A cast-iron bar with a square cross-section of 50 mm is reinforced by placing tw steel plates 50 mm wide and 10 mm thick on opposite sides of the cast-iron bar. The compound rod is 2 m long and is subjected to a suddenly applied load of 100 kN. Calculate: 2.2.1 the maximum stresses induced in both materials. 2.2.2 the instantaneous elongation of the compound rod; and 2.2.3 the strain energy stored in each material (EST= 200 GPa and Ea = 95 GPa).

A cast-iron bar with a square cross-section of 50 mm is reinforced by placing tw steel plates 50 mm wide and 10 mm thick on opposite sides of the cast-iron bar. The compound rod is 2 m long and is subjected to a suddenly applied load of 100 kN. Calculate: 2.2.1 the maximum stresses induced in both materials. 2.2.2 the instantaneous elongation of the compound rod; and 2.2.3 the strain energy stored in each material (EST= 200 GPa and Ea = 95 GPa).

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

See similar textbooks

Similar questions

(a) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this load a 200 mm gauge length is found to extend 0.19 x 10-mm. Determine the modulus of elasticity for the bar material. (b) If, in order to reduce weight whilst keeping the external diameter constant, the bar is bored axially to produce a cylinder of uniform thickness, what is the maximum diameter of bore possible given that the maximum allowable stress is 240 MN/mo? The load can be assumed to remain constant at 100kN. (c) What will be the change in the outside diameter of the bar under the limiting stress quoted in (b)? (E = 210 GN/m2 and 1 = 0.3).
A 1000 kg homogenous bar 2 m long is suspended horizontally from two vertical cables A and B each 1.8 m long and connected at both ends. With cross-sectional area 400 mm sq. Determine the magnitude of the largest additional force acting downward which can be applied to the bar. The stresses in the cables A and B are limited to 100 MPa and 50 MPa respectively.
A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and the length of the steel rod are given as 10 mm and 120 mm,respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0,00053. Given that the total extension of the composite rod must not exceed 0,1624 mm and E for steel is 200 GPa, respectively. Determine : A) Strain in the steel rod B) Load carried by the steel and brass rods C) Modulus of elasticity for the brass
2. A bar of thickness 15mm and having a rectangular cross-section carries a load of 120kN. Determine the minimum width of the bar to limit the stress to 200MPa. The bar, which is 1m long, extends by 2.5mm when carrying a load of 120kN. Determine the modulus of elasticity of the material of the bar.
A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and the length of the steel rod is 10 mm and 120 mm, respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0.0053. Given that the total extension of the composite rod must not exceed 0,1624 mm and E for steel is 200 GPa, respectively. Calculate : A) Strain in the steel rod B) Load carried by the steel and the brass rods C) Modulus of elasticity for the brass. Can you please resend that question as it appears to be blank??
A steel [E=200 GPa] rod with a circular cross section is 10 m long. Determine the minimum diameter required if the rod must transmit a tensile force of 260 kN without exceeding an allowable stress of 240 MPa or stretching more than 10 mm.
A steel rod of 30 mm diameter is enclosed centrally in a hollow copper tube of external diameter 40 mm and 5 mm thick. The composite bar is then subjected to an axial pull of 45 kN. If the length of the compound rod is 150 mm , and the elasticity moduli are Est = 200 GPa and Ecu = 100 GPa , determine: 1.2.1 The stresses in the rod and tube
Two tempered-steel bars, each 316316 in. thick, are bonded to a 1212 -in. mild-steel bar. This composite bar is subjected as shown to a centric axial load of magnitude P. Both steels are elastoplastic with E = 29 × 106 psi and with yield strengths equal to 100 ksi and 50 ksi, respectively, for the tempered and mild steel. Determine the residual stresses in the tempered-steel bars if the load P is gradually increased from zero to 103 kips and then decreased back to zero. The residual stress in the tempered steel bars is
A steel sleeve of 24 mm internal diameter and 36 mm external diameter encloses an aluminium rod of 22 mm diameter. The length of the rod is 0.4 mm longer than that of the sleeve which is 400 mm long as ahown in Fig (A). Determine a) The compressive load upto which only the rod is stresssed. b) The maximun load on the assembly if the permissible stresses in aluminium and steel are 130 MPa and 175 MPa, respectively. c) The deformation of the assembly under maximum load. Given: Ea = 75 GPa Es = 205 GPa
A steel band 8mm thick is to be pulled on to a cylinder 30cm in diameter. The interval diameter of the hoop formed by the band is 29.98cm. By how much will it be necessary to increase the temperature of the hoop, so that it would slide over the surface of the cylinder? What stress will occur in the hoop when it reaches the same Temperature as the cylinder, if the deformation of the cylinder may be neglected?
The principal strains in a plane, measured experimentally at a point on the aluminum fuselage of a jet aircraft, is ε1 = 117x 10^6, and ε2 = 167 x 10^6. If this is a case of plane stress, determine the associated principal stresses at thepoint in the same plane.
The bolted connection illustrated below comprises one bolt and two plates. The bolt, which has a diameter of 20 mm, is threaded through a 22- mm diameter hole in both plates. The shear stress of the bolt is 78,000 MPa. Based on this information, determine the following What is the largest force F that can be placed on the joint without shearing the bolt? what is the normal stress, at the gross section area, in each plate? what is the normal stress, at the net section area, in each plate? what is the bearing (or contact) stress between the bolt and each plate?