A two-step bar subjected to loading condition as shown in below figure is fixed at one end and the free end is at a distance of 3.5 mm from the support. P= 60 kN. Determine (1) The displacements at nodal points (ii) The stresses in elements (iii) The reactions at supports Given A1 = 250 mm2, A2 = 400 mm² andE = 200 GPa. %3D 2. 300 kN 600KN 150 mm 150 mm 200 mm 200 mm 3.5 mm

A two-step bar subjected to loading condition as shown in below figure is fixed at one end and the free end is at a distance of 3.5 mm from the support. P= 60 kN. Determine (1) The displacements at nodal points (ii) The stresses in elements (iii) The reactions at supports Given A1 = 250 mm2, A2 = 400 mm² andE = 200 GPa. %3D 2. 300 kN 600KN 150 mm 150 mm 200 mm 200 mm 3.5 mm

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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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A two-step bar subjected to loading condition as shown in below figure is fixed
at one end and the free end is at a distance of 3.5 mm from the support. P= 60
kN. Determine
(1) The displacements at nodal points
(ii) The stresses in elements
(iii) The reactions at supports
Given A1 = 250 mm2, A2 = 400 mm² andE= 200 GPa.
%3D
2.
300 kN
600 kN
150 mm
150 mm
200 mm
200 mm
3.5 mm

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A tensile load of 6 kN at 25 C was applied to a steel rod stretching between two rigid walls as shown in figure (2). If thea 12.2 pm/(m-"C), E = 200 GPa, and the permissible stress does not exceed 6 kN- 6 kN 150 MPa at -25 C.What is the minimum rod diameter?
(b) Two round solid bars of different materials are connected in series against rigid supports as shown in Figure 4. Determine the stress in each bar and the support reactions if temperature is increased by 18º C. Bar A da, EA, aA Bar B dB, EB, aB LA LB Figure 4 Use the following information. Bar, B: Bar, A: Length, LB Diameter, de Poisson's Ratio Young's Modulus EB = 210 kN/mm² Coefficient of expansion ag = 12.4x106 °C-! = 25mm - 40 mm Length, LA Diameter, da Poisson's Ratio Young's Modulus EA = 70 kN/mm? Coefficient of expansion aa = 16.5x106 °C-1 = 10 mm = 0.28 = 30 mm = 0.32
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The true option
Consider the pictured bar with axial loads of PB = 50 kip and Pc = 68.5 kip, and the indicated material properties. A = 5 in² E = 12 × 103 ksi Oy = = 35 ksi for this material B C PB PC PB РС 18 in 24 in 36 in 0.01 in a)For the chosen values of PB and Pc, determine the reaction at D b)Given PB = 50 kip, what value of Pc will produce yielding of the bar? kip kip
Answer quickly
Two round solid bars of different materials are connected in series against rigid supports as shown in Figure 4. Determine the stress in each bar and the support reactions if temperature is increased by 18° C. Bar A da, EA, A Bar B dв, Ев, ав LA LB Figure 4 Use the following information. Bar, B: Length, LB Diameter, dB Poisson's Ratio Young's Modulus EB = 210 kN/mm2 Coefficient of expansion aB = 12.4x106 °C- Bar, A: Length, LA Diameter, dA = 25mm =D40 mm = 10 mm 30 mm S. = 0.28 =D0.32 = 70 kN/mm² Coefficient of expansion aa = 16.5x10-6 °C-I Poisson's Ratio %3D Young's Modulus EA