Concept explainers
Repeat Problem 2.3-4, but now include the weight of the bar. Sec Table 1.1 in Appendix I for the weight density of steel.
The displacements at point
Answer to Problem 2.3.6P
The displacements at point
The displacements at point
The displacements at point
Explanation of Solution
Given information:
The length from point
Write the expression for the elongation at the point B.
Here, the elongation at the point
Write the expression for the elongation at the point
Write the expression for the elongation at the point
Write the expression for the elongation at the point
Calculation:
Refer to appendix
Substitute
Substitute
Substitute
Conclusion:
The displacements at point
The displacements at point
The displacements at point
Want to see more full solutions like this?
Chapter 2 Solutions
Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
- A bar of monel metal with a length L = 9 in. and a diameter d = 0225 in. is loaded axially by a tensile force P (see figure). If the bar elongates by 0.0)95 in., what is the decrease in diameterarrow_forwardA steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is the greatest length (meters) it can have without breaking if the pipe is suspended in the air and the ultimate strength (or breaking strength) is 550 MPa? (b) If the same riser pipe hangs from a drill rig at sea, what is the greatest length? (Obtain the weight densities of steel and sea water from Table M, Appendix I. Neglect the effect of buoyant foam casings on the pipe.)arrow_forwardCompare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?arrow_forward
- Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.arrow_forwardRepeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.arrow_forwardA flat bar of width b and thickness t has a hole of diameter d drilled through it (see figure). The hole may have any diameter that will fit within the bar. What is the maximum permissible tensile load Pmaxif the allowable tensile stress in the material is st?arrow_forward
- The rigid horizontal bar ABC of negligible mass is connected to two rods as shown in the figure. If the system is initially stress-free, a temperature change will cause a tensile stress of 125 MPa in the brass rod. Assume that both rods are subjected to the same change in temperature. a. Calculate the stress in the copper bar (in MPa). b. Calculate the axial deformation in the brass bar (in mm). c. Calculate the axial deformation in the brass bar (in mm). d. Calculate the change in temperature. Indicate increase or decrease in temperature.arrow_forwardA bar of length 5 m is subjected to an axial tensile out of 100 KN The bar is 25 min diameter for 2 mof its length 30 mm diameter for I mor its length, and 20 mm diameter for the remaining 2 m of its length, Taking E= 2 x 10' Calculate the total increase in length of the bur.arrow_forwardSTRENGTH OF MATERIALS A steel bolt and sleeve assembly are shown in the figure. The nut is tightened up on the tube through the rigid end blocks until the tensile force in the bolt is 40kN. If an external load of 30 kN is then applied to the end blocks, tending to pull them apart, estimate the resulting force in the bolt.arrow_forward
- 2. A 2-in.-diameter steel tube with a wall thickness of 0.05 inch just fits in a rigid hole. Find the tangential stress if an axial compressive load of 3140 lb is applied. Assume v=0.30 and neglect the possibility of buckling. data: 2 in Rod Wall Rod Villarrow_forward2. Load-bearing part, as shown in Figure 2.1, find 2.1 Reaction force acting on points A and B 2.2 Then Panyasil recommends to modify the additional section as shown in Figure 2.2 to reduce the reaction force on point B can be reduced. Do students think that Panyasilp's statement is correct (Photo 2.1,2.2 L1=120mm L2=150mm)arrow_forwardProblem 1 of 2: Nodal displacements for the elements 1-3 and 2-3 of a plane truss were determined to be u = 1.5 mm, uz = 0.2 mm, uz = -2.7 mm, v = 3.1 mm, v2 = 3.3 mm, v, =-0.8 mm L. %3D What are their axial stresses, if E = 2.0-101 Pa and L = 2 m for both elements? Solution:arrow_forward
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning