a) What is the stress in the bronze rod (in MPa)?b) What is the stress in the steel rod (in MPa)? The rigid bar ABC is supported by a pin at B and two vertical steel rods. Initiallythe bar is horizontal and the rods are stress-free. Find the stress in each rod ifthe temperature rises 30°C after a load W = 125 kN is applied. The coefficients oflinear expansion are 11.7 um/(m-°C) for steel and 18.9 pm/(m-°C) for bronze.BronzeL = 3 mA = 1300 mm?E = 83 GPaSteelL = 1.5 mA = 320 mm?E = 200 GPa+1m->2.5 m1.5 m

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Answered: What is the stress in the bronze rod…

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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A brass link (Eb = 105 GPa, ab = 20.9 x 106/°C) and a steel rod (Es = 200 GPa, as = 11.7 x 106/°C) have the dimensions shown at a temperature of 20°C. The steel rod is cooled until it fits freely into the link. The temperature of the whole assembly is then raised to 45°C. Determine a.) The final stress in the steel rod b.) The final length of the steel rod 50 mm Brass 37.5 mm 37.5 mm 0.12 mm -250 mm 30-mm diameter Steel Section A-A
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2. A rod is composed of an aluminum section rigidly attached between steel and bronze sections as shown in the figure. Axial loads are applied at the positions indicated. The cross-sectional area of the rod is 300sq.mm. Express your answer in MPa. Determine the stress in the steel. b. a. Determine the stress in the aluminum. Determine the stress in the bronze. C. STEEL ALUMINUM BRONZE 56kN 14kN -0.6m- -0.9m- -0.76m-
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5. The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod? -2 m- -1.5 m- 1.5 m- Bronze A = 300 mm2 E = 83 GPa L=2 m Steel A = 900 mm2 E = 200 GPa L = 1.5 m
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3. The rigid bar weighs 5 kN/m, is supported as shown. The assembly is initially stress-free. Find the stress in each rod if the temperature rises 20°C after a load W = 150 kN is applied. A (mm?) a (FC) E (GPa) Steel rod 300 11.7 x 10-6 200 Bronze rod 1400 18.9 x 10-6 83 Bronze | 3 m Steel 1.5 m ►| 1.0 m 2.5 m 2 m W
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What is the stress in the bronze rod (in MPa)? b) What is the stress in the steel rod (in MPa)?