The question is below The compound bar has an assembly shown.AB is steel (E, 200GPA, a, 11.7 x 10/°C)BC is brass (E, 105 GPa, a, 20.9 x 10/°C)Supports are fixed and unyielding. The rods are initiallystressed free. Determine the stress(MPa) in steel for atemperature rise of 150 °C. Neglect the weight of thematerials.30-mam diameter250 mm50-mm diameter300 mm

Change in length of Ab due to temperature is δLABtemp=αΔTL=11.7×10-6×150×250 mm=0.43875Change in…

Answered: The compound bar has an assembly shown.…

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 (? =5.6 ? 10^6 ???) and aluminum (? = 3.7 ? 10^6 ???) cylinders are bonded together at B, and are attached to fixed supports A and C. Determine (a) The torsion in AB, (b) The torsion in BC, (c) The maximum shearing stress in AB (d) The maximum shearing stress in BC.
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
4.1 The aluminum rod AB (Gal = 27 GPa) is bonded to the brass rod BD (Gbr = 39 GPa). The portion CD of the brass rod is hollow and has an inner diameter of 40 mm. If the allowable shear stresses for the aluminum and brass are 90 MPa and 70 MPa, respectively, and the allowable angle of twist of the free end A is 6 degrees, determine the maximum permissible value of T.
The compound bar has an assembly shown. AB is steel (E,-200GPaa, =11.7x106/C) BC is brass (Ep =105 GPa,aB=20.9x10-6/C) Supports are fixed and unyielding. The rods are initially stressed free. Determine the stress in brass for a temperature rise of 250 degree C. Neglect the weight of the materials. Answer in MPa and round off to two decimals 30-mm diameter 250 mm B 50-mm diameter 300 mm
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
The rigid bar AB, attached to two vertical rods as shown in Fig. is horizontalbefore the load P is applied. Determine the maximum value for P If the stress must not exceed: 160 MPa for steel and 80 MPa for Bronze. Then determine the vertical movement of P. STEEL Lm A-400 mm E-200 GPa BRONZE L-5m A-500 mm E-80 GPa 3m
Determine the force P necessary to close the gap at the steel post. The steel post is 2 inch x 2 inch square and 8 in high. The aluminum alloy bar is 1.5 inch wide by 1 inch thick and 20 in long. The horizontal bar is considered rigid as are the loading caps at the steel post. The modulus of elasticity for the steel is 30,000 ksi, that of aluminum is 10,000 ksi. The yield stress for the steel is 36 ksi, that of the aluminum is 40 ksi. 8" 10" Steel 10" Rigid Aluminum 20 inches long * P 10" Gap = 0.02 inches
The member consists of the steel rod AB that is screwed into the end of the bronze rod BC. Find the largest value of P that meets the following design criteria: (i) the overall length of the member is not to change by more than 3 mm; and (ii) the stresses are not to exceed 140 MPa in steel and 120 MPa in bronze. The moduli of elasticity are 200 GPa for steel and 80 GPa for bronze. A Steel 1.0 m A = 480 mm² В 3P Bronze A = 650 mm² 2 m 2P
2. The bronze bar 3 m long with a cross-sectional area of 350mm2 is placed between two rigid walls. At a temperature of -20 oC, there is a gap of 2.2 mm. Find the temperature atwhich the compressive stress in the bar will be 30 MPa ifthe bar will experience:a. No tensile.b. With an tensile of 5,000 N.Use α = 18.0 x 10-6 /oC and E = 80 GPa.
Determine the normal stress (in Mpa) in member AC of the truss shown if it is made up of a 22-mm-square bar of alloy and the load P is 20.15 kN. Express your answer in two decimal places.
The solid cylinders AB and BC are bonded together at B and are attached to fixed supports at A and C. Knowing that the modulus of rigidity is 3.7E6 psi for aluminum and 5.6E6 psi for brass, determine the maximum shearing stress in cylinder AB And cylinder BC in ksi. 1 Aluminum T= 19.6 kip-in. Brass A - 1.4 in. B <-2.1 in. C 10 in. 15 in.
2- A steel pod is stretek between two rigid walls ard carries a tensile Coad 4GO0ON at c f the allowatle Stress is not to excred 130 MPa at -4C, what is the minimum the nd? diameter f ard E= J00 GPa. Figure: ST L

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