4. The following assembly is made of an Aluminium rod (E = 500 MPa). The diameter of therods is 25mm and 50mm. The ends of the rod are fixed at A and C.A400 mm1400 kNB800 mm(i) Is this a statically indeterminate problem? Why?(ii) Can you draw the axial load diagram without first resolving the reaction forces at A andC?(iii) Determine the reaction forces at A and C.(iv) Draw the axial load diagram.(v) Determine the deformation at section BC.

Answered: Image /qna-images/answer/c95caffa-f3d5-47b2-8146-3aed25942462.jpg

Answered: 4. The following assembly is made of an…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.4.9P: Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For...

See similar textbooks

Similar questions

Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the spring
Consider the sleeve made From two copper tubes joined by tin-lead solder over distance s. The sleeve has brass caps at both ends that are held in place by a steel bolt and washer with the nut turned just snug at the outset. Then, two "loadings" are applied: a = 1/2 turn applied to the nut; at the same time, the internal temperature is raised by ?T = 30°C. (a) Find the forces in the sleeve and boll, Psand PB, due to both the priestess in the bolt and the temperature increase. For copper, use EI= 120 GPa and ac= 17 × W+C; for steel, use E, = 200 GPa and a, = 12 × 10-6/°C. The pitch of the boll threads is p = 1.0 mm. Assume s = 26 mm and bolt diameter dB= 5 mm. (b) Find the required length of the solder joint, s, if shear stress in the sweated joint cannot exceed the allowable shear stress t ™ 18.5 MPa. (c) What is the final elongation of the entire assemblage due to both temperature change A T and the initial prestress in the bolt?
Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kim. L = 3 ft.t = 314 in., b1 2m.b 2.Sin.andElO.400ksi.
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?
Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?
A mountain bike rider going uphill applies a force P = 65 N to each end of the handlebars AB CD, made of aluminum alloy 7075-T6, by pulling on the handlebar extenders (DF on right handlebar segment). Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A), Segments AB and CD are prismatic with lengths Lvand L3 and with outer diameters and thicknesses J01, /01 and d03, /03, respectively, as shown. Segment BC of length L2, however, is tapered, and outer diameter and thickness vary linearly between dimensions at B and C Consider shear, torsion, and bending effects only for segment AD; assume DFis rigid. Find the maximum tensile, compressive, and shear stresses adjacent to support A. Show where each maximum stress value occurs
6 Please help. Provide Free Body Diagram, labeled with appropriate quantities to better understand. Also solve. Thank you.
5. A toggle device is used to compact scrap steel as shown below. If a Safety Factor of 3.5 is desired, and all the connections are pinned, design the 2 links of the toggle to have a circular cross-section and to be made from steel with Sy = 151 ksi and E = 30000 ksi. The force required to crush the shavings is 5000 lb. -Shavings Crushing force = 5000 lb 60 in- 15° 12 Toggle links- Applied force 60 in D = ? Section A-A Length typical both links
Required information Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. Given: P₁ = 65 kN and P2 = 40 kN. Take Es = 200 GPa and Eb = 105 GPa. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. -180- Dimensions in mum Steel B 120- P₁ 40-mm diam. 100 100 DI C Brass 30-mm diam. Determine the reactions at A and E. The reaction at A is The reaction at Eis P2 E KN (Click to select) ✓ KN (Click to select)
You have a bar of AISI 4130 steel, a bar of Aluminum 6061 T4, and a bar of Ti-6AL-4V. All of the bars have identical cross section areas of 1 in^2. An axial stress of 15 ksi is placed on each of the bars. Which bar will be the stiffest? AISI 4130 Steel Aluminum 6061 T4 Ti-6AL-4V All of the bars have the same stiffness

SEE MORE QUESTIONS

Recommended textbooks for you

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS