Assume that As= 12 in2. AA= 6 in2. L = 20 in., Es= 29,000 tsi and EA=10,600 ksi
- An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm and compressive strains E = 690 X l0-6 and = = 255 X 10-6. For part (c) of Problem 7.6-5. find the maximum value of cr when the change in volume must be limited to 0.11%. For part. find the required value of when the strain energy must be 33 J.A hollow circular tube T of a length L = 15 in. is uniformly compressed by a force P acting through a rigid plate (see figure). The outside and inside diameters of the tube are 3.0 and 2.75 in., respectively. A concentric solid circular bar B of 1.5 in. diameter is mounted inside the lube. When no load is present, there is a clearance c = 0.0I0 in. between the bar B and the rigid plate. Both bar and tube are made of steel having an c[autoplastic stress-strain diagram with E = 29 X LO3 ksi and err= 36 ksi. (a) Determine the yield load Pt- and the corresponding shortening 3yof the lube. (b) Determine the plastic load Ppand the corresponding shortening Spof the tube. (c) Construct a load-displacement diagram showing the load Pas ordinate and the shortening 5 of the tube as abscissa. Hint: The load-displacement diagram is not a single straight line in the region 0 ^ P ^ Pr
- 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?A long, rectangular copper bar under a tensile load P hangs from a pin that is supported by two steel posts (see figure). The copper bar has a length of 2.0 m, a cross-sectional area of4S00 mm", and a modulus of elasticity Ec= 120 GPa. Each steel post has a height of 0.5 m, a cross-sectional area of 4500 mm2, and a modulus of elasticity E = 200 GRa. (a) Determine the downward displacementSolve 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 W 8 × 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion a = 6.5 ×10-6 /?. If the temperature of the beam is raised uniformly by an amount AT = 20°F, calculate the thermal stress aTin the beam.Around brass bar of a diameter d1= 20mm has upset ends each with a diameter d2= 26 mm (see figure). The lengths of the segments of the bar are L1= 0.3 m and L2= 0.1 m. Quarter-circular fillets are used at the shoulders of the bar, and the modulus of elasticity of the brass is E = 100 GPa. If the bar lengthens by 0.12 mm under a tensile load P, what is the maximum stress ??maxin the bar?A trimetallic bar is uniformly compressed by an axial force P = 9 kips applied through a rigid end plate (see figure}. The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has a diameter of L.25 i n., the brass tube has an outer diameter of 1.75 in., and the copper tube has an outer diameter of 2.25 in. The corresponding modulus of elasticity are f, = 30, 000 ksi, Eb= 16,000 ksi, and E = 18,000 ksi Calculate the compressive stresses ers, ab, and cin the steel, brass, and copper, respectively, due to the force P.