4. Consider a circular rod of NiTi (Nitinol with radius R and length L. The stress...
A rod, in the form of a cylinder of length L and circular cross-section of radius r, has a resistance R. What is the new value of the resistance R if the length is doubled (2L) and the radius is doubled (2r)?
A steel rod has a radius R of 9.5 mm and a length L or 81 cm. A force F of 6.2 X 104 N stretches it axially. ( Y = 2.0 X 1011 N/m2). a) What is the stress in the rod? b) What is the elongation of the rod under the force. What is the strain?
A cylindrical rod (L = 0.1) (r=7.5mm) is fixed on a
wall. A point c lies on its radius an angle (theta =30 degrees)
from the positive Z axis.
1) Find the state of stress of a cubic element at
location c assuming its in plane stress. Transverse shear for the
circular crossection can be assumed to be tau = 4V/3A where V is
the shear load and A is the area.
2) Assume C is now a small crack...
Q5). (17 pts). The circular Brass rod having a an inner radius r 8 mm and an outer radius = 10 mm, is pinned at each end to the centers of two Brass links, which have a width of 40 mm and a thickness of 12 mm (into the paper). If the temperature of the Brass rod is increased by 45 °C, determine; a) the normal stress in the Brass rod, b) the net change in the length of the...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical position, as shown. m. X P2=?...
Column AB is a circular cross section with a radius of r, and the length L is very long compared to r. One end A of the column AB is fixed and receives a compressive load P acting on the center of B. At this time, what is the minimum radius r of the circular cross section to prevent buckling on the column AB? (However, the elastic modulus of the column AB is E.)
4. A structural steel rod has a radius R of 9.5 mm and a length of 81 cm. A design engincer estimated that the average axial stretching force on this steel rod will be 6.5·104 N t/-10%. What is the average stress on the rod? Will the steel deform permanently under the estimated range of the axial stretching force? (Structural steel's yield strength is approximately 2.5*10* N/m2, beyond this, structural steel will deform permanently.)
Consider 2 metallic strips
[e]. Consider 2 metallic strips A (top) and B (bottom) of identical length (), width (w) and thickness (see the sketch below). Strip A has a higher coefficient of thermal expansion compared to strip B. The strips are bonded together and the temperature is raised by AT 0. What shape will the two strips take? Show it with a sketch. Also, will they have thermal stresses? If so, specify the stress state in each strip. When...
Consider a thin rod of length L whose mass per unit of length is given by λ(x)=M/3L^2(x + L/4). Calculate (a) the mass of the rod and (b) the moment of inertia about an axis through the rod at L/2.
s a section of a conducting rod of radius R, - 1.60 mm and length L-11.60 m inside a thin-waled opducting aylindrical shell of radius R2 11.1R1 and the (same) length L. The net charge on the rod is Qn 4352x 10-12 C; that on the shel is Q2- 2.12Q1. What are the (a) magnitude E and (b) outward) of the electric field at radial distancer 2.07R2? What are (c) E and (d) the direction at is the charge on...