SITUATION. A steel plate ABCD of thickness t = 5mm is subjected to uniform stresses: x = 100 MPa 0% -60 MPa. E =200GPa, v= 1/3 a = 160mm and b = 200 mm Calculate the change in thickness (mm). -0.0023 mm 0.0023 mm = - 0.0045 mm O 0.0045 mm T Ł B AL C
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- Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.A rectangular steel block 250 mmx100 mmx80mm is subjected to axial loads as follows. 480 kN (tensile in direction of its length) 900 kN (tensile on 250mm x 80 mm faces) 1000kN (comp. on 250mm x100mm faces) taking E=200 GN/m2 and 1/m=0.25 find a). Change in dimensions (height, width and length) b). Change in volume of the block c). Volumetric Strain c). Values of N and K (Module of Rigidity and Bulk Modulus) for material of the block. d). Determine the volume difference if the temperature of block increased by 20K. (Take alpha steel = 11.7 x 10-6 / 0C ) e). Discuss the behavioral characteristic for given application Comparing the impact from given mechanical loadings and thermal loadings to the block.A steel pipe of length L = 4.0 ft, outside diameter = 6.0 in., and inside diameter = 4.5 in. is compressed by an axial force P kips. The material has modulus of elasticity E = 30,000 ksi and Poisson’s ratio υ = 0.30. Determine the following quantities for the pipe: (a) the shortening, (b) the lateral strain (c) the increase in the outer diameter and the increase in the inner diameter, and (d) the increase in the wall thickness. (Where P is equal to 51kips)
- A steel flat 10 cm wide and 2 cm thick is bent into a circular arc of 50m radius.Find the maximum intensity of stress induced. Take E = 2.05 * 10 ^ 5 N/mm².A brass (? =5.6 ? 10^6 ???) and aluminum (? = 3.7 ? 10^6 ???) cylinders are bonded together at B, and are attached to fixed supports A and C. Determine (a) The torsion in AB, (b) The torsion in BC, (c) The maximum shearing stress in AB (d) The maximum shearing stress in BC.A thin cylinder of length 2.5m and diameter 1.0 m is made from 3mm steel plates. Ifa gas is filled in the cylinder at a pressure of 750 kN/m2(gauge). Take E = 210 GPaand ν = 0.3 for steel, determine(i) the hoop stress and longitudinal stress in the wall of the cylinder(ii) the maximum shear stress in the plane of above two stresses(iii) change in diameter of cylinder due to the internal pressure of gas(iv) change in of the cylinder(v) change in volume of the cylinder
- Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. P = 10 kN a. What is the stress (MPa) in the Bronze material? b. What is the stress in Aluminum in MPa? c. What is the stress in Steel in MPa?Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. P = 10 kN a. What is the stress (MPa) in the Bronze material? b. What is the stress in Aluminum in MPa? c. What is the stress in Steel in MPa?A 1 meter long steel rod AB of 15-mm diameter is held snugly (without any initial stresses) between rigid walls by the arrangement shown in the figure. (STEEL ROD : E = 200 GPa , α= 12 x 10-6/°C , and yield strength σY = 250 MPa.) a) If the rod undergoes a temperature drop of 24°C, and the bolt at B is tightened causing the rod to elongate by 0.0566 mm, determine the bearing stress between the washer and the wall. b) Determine the amount of temperature drop that is allowed if the factor of safety against yieldingis 4.
- The rigid bar is pinned at A and supported by two aluminum rods, each having a diameter of 1 in. and a modulus of elasticity ??? = 10,000 ??? and ?????? = 29,000 ???. The allowable stress of aluminum is 7.8 ksi and steel is 1.7 ksi. If the bar initially vertical,a. Determine the maximum P that can be applied.b. Determine the deformation of steel.c. Determine the deformation of aluminum.Before the 400 kN load is applied, the rigid platform rests on two steel bara, each of cross sectional area 1400mm^2, as shown in the figure. The cross sectional area of the aluminum bar is 2800 mm^2, Use E=200 GPa for steel and E = 70 GPa for aluminum. NEGLECT the weight of the platform A.) Compute the stress in the aluminum bar in Mpa after the 400 kN load is applied Choices: 45.64,16.30,40.62,14.51 B.) Compute the stress in the steel bar in Mpa Choices: 68.03,95.24,128.35,126.56 C.) Compute the shortening of the steel bar in mm. Choices: 0.125,0.085,0.113,0.158Value of P1=9 kNP2=105 kNP3=89 kNd=159 mm Strength of Materials