3. A 30-cm long, 12-mm diameter carbon steel rod wassubjected to 15,5 kN of tension. Calculate (a) the stress andstrain in the rod, (b) the amount that it stretches, (c) itschange in diameter, and (d) its stiffness (k=EA/L). (e) If theforce was only 4.5 kN, by what amount would the rod havestretched?

Answered: Image /qna-images/answer/9497f6b1-48b3-4769-b635-415b18b81ca3.jpg

Answered: 3. A 30-cm long, 12-mm diameter carbon…

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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A small room is made up ofrectangular metal bars. One bar has a width of 10 mm and would beable to withstand a maximum compressive stress of 20 MPa.i. Prove that, the minimum breadth of this bar can withstand a burdenedwith a force of 3 KN.ii. If the bar in question is 2 m long and decreases in length by 0.25 mmwhen a force is applied, then show that a percentage strain can beobtained.iii. What would be its Modulus of Elasticity, E?
Sketch a tensile member with (a) a rectangular crosssection, (b) a solid circular cross section, and (c) a circulartubecross section, and label the dimensions symbolically (e.g.,label the radius for the solid circular case). For each member, write out the definition of engineering stress in terms of the actual dimensions of the component. If therectangular member has dimensions of width and thicknessequal to 1 cm 0.3 cm, what would be the radius of a solidcircular member such that the stress is equal for an equaltensile load? If a tube has an outer radius equal to that ofthis same solid cylinder, what is the maximum inner radiussuch that the stress does not exceed 200% of the stress inthe solid cylinder?
In a sheet metal of 2 mm thickness, a hole of 10 mm diame- ter needs to be punched. The yield strength in tension of the sheet material is 100 MPa and its ultimate shear strength is 80 MPa. The force required to punch the hole (in kN) is
An engineer determines that a 32 cm long rod of 1020 grade steel will be subjected to a tension of 40 kN. The following two design requirements must be met: the stress must remain below 120 MPa, and the rod must stretch less than 0.135 mm. Determine an appropriate value for the rod's diameter to meet these two requirements. (Round up to the nearest millimeter when reporting your answer.) mm
A wire with circular base of radius 3 mm was subjected to tensile stress of 13.5 N. If half the amount of stress is to be applied to a wire with square base of 1.86 mm width, what must have been the force (in Newton) applied to this new wire?
5) A brass rod 8mm diameter and 400mm long fits centrally inside aluminum tube of the same length having an external diameter of 16mm and a wall thickness of 3mm. The rod and tube are rigidly connected at their ends so that they twist together when a torque of 20 Nm is applied. Galuminum = 30GPA; Gbrass = 40GPA. Determine: %3D a) The values of the torsional stiffness for the rod and the tube b) The torque transmitted by each c) The maximum shear stress in each d) The angle of twist
2. A 45-cm long rod of 1020 grade steel will be used as a frame support. It will be subjected to a tension of 50 kN. As a safety factor, design stress is 150 Mpa and rod elongation should be limited to 0.5 mm. Determine the rod's diameter.
The femur, the long bone in the thigh, can be modeled as a tube of compact bone for most of its length. The cross-section area of the compact bone in the femur of a 70 kg person is 4.8 x 10-4 m2, a typical value.a. If this person supports his entire weight on one leg, what fraction of the tensile strength of the bone does this stress represent?b. By what fraction of its length does the femur shorten?
6. The diameter of a piston of the steam engine is 300 mm and the maximum steam pressure is 0.7 N/mm. If the maximum permissible compressive stress for the piston rod material is 40 N/mm, find the size of the piston rod. [Ans. 40 mm] 7. Two circular rods of 50 mm diameter are connected by a knuckle joint, as shown in Fig. 4.21, by a pin of 40 mm in diameter. If a pull of 120 kN acts at cach end, find the tensile stress in the rod and shear stress in the pin. (Ans. 61 N/mm; 48 N/mm]
A 2.4 diameter steel molding is lifted by 4 steel cables as shown. The mold weighs 3 kN/m. (a) what is the required diameter of wire that will not exceed the allowable stress of 120 MPa. and (b) if the wire diameter increase by 20%, find the vertical displacement of the molding. 24m
As shown, an L-shaped bar is supported by a pin at joint A. The bar's dimensions are a = 620 mm and b = 400 mm , and the bar is subjected to a force with magnitude F = 5.35 kN at joint B. Ignoring the bar's weight, find the actual orientation of the applied force. What is the value of the angle 0? F В A a Express your answer in degrees to three significant figures. • View Available Hint(s) Eνα ΑΣφ It vec ? degrees
Question # 1 Fig 2 shows an unstressed aluminum plate 2/4 inches thick. A circle of 9.5 inches diameter is scribed on it. Normal stresses of 15 ksi and 22 ksi, along x and y direction, are caused by forces acting in the plane of the plate. For Poisson's ratio 4 and modulus of elasticity 10 *10^6psi,then determine the following (a)change in the length of diameter AB (b)change in diameter CD (c)variation in the plate thickness (d)the volume change of the plate

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