The steel pipe is filled with concrete and subjected to a compressive force of 75 kN. Determine the average normal stress in the concrete due to this loading. The pipe has an outer diameter of 60 mm and an inner diameter of 50 mm. E_s=200 GPa, E_c=24 GPa (A) 30.01 MPa B 10.73 MPa 7.45 MPa (D) 24.39 MPa
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- A vertical solid steel post of diameter ddd = 22 cmcm and length LLL = 3.00 mm is required to support a load of mass mmm = 8000 kgkg . You can ignore the weight of the post. a)What is the stress in the post? b)What is the strain in the post? c)What is the change in the post's length when the load is applied?A mass of 1 kgkg is attached to the end of a spring whose restoring force is 180 NmNm. The mass is in a medium that exerts a viscous resistance of 156 NN when the mass has a velocity of 6 msms. The viscous resistance is proportional to the speed of the object. Suppose the spring is stretched 0.07 mm beyond the its natural position and released. Let positive displacements indicate a stretched spring, and suppose that external vibrations act on the mass with a force of 7sin(3t)7sin(3t) NN at time tt seconds. Find an function to express the steady-state component of the object's displacement from the spring's natural position, in mm after tt seconds. (Note: This spring-mass system is not "hanging", so there is no gravitational force included in the model.)A mass of 1.75 kg is attached to the end of a spring whose restoring force is 100 N/m. The mass is in a medium that exerts a viscous resistance of 15 N when the mass has a velocity of 6 msms. The viscous resistance is proportional to the speed of the object.Suppose the spring is stretched 0.03 mm beyond the its natural position and released. Let positive displacements indicate a stretched spring, and suppose that external vibrations act on the mass with a force of 3sin(2t) NN at time tt seconds.Find an function to express the steady-state component of the object's displacement from the spring's natural position, in mm after tt seconds. (Note: This spring-mass system is not "hanging", so there is no gravitational force included in the model.) Enter exact value for the constants, or 8 decimal places. u(t) =
- A force of 4 pounds compresses a 15-inch spring a total of 4 inches. How much work is done in compressing the spring 5 inches?Use Hooke's Law to determine the variable force. Work doneAn anvil weighing 100kg falls a distance of 4.5 meters. What is the gravitational potential energy of the anvil?The centripetal acceleration of a particle moving in a circle is a = v2/r, where v is the velocity and r is the radius of the circle. Approximate the maximum percent error in measuring the acceleration due to errors of 3% in v and 2% in r
- As part of a larger project to study the behavior of stressed-skin panels, a structural component being used extensively in North America, an article reported on various mechanical properties of Scotch pine lumber specimens. Data on the modulus of elasticity (MPa) obtained 1 minute after loading in a certain configuration and 4 weeks after loading for the same lumber specimens is presented here. Observation 1 min 4 weeks Difference 1 10,460 9,190 1270 2 16,620 13,250 3370 3 17,300 14,720 2580 4 15,480 12,730 2750 5 12,930 10,120 2810 6 17,260 14,570 2690 7 13,400 11,220 2180 8 13,900 11,100 2800 9 13,630 11,420 2210 10 13,260 10,940 2320 11 14,370 12,110 2260 12 11,700 8,690 3010 13 15,470 12,590 2880 14 17,840 15,090 2750 15 14,060…A cube with 50-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the mass density of water is 1000 kg/m3.) Need help with Part B, thank you