VECHANICS OF D.5.73.8%THERMAL STRESSSteel Rodd = 20 mmL = 5 mE = 200 GPaa = 11.70 µm/(m-°C)p = 8,000 kg/m³1. A steel rod is positioned vertically asshown in the figure. It is fixed at oneend and unsupported at the other end.An external force (F = 800 N) is appliedto the free end of the rod the same timewhen the temperature is raised by 25C. Assume that all deformations willhappen at the same time, compute thestress developed in the steel rod if thegap between the free end of the steelrod and the ground is 0.20 mm.%3DGAP

Answered: Image /qna-images/answer/1b8e24c9-969b-4997-bf67-fe4e504d8380.jpg

Answered: 1. A steel rod is positioned vertically…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Triangular wedges stresses.
A thin rectangular plate ABCD is deformed into a parallelogram as shown in the figure below. The width of the plate is w = 1300 mm, and the height of the plate is h = 1700 mm. The shear strain at A is known to be +4172 μrad. Assume a = 2.9 mm. Calculate the magnitude of dimension b in the figure.
Figure Q4 shows a piece of triangular thin plate ABC with thickness 5 mm. A linear pressure as shown in the figure is being applied to edge AB with maximum intensity of 100 kN/m² at the middle of edge AB. The plate is made from stainless steel, with a Young's modulus of 200 GPa and Poisson's ratio of 0.3. The deformations in the plate are to be obtained. For such purposes, the finite element method is being employed. (a) (b) (c) (d) (e) State the type of problem involved in this case (to determine the stiffness matrix to be used). Model this problem optimally using the least number of orthogonal triangular elements only. Label the nodes and elements and indicate clearly the status of all the relevant degrees-of- freedom in this model. Set up the appropriate system of simultaneous equations and solve for the unknown displacements. Displacements at point T. Without any calculation, explain on the value of strain at points S and T.
CIVIL ENGINEERING
2. A copper rod of diameter 12 mm is subjected to a compressive force of 8 kN. The change in diameter happens to be 4.5 x 103 mm. Determine the strain along the length of the material and the Poisson's ratio when E = 110 GPa.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Assume'stress magnitudes of 5,-80 MPa, S - 220 MPa. Sy For the given state of stress at a point in a structural member, determine the center Cand the radius R of Mohr's circle. Answers: C- MPa, R- i MPa. Save for Later Part 3 Determine the principal stresses (api > Op2 ) for this state of stress. Answers: Opl = MPa, o,2 = MPa Save for Later Part 4 For this Mohr's circle, determine the magnitude of the central angle between: (a) pointxand the point representing the principal stress opl- (b) point x and the point representing the principal stress Op2. (a) Angle - i (b) Angle - i
Use stress transformation method and not the equations.
1. An axial force of 250 kN is applied to the assembly shown, made of cylindrical brass core surrounded by an aluminum shell. The axial force is applied through rigid end plates. a) Determine the normal stress in each of the metal components, given that Ebrass = 105 GPa and Ealum = 70 GPA. 100mm b) What is the axial deformation of the assembly? 200mm 200mm
A thin rectangular polymer plate PQRS of width b = 361 mmand height = 193 mm is shown in the figure. The plate is deformed so that corner Q is displaced upward by c = 3.1 mm and corner R is displaced leftward by the same amount. Determine the shear strain at corner P after deformation. a Y = b S a urad

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