A square iron beam, 1.2 m long built in at it ends, is subjected to a point load of 100 kg at the center of the beam. The maximum allowable deflection of the beam is limited to 1.2 mm. If the iron beam is replaced with a square composite beam calculate:
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- Copper beam AB has circular cross section with a radius of 0.25 in. and length L = 3 ft. The beam is subjected to a uniformly distributed load w = 3.5 lb/ft. Calculate the required load P at joint B so that the total deflection at joint B is zero. Assume that£ = 16,000 ksi.A gold-alloy microbeam attached to a silicon wafer behaves like a cantilever beam subjected to a uniform load (see figure). The beam has a length L = 27.5 m and rectangular cross section of a width b = 4.0 m and thickness t = 0.88 m. The total load on the beam is 17.2 N. If the deflection at the end of the beam is 2.46 m is what is the modulus of elasticity Egof the gold alloy? (Use the formulas of Example 9-2.)A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.
- A simple beam AB of length L and height h (see figure) is heated in such a manner that the temperature difference 7= T{between the bottom and top of the beam is proportional to the distance from support A: that is, assume the temperature difference varies linearly along the beam: T2- Tt= Tax in which 7"0 is a constant having units of temperature (degrees) per unit distance. Determine the maximum deflection SW9Xof the beam, Repeat for a quadratic temperature variation along the beam, so T2+T1= TaxDetermine the maximum deflection of a simply supported beam carrying a hydraulic cylinder in a machine used to press bushings into a casting as shown in the figure. The force exerted during the pressing operation in 45 kN. The beam is rectangular, 35 mm thick and 150 mm high, and made of steel (E = 207 Gpa).If a cantilever beam (one end fixed and other end free) has a cross section of 4 mm x 4 mm and a span length of 10 cm has an end load of 70 N, what would be the slope (θ) of the beam in degrees? Modulus of elasticity is given as 70 GPa.
- Our University wants to construct a swimming pool inside the campus, for which they are in need of a diving board which must be one end fixed and other is free. That is to be made up of flexible composite material. The maximum allowable load at free end is 700 kN. The length of the cantilever beam is 1.6 m. The cross section of the beam is a hollow rectangular section. Outer rectangle of size 140 mm breadth and 110 mm depth with the overall wall thickness of 12 mm. Find the deflection at the free end and maximum slope in beam by neglecting self-weight of the diving board. Take E as 170 GPa.A cantiliver of length 20 m is subjected to a point load of 35 kN and a moment of 40 kN m at its free end. The cross section of the beam is squar and its sides are 2 m and young's modulus is 280 GPa. Calculate the deflection of the beam.A cantilever beam having 3 kN / m of UDL load over its entire length. The length of the beam is 5 m. The inertia and elastic constant are 0.0034 m^4 and 210 GPa. Determine the maximum deflection in the beam.
- A cantilever 8m long carries a uniformly distributed load of 12kN/m from midspan to free end. Determine the deflection at the free end, Find the smallest moment of inertia (in x10^6 mm^4) so that its maximum deflection does not exceed the limit of 1/360 of the span. Use E = 70 GPa. Determine the required depth of beam if it is a rectangular section with width-to-depth ratio of 0.5.A cross section of a prestressed bonded beam is reinforced by prestressing tendons having a total area of 925 sq.mm. Specified yield strength of prestressing tendon is 1610.75MPa. Specified tensile strength of prestressing tendon is 1895MPa. And specified compressive strength of concrete of 34.6 MPa. The beam has a width of 300mm and a total depth of 600mm. Distance from the extreme compression fiber to the centroid of prestressing tendon is 490 mm, Pi=1387.5 KN , R=0.8 and Eps=196 GPa a. What is the increased strain corresponding to the decompression of concrete at the level of the steel centroid? b.Using modified strain compatibility analysis, what is the total steel strain? c. Using modified strain compatibility analysis, what is the total steel strain? d. What is the stress in the prestressed reinforcement at nominal strength, fps, using modified strain compatibility analysis? e. What is compressive force on concrete using fps, modified strain compatibility analysis?A cross section of a prestressed bonded beam is reinforced by prestressing tendons having a total area of 925 sq.mm. Specified yield strength of prestressing tendon is 1610.75MPa. Specified tensile strength of prestressing tendon is 1895MPa. And specified compressive strength of concrete of 34.6 MPa. The beam has a width of 300mm and a total depth of 600mm. Distance from the extreme compression fiber to the centroid of prestressing tendon is 490 mm, Pi=1387.5 KN , R=0.8 and Eps=196 GPa 1. What is the strain resulting from the application of the effective prestressing force? 2. What is the increased strain corresponding to the decompression of concrete at the level of the steel centroid? 3. Using the stress strain graph below, what is the total steel strain for fps equal to 1689.275 MPa? 4. Using modified strain compatibility analysis, what is the total steel strain? 5. What is the stress in the prestressed reinforcement at nominal strength, fps, using modified strain compatibility…