Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- A 2 m long alloy bar of 1500 mm? cross-section area hangs vertically and has a collar securely fixed at its lower end. Find the stress induced in the bar, when a weight of 1 kN falls from a height of 100 mm on the collar. [E = 120 GPa]arrow_forwardSITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c = 1.7m. b C P Steel: A=900 mm² E = 200 GPa L=1.5m Bronze: A 1200 mm E=83 GPa L=2.0m What is the value of P without exceeding the allowable stress of bronze, in kN? 174 145 161 124arrow_forwardQ- A uniform prismatic circular bar made up of rigid material is subjected to a tensile force of 5000 N at one end. If the diameter of the cross-section is 7 mm, then find the stress and strain in the bar.arrow_forward
- Determine the tensile strain Original length L = 500 mm Tensile deformation = 2.5 mmarrow_forwardA steel rod of 15- mm diameter is held snugly (but without any initial stresses) between rigid walls by the arrangement shown in the figure part (a). (For the steel rod, use α = 12 x 10-6/˚C and E = 200 GPa.) Calculate the temperature drop ΔT (degrees Celsius) at which the average shear stress in the 12 – mm diameter bolt becomes 45 MPa. Also, what is the normal stress in the rod? What are the average bearing stresses in the bolt and clevis at A and between the washer (dW = 20mm) and wall (t = 18 mm) at B? If the connection to the wall at B is changed to an end plate with two bolts (see figure part b), what is the required diameter db of each bolt if the temperature drop is ΔT = 38˚C and the allowable bolt stress is 90 MPa?arrow_forwardTwo wooden studs with cross-sectional dimensions 45×145 mm2 are glued together to form a beam with a T-sectionaccording to the figure on the right and loaded according to the figure on the left. The beam is loaded in its rigiddirection.a) Calculate the moment of inertia of the cross-section about the centroid axis (z-axis).b) Calculate the maximum normal stress in the beam.c) Sketch the normal stress distribution over the most loaded cross-section of the beam. All calculations must be clear and handwritten, draw and check so that the answers are correctarrow_forward
- 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 Darrow_forward2. Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. What is the stress in each material given that P = 10 kN? Specify whether tension or compression. Bronze Aluminum Steel A =400 mm2 A= 600 mm2 A = 300 mm2 2P ЗР 4P P -3 m 5 m 4 m Stress in Bronze (MPa) %D Stress in Aluminum (MPa) %3D Stress in Steel (MPa)arrow_forwardA steel wire (E= 200 GPa) of diameter d= 1.25 mm is bent around a pulley of radius Ro= 500 mm. What is maximum stress in the wire?arrow_forward
- GIVEN: Bar has a cross-sectional area of 4 in? and is placed between two rigid immoveable supports when it is 30.00 inches long at a temperature of -20°F. REQ’D: A) The stress in the bar at 90°F if it were made of steel. Esteel = 10 x 10° psi asteel = 13 x 106/°F B) The final length of the aluminum bararrow_forwardAn aluminum rod is rigidly attached between a steel rod and a bronze rod as shown below. Axial loads are applied at the positions indicated. Find the maximum value of P in Newton that will not exceed a stress in steel of 150 MPa, in aluminum of 87 MPa, or in bronze of 97 MPa.arrow_forwardNormal 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.arrow_forward
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