12.30m F=5.3 KN 7.2 m 9.6 m B x
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A tension force F of magnitude 5.3 kN is applied to thencable attached to the top of the rigid mast and secured to the ground.
Compute the component of F along the z-axis (kN).
Answer: B. 2.22
Calculate the angle made by F from the positive x-axis (degrees) (Answer: 56)and positive z-axis (degrees). (Answer: 65)
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- The stress-strain diagram for a polyester resin is given in Figure 2. The rigid beam AC is supported by a strut AB and post CD, where both are made from this resin material. a) When beam AC is subjected to a load of P = 80 kN, determine the angle of tilt of the beam when the load is applied. Assume that the diameter of the strut is 40 mm and the diameter of the post is 80 mm. b) Determine the largest load P that can be applied to the beam before it ruptures. Assume that the diameter of the strut is 12 mm and the diameter of the post is 40 mm. c) Based on the value of P in (b), suggest one material that will not rupture if the applied load is 5P. Explain your answer mathematically.The second moment of area of a rectangle is given by the formula I =bh^3/12where b is the breadth and h is the height.Determine the approximate percentage error, if b is measured 3% too largeand the height h is measured 1.7% too small.(Use the Binomial Expansion Method)1) A cylindrical pressure vessel is fabricated from steel plating that has a thickness of 20 mm. The diameter of the pressure vessel is 450 mm, and it's length is 2.0 m. Determine the maximum internal pressure that can be applied if the longitudinal stress is limited to 140 MPa and the circumferential stress is limited to 60 MPa 2) A compound thin cylinder has a common diameter of 100 mm, and the inner cylinder has a thickness of 2,5 mm. The radial pressure between the two cylinders is 200 KPa and the difference between the two common diameters before shrinkage was 0,004305 mm. E=200 GPa Determine : A) Thickness of the outer cylinder B) Resultant hoop stresses in both cylinders if the compound cylinder is subjected to an internal pressure of 180 KPa
- A steel pipe has an inside diameter of d = 250 mm and an outside diameter of D = 268 mm. The length of the pipe is L = 6.0 m. The changes in dimension caused by an increase in temperature of 80°C for the: Outside diameter - Blank 1 mm Inside diameter - Blank 2 mm Lenght - Blank 3 mm Note: All answer must be round off up to 3 decimal places.6) Liquid in a closed container with ₁-1000 cm³ is under pressure p₁-1×10 N/m². Volume of the liquid is reduced to V₂=995 cm' when pressure increased to p=2×10 N/m². Calculate volumetric elasticity modulus of the liquid.the ability of fluid to resist shear stresses is known as bulk modulus Select one: O True O False
- The beam is supported by rods AB and CD that have different cross-sectional areas. The area of rod AB is AAB = 10 mm² .The area of rod CD is Acp = 8.25 mm². B F₁ Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value F₁ d₁ d₂ NAB= 5050 N 3.25 mm 0.5 mm a. Determine the magnitude of the normal internal force in rod CD, NCD. b. Determine the magnitude of the normal internal force in rod AB, NAB. c. Determine the normal stress in rod CD, OCD. d. Determine the normal stress in rod AB, O AB. Round your final answers to 3 significant digits/figures. NCD = N N3.44 The landing gear of an airplane can be idealized as the spring-mass-damper system shown in Fig. 3.52 [3.16]. If the runway surface is described y(t) = y cos wt, determine the values of k and c that limit the amplitude of vibration of the airplane (x) to 0.1 m. y = 0.2 m, and @ = 157.08 rad/s . Assume m = 2000 kg, YOON y(t) x(t) (a) 00000 m (b) Wheel Runway Housing with strut and viscous damping Mass of aircraft, m 0Please provide answer in handwritten format, it's really easy to read and to understand the problem. Try to avoid typed answer.
- Assuming the stress state in a rotating gas turbine is axisymmetric, how many stress and/or displacement boundary conditions are needed to determine the complete stress state? 01 2 3 4A bar with varying cross section is subjected to various forces as shown below. Compute: a) Stresses in each section b) strain in each section c) total extension of the bar. Take E = 2.1x105 N/mm² 400 mm² P1=10kN A 1000 mm B 800 mm mm² P₂ P3=45KN+ 1500 mm 600 mm² 800 mm → P4-35kNF