F8-15. A 20-mm-wide block is firmly bonded to rigidplates at its top and bottom. When the force Pis applied theblock deforms into the shape shown by the dashed line.Determine the magnitude of P. The block's material has amodulus of rigidity of G-26 GPa. Assume that the materialdoes not yield and use small angle analysis.-150 mm-0.5 mm150 mm

Answered: F8-15. A 20-mm-wide block is firmly…

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 100-mmmm long rod has a diameter of 15 mmmm. If an axial tensile load of 145 kNkN is applied, determine its change in length. Assume linear-elastic behavior with E� = 200 GPaGPa.
The rigid beam is supported by three 25-mm diameter A-36 steel rods. If the beam supports the force of P=230 kN, determine the force developed in each rod. Consider the steel to be an elastic perfectly plastic material.
The bolt AB in (Figure 1) has a diameter of 18 mm and passes through a sleeve that has an inner diameter of 42 mm and an outer diameter of 52 mm. The bolt and sleeve are made of A-36 steel and are secured to the rigid brackets as shown. If the bolt length is 220 mm and the sleeve length is 200 mm, determine the tension in the bolt when a force of 50 kN is applied to the brackets.
Q2/ The 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium sleeve that has an inner diameter of 15 mm and an outer diameter of 25 mm. The original lengths of the bolt and sleeve are 80 mm and 50 mm, respectively. If after the nut on the bolt is tightened the tension in the bolt is 10 kN, determine the change in dimension of the cross-section of the bolt and the sleeve. Assume the material at A is rigid. Ea = 70 GPa, Emg = 45 GPa, Ga = 26 GPa, Gmg = 17 GPa. 50 mm 30 mm
A 25 mm square-cross-section bar of length 300 mm carries an axial compressive load of 50 kN. Determine the stress set up in the bar and its change of length when the load is applied. For the bar material E = 200 MPa
The assembly consists of three disks A, B, and C that are used to support the load of 140 kN. Determine the smallest diameter d₁ of the top disk, and the largest diameter d₂ of the opening, and the largest diameter d3 of the hole in the bottom disk. The allowable bearing stress for the material is (b) allow = 350 MPa and the allowable shear stress is Tallow=125 MPa. C B d₁ -| A 140 kN 20 mm 10 mm d3 d2
*9-72. The cylinder CD af the assembly is heated from T, = 30 °C to T, = 180 °C using electrical resistance. At the lower temperature T, the gap between C and the rigid bar is 0.7 mm. Determine the force in rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel, and cach has a cross-sectional area of 125 mm. CD is made of aluminum and has a cross-sectional area of 375 mm. E = 200 GPa, Ea = 70 GPa, and au = 23(10)/C a7 mm ல் mm 300் m
*3-12. Fiberglass has a stress-strain diagram as shown. If a 50-mm-diameter bar of length 2 m made from this material is subjected to an axial tensile load of 60 kN, determine its elongation. σ (Pa) 300(10%) 1/2 €(mm/mm)
The acrylic plastic rod is 200 mm long and 15 mm in diameter. If an axial load of 300 N is applied to it, determine the change in its length and the change in its diameter. Ep = 2.70 GPa, np = 0.4.
Determine the maximum force P that can be exerted on each of the two pistons so that the circumferential stress in the cylinder does not exceed 3 MPa. Each piston has a radius of 45 mm and the cylinder has a wall thickness of 2 mm.
The pole is supported by a pin at B and A-36 steel guy wire AC. If the wire has a diameter of 0.2. Modulus of Elasticity of Steel = 200GPA or 29x103 ksi Poisson's ratio of steel=0.321 a. Determine how much the wire stretches when the horizontal force acts on the pole. 3 ft 30 D 2.5 kip 4 ft B b. Determine the change in the wire's radius c. At what angle is the principal stresses on pole BC? Use Mohr's Circle. d. What is the principal stress in pol BC? Use Mohr's Circle e. Draw the stresses on a unit element acting on 35-degree clockwise direction of pole BC. Use Mohr's Circle. f. What are the principal stresses in point D? Use Mohr's Circle. (answer in ksi) g. At what angle is the principal stresses acting on point D? Use Mohr 's Circle. h. Draw the stresses on a unit element acting on 35degree-clockwise direction of point D. Use Mohr's Circle. (answer in ksi)
The d - 15-mm-diameter solid rod passes through a D=20-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b- 13 mm. The rod head has a diameter of a = 30 mm, and the head has a thickness of t= 10 mm. The shear stress in the rod head cannot exceed 130 MPa, the punching shear stress in the support plate cannot exceed 90 MPa, and the bearing stress between the rod head and the support plate cannot exceed 140 MPa. Determine the maximum value of Pmax that can be supported by the structure. Support Plate Rod Answer: Pmax i -Hole diameter D Head kN ام

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