Knowing that the rod is initially unstressed, determine 1 2 14 -in. When the steel bars were fabricated, the distance between the centers of the holes that were to fit on the pins was made Steel 5 mm 0. The steel bars were then placed in Brass an oven to increase their length so that they would just fit on the pins. P Steel Following fabrication, the temperature in the steel bars dropped back to 40 mm room temperature. Determine a the increase in temperature that was required to fit the steel bars on the pins, b the stress in the brass bar after the load is applied to it.
For the added load, the additional deformation is the same for both the steel and the brass. Also, let Ps and Pb be the additional forces developed in the steel and brass, respectively. When the steel bars were fabricated, P Steel 40 mm the distance between the centers of the holes that were to fit on the pins was made 0.
The steel bars were then placed in an oven to increase their length so that they would just fit on the pins. Following fabrication, the temperature in the steel bars dropped back to room temperature. The steel link is heated until the aluminum rod can be fitted freely into the link. Determine the final normal stress a in the rod, b in the link.
It is also the tensile force in the steel link. Knowing that a 0. The test specimen is a 85 -in. Knowing that an elongation of 0. Determine the 50 mm 2. B the total length AD, b the change in diameter at the middle of the rod.
A fabric used in air-inflated structures is subjected to a biaxial 3 in. For this case, which is In many situations, it is known that the normal stress in a given direction is zero. Plane sections perpendicular to the longitudinal axis remain plane and the same distance apart. Knowing that for the plastic 4. The beam must not displace more than 83 in.
Knowing that the maximum allowable shearing stress is 60 psi, determine a the smallest allowable dimension b, b the smallest P required thickness a. Shearing strain: a 1 in. Knowing that a force of mm A mm determine the modulus of rigidity of the rubber used. Determine the R2 largest allowable force P that can be applied to rod A if its deflection is not B 80 mm to exceed 2.
The cube is constrained against deformations in the y and z directions and is subjected to a tensile load of 65 kN in the x direction.
A hole is to be drilled in the plate at A. If the allowable stress in the plate is 21 ksi, determine a the diameter d of the largest bit that can be used if the allowable load P at the hole is to exceed that at the fillets, b the corresponding allowable load P. A centric axial force is applied to the steel bar shown. Knowing that 5 in. After the rod has been 9-mm diameter Rod AB is made of a mild steel that is assumed to be elastoplastic 1.
Determine the required magnitude of Q and high. Determine the required magnitude of Q and d1 too high. Determine the maximum value of the force P and the permanent A force P is applied to the rod until its end A has moved down by an amount B mm set of the rod after the force has been removed. Determine the force P that must be applied to the cylinder. Knowing that the magnitude of P is 4 kN, determine a the value of Q so that the deflection at A is zero, b the corresponding deflection of B.
Member BD is a zero force member. For the loading shown, determine the elongation of a member AB, b member BC. Determine the largest allowable load P if the change in length of member BD is not to exceed 1. Knowing that they support rigid member ABC, determine the maximum force P that can be applied vertically at point A if the deflection of A is not to exceed 0.
Determine the change in length of a member BE, b member CF. Knowing that they support the rigid member BC, determine the deflection of point E. The length of the -in. A vertical load P is applied at the center A of the upper section of a homogeneous frustum of a circular cone of height h, minimum radius a, and maximum radius b.
Denoting by E the modulus of elasticity of the material and neglecting the effect of its weight, determine the deflection of point A. An axial centric force of magnitude P kN is applied to the composite block shown by means of a rigid end plate.
Knowing that h 10 mm, determine the normal stress in a the brass core, b the aluminum plates. Remember me on this computer. Enter the email address you signed up with and we'll email you a reset link.
Need an account? Click here to sign up. Download Free PDF. Usama Mushtaq. A short summary of this paper. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part.
Knowing that the distance between the gage marks is Knowing that allowable length of the pipe, b the required area of the pipe if the tensile load is Determine the largest load that can be applied, A block of in. The knowing that the normal stress must not exceed 18 ksi and that the decrease in length of the block should be at most 0. Knowing length of the bar, b the required dimensions of the cross section if the tensile load is 40 kN.
The maximum force that can be developed in member BD is 0. If the stress must not exceed 18 ksi and the maximum change in 72 in. B 72 in. C 54 in. Knowing 2. With mm diameter is placed inside the tube and the second cover is 25 mm screwed on. Since the rod is slightly longer than the tube, it is mm observed that the cover must be forced against the rod by rotating it one-quarter of a turn before it can be tightly closed.
Determine a the average normal stress in the tube and in the rod, b the deformations of the tube and of the rod. The specimen shown has been cut from a 14 -in. Determine a the total deformation of the specimen, b the deformation of its central portion BC. PLAB lb 1. EAAB 0. PLBC lb 2 in. EABC 0. The rigid plate that is itself attached at C to the bottom of an aluminum cylinder is then hung from a support at D. In order to close the cylinder, the plug must move down through 1 mm. Determine the force P that must be applied to the cylinder.
Knowing that the magnitude of P is 4 kN, determine a the value of Q so that the deflection at A is zero, b the corresponding deflection of B. Member BD is a zero force member. For the loading shown, determine the elongation of a member AB, b member BC. David holds a B. He was employed by General Dynamics Corporation Electric Boat Division for five years; where he provided submarine construction support and conducted engineering design and analysis associated with pressure hull and other structures.
In addition; he conducted research in the area of noise and vibration transmission reduction in submarines. He then taught at Lafayette College for one year prior to joining the civil engineering faculty at the U. Coast Guard Academy; where he has been since He has also worked with the Federal Railroad Administration on their bridge inspection training program.
0コメント