Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.58 in. and an elastic modulusof 2430 ksi. Bar (2) has a cross-sectional area of 0.714 in and an elastic modulus of 4110 ksi. Assume Ly-18 in., Lz-47in, Q=6,4 kips,P-3.2 kips, and R-128 kips. Determine the horizontal deflection of end Crelative to end A.(1)Answer: uCAin.

In engineering, the deviation (Deflection) is the degree to which a structural element is removed…

Answered: Two polymer bars are connected to a…

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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1. For each state of plane stress shown below, i.e., for configurations (a) and (b), indicate whether each component of the state of strain is: = 0 (equal to zero) >0 (greater than zero) <0 (less than zero) The material is linear elastic with Possion's ratio is between (0, 0.5), and the deformations are small. T 30 e X 0 Ex Ey Ez Yxy Yyz Yzx (a) (b) 1° (b) 1x
The composite bar of neglible mass is connected to two rods as shown in the figure. If the system is initially free, determine the temperature change that will cause a tensile stress of 60 Mpa in the steel rod.
Problem # 2. At room temperature (20°C) a 0.5-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 140 °C, determine (a) the normal stress in the aluminum rod Ans: A -300 mm Aluminum A = 2000 mm² E = 75 GPa α = 23 x 16-6/°C 0.5 mm -250 mm Stainless steel A = 800 mm² B E = 190 GPa a = 17.3 x 10-6/°C
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 760 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 110 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 11 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam.
A cylindrical specimen of some metal alloy having an elastic modulus of 101 GPa and an original cross-sectional diameter of 3.6 mm will experience only elastic deformation when a tensile load of 2430 N is applied. Calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.41 mm. i mm
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 680 mm. The cross-sectional dimensions of the beam are b, = 36 mm, d1 = 95 mm, b2 = 22 mm, d2 = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 11 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 M d2 d1 |A В b1 Answer: M = N-m
At room temperature (20°C) a 0.7-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 150°C, determine: (a.)The normal stress in the aluminum rod, (b.) The change in length of the aluminum rod. 0.7 mm 300 mm A Aluminum A =2,000 mm² E= 75 GPa α = 23 x 106/°C 250 mm B Stainless steel A = 800 mm² E = 190 GPa a = 17.3 x 10-6/°C
The material returns to its original shape when the load is removed. (A Elastic Limit B Elastic Behavior Limit c) Maximum Limit D D Proportional Limit
1. At a temperature of 5°C, a 3-mm gap exists between the end of polymer bar (1) and support A as shown. Bar (1) is 50 mm wide and 20 mm thick (E = 800 MPa, a = 140 x 10-6/°C). Bar (2) is 75 mm wide and 25 mm thick (E = 2.7 GPa, a = 67 x 106/°C). The supports at A and C are rigid (i.e., fixed). Determine: a) the temperature at which the normal stress in bar (2) will be equal to -3.0 MPa, and b) the lengths of the two polymer bars at this temperature. (1) 3-mm gap 50 mm 500 mm B 75 mm 400 mm (2)
Knowing that a 0.02in gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to -11ksi, (b) the corresponding exact length (2 decimal places in 103 inches) of the aluminum bar. 0.02 in. 14 in. Bronze A = 2.4 in² E = 15 × 106 psi a = 12 x 10-6/°F 18 in. Aluminum A = 2.8 in² E = 10.6 × 106 psi a = 12.9 x 10-6/°F
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In a laboratory test of a beam loaded by end couples, the fiber at layer AB as shown are found to increase 20 x 103 mm while those at CD decrease 60 x 103 mm in the 230- mm-gage length. Using E = 180 GPa, determine the flexural stress at the top fiber. Answer must be in MPa. Given: a = 40 mm, b = 130 mm, and c= 70 mm. gage length a mm A B. b mm c mm

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