An aluminum bar having a cross-sectional area of 160 mm carries the axial loads as shown in the Figure below. Assume that the bar is suitably braced to prevent buckling and E = 70000 MPa. The length of each bars are follow: B1 = 0.8 m; B2 = 1.0 m; B3 = 0.6 m. Determine the total deformation of the bars B1, B2 and B3 in mm. 35KN В1 B2 B3 ... 10KN 15KN 30KN A 2.5 B 1.79 (c) 0.54 3.75 E 4.83

An aluminum bar having a cross-sectional area of 160 mm carries the axial loads as shown in the Figure below. Assume that the bar is suitably braced to prevent buckling and E = 70000 MPa. The length of each bars are follow: B1 = 0.8 m; B2 = 1.0 m; B3 = 0.6 m. Determine the total deformation of the bars B1, B2 and B3 in mm. 35KN В1 B2 B3 ... 10KN 15KN 30KN A 2.5 B 1.79 (c) 0.54 3.75 E 4.83

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.3P: Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2...

See similar textbooks

Similar questions

Refer to figure STR - 5 Two prismatic bars are rigidly fastened together and support a vertical load of 45kN. The upper bar is of steel having mass density 7750 kg/m^3 , length 10m and cross-sectional area 65 cm^2. The lower bar is of brass having mass density 9000kg/m^3, length 6m and cross-sectional area 50 cm^2. Determine the maximum stress in each material. For steel Es= 200 GN/m^2 and for brass Eb= 100 GN/m^2. I need answer ASAP. Thank you!
A hollow aluminum tube used in a roof structure has an outside diameter d2= 112mm and an inside diameter d1= 80mm. The tube is 2.80m long, and the aluminum has a shear modulus of G= 28GPa.a. If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist, in degrees,when the maximum shear stress is 52MPa?b. What diameter d, in mm, is required for a solid shaft, as shown, to resists the same torque with the same maximum stress?c. What is the ratio of the weight of the hollow tube to the weight of the solid shaft?
A steel rod of length = 3m, diameter = 300 mm and modulus of elasticity = 200 GPa is inserted into an aluminum tube. The aluminum tube as length = 2999.95 mm, wall thickness of 20 mm and modulus of elasticity of 70 GPa. a.) Determine the deformation of each member due to axial compressive force P = 100 KN. b.) Determine the stress in each member. c.) Determine the axial strain if no gap exists.
The beam section given in the figure is under the influence of M = 5 kN.m bending moment. Section C and B ' Calculate the normal stresses that will occur at the points. E = 200 GPa. (N-A axis weight passes through the center.)
A rod with a cross-sectional area of 0.5 in2 is composed of three sections: steel, aluminum, and bronze rigidly attached with each other, aluminum being at the center of the three. Axial loads are applied as follows: 12,000 lbs. going out of steel and 3000 lbs. going out of aluminum. Dtermine the stress in steel, aluminum, and bronze respectively. Draw the free-diagram.
A closed right circular cylinder has radius 4 units and height 18 units A load of an unknown weight is put on top of the cylinder, causing the cylinder to shorten by 2.1 units. Find the new volume of cylinder due to this deformation in the height of the cylinder.
Three bars AB, AC, and AD are pinned together as shown in the figure. Initially, the assembly is stress free. Horizontal movement of the joint at A is prevented by a short horizontal strut AE. Calculate the stress in aluminum bar AC and steel bar AD. Also, find the force in the strut AE when the assembly is used to support the load W = 12.50 kips. For each steel bar, A = 0.4 in2 and E = 29 × 106 psi. For the aluminum bar, A = 0.8 in2 and E = 10 × 106 psi.
Rigid bar ABC is supported by bronze rod and aluminum rod as shown in the figure. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod has an elastic modulus of 15,000ksi and a diameter of 0.65in. Aluminum rod (2) has an elastic modulus of 10,000ksi and a diameter of 0.85in. Aluminum rod (3) has a diameter of 1.20in. The yield strength of the bronze is 52ksi, and the yield strength of the aluminum is 42ksi.a. Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.70 is required.b. Determine the deflection of point D for the load determined in question (a).c. The pin used at B has an ultimate shear strength of 56ksi. If a factor of safety of 3.0 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B.
The lower ends of the three bars in the figure are the same level before the rigid homogeneous W=100 kN block is attached. The properties of the bars are shown in the table. The temperature of the bars is then increased by 80°C. The block is assumed to remain horizontal after all deformations have occured. a.) Which of the following most nearly gives the temperature rise to cause all of the applied loads to be supported by the steel rods? b.) Which of the following most nearly gives the stress developed in the bronze bar? c.) Which of the following most nearly gives the stress developed in the steel bar?
Twelve Which of the following is a deformation? Select one: a. Tension b. Shear c. Compression d. Strain
3. The rigid bar AC is pinned at A and attached to bars DB and CE as shown in the figure. The weight of AC is 50 kN and the weights of the other two bars are negligible. Consider the temperature of both bars DB and CE to be raised 35°C. Find the resulting normal stresses in these two bars. DB is copper for which E = 90 GPa, ? = 18 × 10–6 /°C, and the crosssectional area is 1000 mm2 , while CE is steel for which E = 200 GPa, ? = 12 × 10–6 /°C, and the cross section is 500 mm2 . Neglect any possibility of lateral buckling of the bars.
When an axial load is applied to the ends of the two-segment rod shown in Figure P2.1, the total elongation between joints A and C is 7.5 mm. The segment lengths are a = 1.2 m and b = 2.8 m. In segment (2), the normal strain is measured as 2,075 um/m. Determine:(a) the elongation of segment (2).(b) the normal strain in segment (1) of the rod. (Ans. to check: Normal strain (1) = 825uE