Problem 1: The steel rod is placed inside the copper tube, the length of each being ex-,actly 15 in. If the assembly is compressed by 0.0075 in., determine the stress in eachcomponent and the applied force P. The moduli of elasticity are 29 × 106 psi for steeland 17 x 10° psi for copper.0.6 in.0,75 in.Problem 2: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm,15 in.is heated and shrunk onto a steel cylinder 1500.5 mm in diameter. What is the nor-mal force in the hoop after it has cooleď? Neglect the deformation of the cylinder,and use E == 200 GPa for steel.0.125 in.Problem 3: The timber member has a cross-sectional area of 1750 mm² and its modulusof elasticity is 12 GPa. Compute the change in the total length of the member afterthe loads shown are applied.40 kN35 kN20 kND+1.5 m-3 m3 m

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Answered: Problem 1: The steel rod is placed…

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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SITUATION. A steel plate ABCD of thickness t = 5mm is subjected to uniform stresses: = 100 MPa 0₂ = -60 MPa. Ox E =200GPa, v= 1/3 a = 160mm and b = 200 mm Calculate the change in thickness (mm). -0.0023 mm 0.0023 mm O O 0.0045 mm - 0.0045 mm Ł B AL C D X
SITUATION. 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. a b C P Steel: A-900 mm² Bronze: A=1200 mm² E = 83 GPa L=2.0 m E = 200 GPa L=1.5m What is the value of P without exceeding the allowable stress of bronze, in kN? O 161 O 174 O 145 124 4
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 bar
2. (3 points) When loading is applied at a point on a body, the stress distributions at different cross sections are different. However, the stress distribution becomes uniform at locations far from the applied load. This is due to which principle? Name the principle. P Load distorts lines located near load P P C C Lines located away from the load and support remain straight P O avg A section a-a section b-b section c-c -Load distorts lines located near support Your answer
fast
The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 11 mm and an elastic modulus of E = 78 GPa. The steel rod has a diameter of 16 mm and an elastic modulus of E = 200 GPa. Assumea = 4.1 m, b= 1.2 m, and c= 1.2 m. What is the magnitude of load P that is necessary to displace point A 12 mm to the left? a (1) (3) A B (2) Answer: P = i kN
A stress developed if the applied force is parallel to the resisting area refers to: O tangential O bearing O normal. O simple
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 4. In question 3, assume that the bar is free to elongate or shorten, calculate the change in the length of the bar if the temperature drops from 20°C to -20°C.
1/2 Problem 1: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown in. If the stress must not exceed 14OMPA in either rod, determine the smallest allowable value of the diameter of rod AB and ВС. 300mm B 40 kN 250mm - d2 30 kN

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Problem 1: The steel rod is placed inside the copper tube, the length of each being ex-, actly 15 in. If the assembly is compressed by 0.0075 in., determine the stress in each component and the applied force P. The moduli of elasticity are 29 x 10 psi for steel and 17 x 10° psi for copper.