3. An aluminum material element experiences a state of plane stress with the magnitudes and directions of the stress components given in the figure. Please calculate the change in volume per unit volume this material element would experience when subjected to the stress state given in the image below and a temperature increase of 80°C. (Note that the dotted horizontal line and 15 degree angle are irrelevant to this problem). Aluminum Properties: Thermal Coefficient of Expansion = 24 x 10-6 mm/mm/°C, Elastic Modulus = 69 GPa, Poisson Ratio = 0.35 250 MPa 60 MPa 15° 150 MPa

3. An aluminum material element experiences a state of plane stress with the magnitudes and directions of the stress components given in the figure. Please calculate the change in volume per unit volume this material element would experience when subjected to the stress state given in the image below and a temperature increase of 80°C. (Note that the dotted horizontal line and 15 degree angle are irrelevant to this problem). Aluminum Properties: Thermal Coefficient of Expansion = 24 x 10-6 mm/mm/°C, Elastic Modulus = 69 GPa, Poisson Ratio = 0.35 250 MPa 60 MPa 15° 150 MPa

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Please explain step by step so I can understand the answer should be 0.0022 in/in
In any case ,The final answer must be correct. Please include the Diagram
Strain gauges are used to measure small deformations within a certain gauge length. There are several types of strain gauges, but the most dominant type is the electrical strain gauge, which consists of a foil or wire bonded to a thin base of plastic or paper (Figure 1.32). An electric current is passed through the element (foil or wire). As the element is strained, its electrical resistance changes proportionally. The strain gauge is bonded via an adhesive to the surface on which the strain measurement is desired. As the surface deforms, the strain gauge also deforms and, consequently, the resistance changes. Since the amount of resistance change is very small, an ordinary ohmmeter cannot be used. Therefore, special electric circuits, such as the Wheat- stone bridge, are used to detect the change in resistance (Dally and Riley, 2005). Strain gauges are manufactured with different sizes, but the most convenient strain gauges have a gauge length of about 5 to 15 mm. Larger strain gauges…
The stress-strain diagram for a bar of steel alloy is shown. Determine: a) The modulus of Elasticity for the material b) The proportional limit c) The ultimate stress Show a complete solution
Quick
A 5-mm-thick rectangular alloy bar is subjected to ajtensile load P by pins at A and B, as shown in the figure. The width of the bar is w = 33 mm. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: €, =710 με and ε,--255 με (a) Determine Poisson's ratio for this specimen. (b) If the measured strains were produced by an axial load of P = 24 kN, what is the modulus of elasticity for this specimen? Answers: (a) v= (b) E= GPa
Time len A material has the stress-strain behavior shown in the Figure below. Calculate the toughness (T) of this material. given that S1=195 Mpa; S2=243.75 Mpa; El=0.19; E2=0.38 E1 Strain E2 Stress - Strain diagram of a metal alloy OA.T= 18.52 Mpa O B.T= 92.62 Mpa O C.T= 37.05 Mpa O D.T= 60.21 Mpa Stress (Mpa) 3
The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 17N/mm2, find the maximum shear stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm2. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Txy 10 N/mm2
The stress-strain diagram for a steel alloy having an original diameter of 0.5 in. and a gage length of 2 in. is given in the figure. If the specimen is loaded until it is stressed to 70 ksi, determine the approximate amount of elastic recovery and the increase in the gage length after it is unloaded. o (ksi) 80 70 60 50 40 30 20 10 e (in./in.) 0 04 0.08 0.12 0.16 0.20 0.24 0.28 0 0005 0.0010.0015 0.002 0.0025 0.0030.0035
The elastic portion of the tension stress-strain diagram for an aluminum alloy is shown in the figure. The specimen used for the test has a gauge length of 2 in. and a diameter of 0.5 in. If the applied load is 10 kip, determine the new diameter of the specimen. The shear modulus is G al =3.811032 ksi
Mechanics of deformable bodies -Write complete solution
For material, the modulus of rigidity is 100 GPa and the modulus of elasticity is 250 GPa. The value of the Poisson's ratio is