The steel propeller shaft ABCD carries the axial loads shown. Determine the change in length of the shaft caused by these loads.
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The cross section of the 10-m-long flat steel bar AB has a constant thickness of 20mm, but its width varies as shown in the figure. Calculate the elongation of the bar due to the 100-kN axial load. Use E=200GPa for steel.
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Determine the elongation of the tapered cylindrical aluminum bar caused by the 30-kN axial load. Use E = 72GPa.
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Determine the axial deformation in the steel rod.
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A rigid bar AB is supported at its ends by an aluminum and steel rod, respectively, at the left and right supports, respectively. If the bar weighs 10kN and given the following properties:
Aluminum: E=100GPa, d=20mm, L=2m
Steel: E=200GPa, d=25mm, L=2m
Determine the following:
a. What is the axial deformation in the steel rod and the aluminum rod?
b. What is the vertical movement at the midpoint of the bar?
c. What must be the diameter of the aluminum rod so that the bar remains level?
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The rigid bar BC is supported by the steel rod AC of cross-sectional area 0.25in2. Find the vertical displacement of point C caused by the 2000-lb load. Use E=29x106psi for steel.
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An 8mm diameter steel rod, 20m. long, supports a 10kN weight. If the unit weight of steel is 77kN/m3,
a. Calculate the total deformation of the rod.
b. Calculate the maximum tensile stress in the rod.
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The reinforcing steel bar for concrete has a yield stress of 275MPa. Since the modulus of elasticity of steel is 200GPa, determine the yield strain of steel. How much tensile force is needed to make the steel yield if the steel bar is 12mm in diameter and 3m long?
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The steel rod is placed inside the copper tube, the length of each being exactly 15in. If the assembly is compressed by 0.0075in., determine the stress in each component and the applied force P. The moduli of elasticity are 29x106psi for steel and 17x106psi for copper. The diameter of the steel rod is 0.6in. The inner diameter of the copper tube is 0.75in and its thickness is 0.125in.
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The rigid bar ABC is hinged at A and supported by a steel rod at B. Determine the largest load P (kN) that can be applied at C if the stress in the steel rod is limited to 208 MPa and the vertical movement of end C must not exceed 2.5mm.
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A uniform concrete slab of total weight W is to be attached to two rods whose lower ends are on the same level. Determine the ratio of the areas of the rods (aluminum to steel) so that the slab will remain level.
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The rigid bar AB is supported by two rods made of the same material. If the bar is horizontal before the load P is applied, find the distance x that locates the position where P must act if the bar is to remain horizontal. Neglect the weight of bar AB.
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