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- 7. A 6.0 m cylindrical steel beam 3.50 cm in diameter supports an overhead walkway. The beam is designed to not stretch more than 5.0 x 10-5 m. What is the maximum load that the beam can withstand? If we assume an average mass of a person to be 75.0 kg, could the walkway support two people? Y steel = 20 x 101º N/m?A rectangular steel column (20.0 cm x 15.0 cm) supports a load of 12.0 metric tons. If the column is 2.00 m in length before being stressed, what is the decrease in length?A vertical steel beam in a building supports a load of 6.0 x 104 N. a) If the length of the beam is 4.0 m and its cross-sectional area is 8.0 x 10-3 m2, find the distance the beam is compressed along its length. (b) What maximum load in newtons could the steel beam support before failing?
- A 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14 GPa, what must be the minimum radius of the cylinder in order for it to support the load?A steel wire, 3.0 m long, has a diameter of 1.0 mm. If a 10 kg load is hung from the wire how far will it stretch? Young's modulus for steel is 2.0 × 10^11 paAn 800Kg lift is suspended by a steel cable whose allowable stress is 1.2x10^8N/m^2. What is the minimum cable diameter required if the elevator accelerates upwards at a rate of 1.5 m/s^2
- A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a cross sectional area of 7.7 × 10–4 m2. A safety factor of 4 applies and the maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks. Young’s Modulus (E ) of a bone at room temperature is 15 × 109 Pa. How much will it compress to support a weight of 1.2 × 105 N?a diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a width of 34cm and a height of 6cm. If the shear modulus of the board is 2 x 10^6 Pa, what is the length of the board?A short timber post of rectangular section has one side twice the other.It contracts by 0.05 cm/m. When loaded axially by 10kN, calculate thesections dimension of the post. E= 0.1x105 N/mm^2
- The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a vertical mounting and a 200 kg load is hang from its lower end. The diameter of the wire is 0.50 cm. What would be the outcome of this set up?A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the valueof the modulus of elasticity (E) for steel is 200 GPa, what is the stress developed in the steelbar?6. A steel beam is placed vertically in the basement of a building to keep the floor above from sagging. The load on the beam is 5.8*104 N, the length of the beam is 2.6 m, and the cross-sectional area of the beam is 7.1*10-3 m2. Find the vertical compression of the beam if the Young's modulus of steel is 2.00*1011 N/m2