A bar tapers from a diameter of 140 mm to a diameter of 80 mm over its length of 4 meters and is subjected to a tensile force of 25 KN. Then calculate the amount of elongation occurred, E = 2 x 10* N/mm2
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- A structural member with a rectangular cross section as shown in the accompanying figure is used to support a load of 2500 N. What type of material do you recommend be used to carry the load safely? Base your calculations on the yield strength and a factor of safety of 2.0.Two smooth spheres (each having weight W= 10 kN and radius r= 0.6 meters) rest in a thin‐walled circular cylinder (weight Q, radius R = 4r/3) as shown in Figure. Find the magnitude ofQ required to prevent the cylinder from falling over.A cylindrical tank of 10 mm thickness is filled with water that exerts an internal pressure of 3.0 MPa. Consider that the Poisson’s ratio is 0.30 and that the modulus of elasticity is 110 GPa. Calculate the change in diameter caused by the pressure of water if the inside diameter of the tank is 5.0 m.
- Consider a square-faced beam supporting a section of a building. a. Before installation, the length of the beam is found to be l0 = 15.04 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.95 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 36000 kg and has a side length d = 1.5 m. b. If we were to double the dimensions (length and width) of the beam, which of the following are correct. c. Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.The band in the figure below is stainless steel (coefficient of linear expansion = 17.3 ✕ 10−6°C−1; Young's modulus = 18 ✕ 1010 N/m2). It is essentially circular with an initial mean radius of 5.4 mm, a height of 4.4 mm, and a thickness of 0.51 mm. If the band just fits snugly over the tooth when heated to a temperature of 81°C, what is the tension in the band when it cools to a temperature of 37°C?Show complete solution with figures A rigid container having outside diameter of 30 mm and thickness of 5 mm contains water of height 700 mm.What will the column length be if a force of 5 kN is applied to its open end by a frictionless plunger? Assume noleakage. Use 2.2 GPa for bulk modulus of elasticity of water. a) 689 mm b) 525 mm c) 527 mm d) 695 mm e) None
- A copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. (refer to Table 4.1) (a) What will be the bulk strain of the copper rod if pressure is applied to reduce its volume to 0.00089 m3? (b) How much pressure was applied to the copper rod? (c) Calculate the percent change in volume of the copper rod.SOM 5. Show your complete solution. ( I know the answers but I need the detailed solution) Given answers: Deformation of AB = 0.121 mm Deformation of CD = 1.011 mm Vertical Displacement of E= 0.242 mmFor the built-up shape shown in the figure, determine: a. The elastic section modulus considering bending about the horizontal axis. (ANS 518 x 103mm3). b. The elastic section modulus considering bending about the vertical axis (ANS 133 x 103mm3). c. The plastic section modulus about the horizontal axis in x103 mm3 (ANS 572) d. The plastic section modulus about the vertical axis in x103 mm3.(ANS 0.20)
- Determine the mass moment of inertia of the figure shown about the x,y, and z axis. The materials weighs 60 kN/m³.1. If K = 2.2 GPa is the bulk modulus of elasticity for water, what pressure is required to reduce a volume by 0.6 percent? 2. A liquid is compressed. The change in pressure is 1000 psi. The change in density is 0.02%. What is the bulk modulus in psi? 3. The temperature of liquid water decreases from 80°C to 20°C. The percent change in absolute viscosity is ?The cross section of the rim of an iron flywheel (S+3) ft. In diameter is a triangle 12" by 3". How much does the rim weigh? Note: Iron weighs 450lb/cu ft. S=10