1.4 Three different solid steel balls are suspended by three wires of different lengths (asshown in Figure 1.8) and different diameters, i.e. 0.12 in, 0.08 in and 0.05 in, from the top tothe bottom, respectively. Calculate:(a) the stresses in the wires compare the results(b) the total elongation of the wires(c) the strain in each wire and the total strain2.2 ft3.5 Ib2.8 ft1 lb2.5 ft2 lbFigure 1.8

Answered: Image /qna-images/answer/9ae594b5-70a6-4bcc-ac10-3fcf1aeb8fc3.jpg

Answered: 1.4 Three different solid steel balls…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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2. The stress-strain behavior of a ductile cast iron of diameter 15.8mm and a gauge length of 60.80mm is shown below, 400 300 200 100 0.00 0.10 Strain Determine the following: (a) the modulus of elasticity (b) yield strength at a strain offset of 0.002. Stress (MPa)
Problem 2. A block of cast iron was wrapped in the thin aluminum foil as shown on the figure. At room temperature there is no stress on the foil. The whole system is then immersed in liquid nitrogen at -196°C. Find the stress on the aluminum foil. Is the foil going to deform permanently? Is it going to break? Stress [MPa] 350 300 250 200 150 100 50 0 0 alu alloy 5083-H34 0.005 0.01 0.015 0.02 Strain Aluminum foil 5 µm thick, this is a continuous strip with the ends welded together Cast iron 20 mm thick a aluminum = 2.4 105 K-¹, Stress MPa 400 300 200 100 a iron 1.2 105 K-1 ↑ 11 0 0 0.05 0.1 0.15 0.2 0.25 Strain Fig. 2. Stress-strain diagrams for aluminum. Left: Low strain region. Right: Full strain range. Hint: you can get the Young's modulus, proportions limit (elastic limit), and break point from the graphs.
Q3
A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m experiences a stress of 600 MPa when placed under tension. If the material used for the truss tie-rod has a Young's Modulus, E, of 5.8 x 1011 N/m?, calculate: (i) the tie-rod's extension in millimetres (mm); (ii) the strain energy (U) in Joules; and (ii) the strain energy per unit volume (U/V) in Joules per cubic metre (m³). Give your answers to two decimal places.
Figure 2.1. shows two long plates with same material and equal width w=20 mm that are subjected to a uniaxial tensile load o. One of the plates has a single small central hole with diameter 4mm and another plate has two small holes with a distance of 8mm from each other. The holes are perpendicular to the external tensile load. Develop a computer code (or simulation model) and analyze how stresses will be distributed at the tip of the holes in these two plates for different values of 0. 4mm Figure 2.1. 8mm 4mm
Figure 2 shows a bar with a length L fixed at the left end. Question 2 The uniformly distributed force f (unit: N/m) is applied along the axis of the bar, and a concentrated force P (unit: N) is applied at the free end of the bar. The bar has a constant Young's modulus E and cross-section area A. Find the stretch of the bar: (a). at the free end of the bar; (b). at the center of the bar. (Expressing all the resulta with E, A, L, f, and P). E, A L Fig. 2. The kft end of the bar is fd, ad the froe ed of the bar is applied with a force P. The uniformly distribatod kece f is applied akong the ais of the bar.

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