Learning Goal: To calculate the maximum allowable stresses in pressure vessels, compute the minimum allowable thickness of pressure vessels to meet certain constraints, and observe and compare properties of different pressure vessel shapes. Engineers are considering two possible vessel shapes for storing fuel. One shape is cylindrical and the other is spherical. Each vessel would be constructed out of the same material such that its hoop stresses and longitudinal stresses would be no greater than 120 MPa. The cylindrical pressure vessel has an inside diameter of de 800 mm and a thickness of te = 25.0 mm. The spherical pressure vessel has an inside diameter of ds = 650 mm and a thickness of ts = 11.0 mm. Part A - Maximum allowable pressure in the cylindrical pressure vessel Determine the maximum allowable pressure, pc,max, in the cylindrical pressure vessel. Express your answer in N to three significant figures. ► View Available Hint(s) Pc,max = Submit ΑΣΦ vec Previous Answers Request Answer X Incorrect; Try Again; 9 attempts remaining Ps,max = Part B - Maximum allowable pressure in the spherical pressure vessel - ΑΣΦ ? Determine the maximum allowable pressure, ps,max, in the spherical pressure vessel. Express your answer in N to three significant figures. ► View Available Hint(s) Ivec kPa ? kPa

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A current problem in the U.S. Air Force is the neck/shoulder fatigue experienced by pilots. To be able to fly missions at night, the pilots wear night vision goggles, which are attached to the front of the helmet. Unfortunately, these are heavy, causing a large downward torque of the head, which must be counteracted by the neck muscles, which then fatigue. To alleviate this problem, many pilots have started attaching random lead weights to the back of the helmet. Find the appropriate weight that would best balance the head and minimize neck fatigue – You must show your free body diagram. Assumptions: a) center of gravity of goggles is 20 cm in front of neck pivot point, b) load of goggles1.0 kg mass, c) center of gravity of lead weight is 10 cm behind neck pivot point, d) load of bare helmet 3 kg mass, e) center of gravity of helmet is 2 cm in front of neck pivot, f) load of head 4.0 kg mass, and g) center of gravity of head is right at neck pivot point.  Answer: ___________________

I need assistance designing three structural models on Fusion 360 (bamboo-inspired, bone-inspired, and a control cylinder) for a mechanics project. These models will be tested under compression to compare their load-bearing capacity, energy absorption, and failure modes. Here are the specific details and requirements for each design: General Requirements: External Dimensions: All models must have the same outer dimensions: height = 15 cm, diameter = 5 cm. Material Volume: Ensure each design uses approximately the same material volume (e.g., relative density = 30% of the total volume). If you have any other ideas on how to ensure the test is fair between all 3 samples please note it! File Format: Provide the designs as STL files compatible with 3D printing or a step-by-step process.  Design Specifications: 1. Control Cylinder: A simple hollow cylinder with: Wall Thickness: 2 mm. Inner Diameter: 4.6 cm (to maintain the outer diameter and wall thickness). No additional…