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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The assembly shown in figure below consists of a light rigid bar AB, pinned at O, that is attached to the steel and aluminum rods. In the position shown, bar AB is horizontal and there is a gap, A = 5 mm, between the lower end of the steel rod and its pin support at C. Compute the stress in the aluminum rod when the lower end of the steel rod is touch to its support. A 0.75 m Steel A = 250 mm E = 200 GPa *i* O 1.5 m Aluminum L = 2m A = 300 mm' E = 70 GPa B D
1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 6 32mm 75 225 225 75 600
Question 1: The piece of plastic is originally rectangular. Given LCD and LAD are 400 and 300 mm, respectively. If the plastic distorts as shown by the dashed lines, a) Determine the average normal strain that occurs along CD. b) Determine the average normal strain that occurs along AD. c) Determine the shear strain Yxy at corner C. 2 mm LCD 2 mm D LAD mm B 12 mm 3 mm mm
The stresses shown in the figure act at a point on the surface of a structural element. Using Mohr’s circle, determine the following: 1. Calculate the absolute value of the normal stress x at the point in MPa. 2. Calculate the absolute value of the normal stress y at the point in MPa. 3. Calculate the absolute value of the shear stress xy at the point in MPa. 4. Calculate the absolute value of the minor principal stress in MPa. 5. Calculate the absolute value of the major principal stress in MPa. 6. Calculate the absolute value of the maximum shear stress in MPa. Kindly answer all with complete solution please. Needed ASAP
7. A steel rod 3 ft long with a cross-sectional area of 0.3 in.2 is stretched between two fixed points. The tensile force in the rod is 1200 lb at 40°F. Using a = 6.5 x 10°F andE=29 x 10° psi. a) Calculate the temperature at which the stress in the rod will be 10 ksi. b) Calculate the temperature at which the stress in the rod will be zero.
A steel wire (E = 200 GPa) of diameter d = 1.0 mm is bent around a pulley of radius Ro= 400 mm (see figure below). Ro a. What is the maximum stress in the wire? b. Does the stress increase or decrease if the radius of the pulley is increased?
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.
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
A hollow aluminum tube used in a roof structure has an outside diameter d2= 112mm and an inside diameter d1= 80mm. The tube is 2.80m long, and the aluminum has a shear modulus of G= 28GPa.a. If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist, in degrees,when the maximum shear stress is 52MPa?b. What diameter d, in mm, is required for a solid shaft, as shown, to resists the same torque with the same maximum stress?c. What is the ratio of the weight of the hollow tube to the weight of the solid shaft?
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
The solid shaft, made of three different materials, carries the two torques shown. (a) Calculate the maximum shear stress in each material. (b) Find the angle of rotation of the free end of the shaft. The shear moduli are 28 GPa for the aluminum, 83 GPa for steel and 35 GPa for bronze. Aluminum 100 mm -3 m- 4 kN.m Steel 75 mm -2 m 1.5 kN - m Bronze |--15m-l

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