A population of cardinals grew geometrically during a 5-ye…
A population of cardinals grew geometrically during a 5-year period. During this period, the annual rate of increase equaled two (λ = 2). If the population consisted of 20 individuals at the beginning of year 1, what was the size of the population at the beginning of year 5?
Read DetailsA 37 year old female presents to the office complianing of f…
A 37 year old female presents to the office complianing of feeling cold all the time, constipation, fatigue and a missed period. On exam you note thinning hair, decreased deep tendon reflexes and bradycardia. A serum pregnany test is negative and her fasting glucose is 84. What is the likely cause of her symptoms?
Read DetailsA pipeline with an outside diameter of 500 mm and a wall thi…
A pipeline with an outside diameter of 500 mm and a wall thickness of 10 mm is pressurized to 1.8 MPa. Due to thermal expansion, a compressive force of 34 kN is generated along the length of the pipes. Determine the normal stress along the length of the pipes. Ignore the bending stresses due to the weight of the pipes and the fluid that they contain.
Read DetailsA rectangular beam has a cross section of b = 16 in., h = 26…
A rectangular beam has a cross section of b = 16 in., h = 26 in., and d = 23.5 in. It is reinforced with five No. 8 Grade 60 bars. The concrete strength is 3,700 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the assumed modulus of elasticity of the concrete, Ec.
Read DetailsA tank with an inside diameter of 370 mm, a length of 885 mm…
A tank with an inside diameter of 370 mm, a length of 885 mm, and a wall thickness of 3.6 mm was designed to withstand a pressure of 685 kPa. If the outside of the tank has corroded such that the thickness is now 89% of the original value, what should the pressure now be limited to?
Read DetailsThe pressure hull of a space station module has an inside di…
The pressure hull of a space station module has an inside diameter of 4.5 m, a length of 5.5 m, and a wall thickness of 2.6 mm. It is made from an aluminum alloy with a yield strength of 247 MPa. If the hull is successfully pressure tested to 195 kPa on Earth, determine the factor of safety with respect to yielding.
Read DetailsA pipeline with an outside diameter of 460 mm and a wall thi…
A pipeline with an outside diameter of 460 mm and a wall thickness of 11 mm is pressurized to 1.6 MPa. Due to thermal expansion, a compressive force of 20 kN is generated along the length of the pipes. Determine the normal stress along the length of the pipes. Ignore the bending stresses due to the weight of the pipes and the fluid that they contain.
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