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mm |15 kN 140- 15 KN/m 20 A 15 kN E 120 Im 4m lm mm 20 CS CamScanner ile tarandı 20

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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3. An ASTM A36 structural steel beam 5.00 m long is placed between two rigid supports. When the temperature is 20°C, there is no stress in the bar. Compute the stress developed in the beam if the temperature rises to 45°C. Assume that the proportional limit is 235 MPa. a = 11.7 x 10-6 1/C° E = 207 GPa
Show the relationship between axial stress and strain to get the axial deformation
A small aluminum alloy [E = 61 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 155 mm. The cross-sectional dimensions of the tee shape are b %3D = 22 mm, d = 33 mm, and t = 7 mm. After loads are applied to the beam at B, C, and D, a %3D compressive normal strain of 420 µɛ is measured from a strain gage located at c = 6 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P 3P В D E Strain gage- d H b Answer: P = i N
PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m B 5KN 0.6m AL 20KN What is the deformation &pE in mm? A=800 mm² A=1,200 mm²
A square beam (w=0.03 m) is loaded with a point load of 1000 N and a moment load of 1000 Nm, as shown. i. Determine maximum deflection of the beam using step by step analytical equations. ii. Determine the Maximum stress in the beam using step by step analytical equations iii. For both top fibers and bottom fibers of the square beam, specify the type of the stresses.
Normal stress is calculated dividing the reaction by the cross-sectional area. Is this approach valid for any point of a structural member? Why or why not? To answer this question, consider the loading point, cross- sectional shape, etc.
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11. Iwo beams, one having square cross section and another circular cross-section, are subjected to the same amount of bending moment. If the cross-sectional area as well as the material of both the beams are same then (A) Maximum bending stress developed in both the beams is the same (B) The circular beam experiences more bending stress than the square one (C) The square beam experiences more bending stress than the circular one (D) As the material is same both the beams will experience same deformation
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The state of plane stress shown occurs at a critical point of a steel machine component. As a result of several tensile tests, it has been found that the tensile yield strength is o, = 250 MPa for the grade of steel used. Determine the factor of safety with respect to yield using (a) the maximum shearing stress criterion, and (b) the maximum distortion energy criterion. ↑y 40 40 MPa 80 MPa 25 MPa ➜X
Normal stress is calculated dividing the reaction by the cross-sectional area. Is this approach valid for any point of a structural member? Why or why not? To answer this question, consider the loading point, cross- sectional shape, etc.
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