roblem 2: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm,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 cooled? Neglect the deformation of the cylinder,and use E == 200 GPa for steel.roblem 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•A

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Answered: roblem 2: A steel hoop, 10 mm thick and…

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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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
3) The rigid horizontal bar AB is supported by three vertical rods as shown in the figure and carries the load of 110 kN. The system is stress free before the load is applied. After the load was applied, the temperature of all wires is raised by 20°C. Use a = 12x10-6/°C for steel, a = 18x10-6/°C for copper and a = 20x10-6/°C for brass. Neglecting the weight of the bar AB, determine the location of the 110 kN force in order that AB remains horizontal. copper bar: A=195mm? steel bar: brass bar: A=130mm? A=325mm? A C B 110 kN 3.00m 2.00m 1.80m _ 1.20m 1.50m
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
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 95 GPa] with a cross-sectional area of A1 = 260 mm2. Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 690 mm2. All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L1 = 2000 mm, a = 1080 mm, b = 610 mm, c = 460 mm, and L2 = 1380 mm. If a load of P = 100 kN is applied at B, determine(a) the normal stresses in both bars (1) and (2).(b) the downward deflection of point A on the rigid bar.
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roblem 2: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm, 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 cooled? Neglect the deformation of the cylinder, and use E == 200 GPa for steel.