Reference no: EM13535675
σFor the following cases, sketch the element for the stress state indicated and then draw the Mohr's circle for each case:
a) Uniaxial compression, i.e. σx = -p Mpa
b) Uniaxial tension, i.e. σx = +p Mpa
c) Biaxial compressive stress, i.e. σx = σy = -p Mpa
d) Pure shear, i.e. τxy = +τ Mpa
For the case of the uniaxial compression, determine the maximum shear stresses that exist at that piont. Identify the planes on which they act by drawing the orientation of the element for these shear stresses. Show all stresses that act on the element in this orientation.
For the state of pure shear, determine the values of the maximum and minimum normal stresses that exist at that point. Identify the planes on which they act by drawing the orientation of the element for these normal stresses. Show all stresses that act on the element in this orientation.
In region of two-dimensional space-three fixed charges
: In a region of two-dimensional space, there are three fixed charges: +1 mC at (0, 0), −2 mC at (12 mm, -7 mm), and +3 mC at (-6 mm, 18 mm). What is the direction of the magnitude on the −2-mC charge counterclockwise from the +x-axis?
|
Two cylindrical glass beads each of mass
: Two cylindrical glass beads each of mass m = 32 mg are set on their flat ends on a horizontal insulating surface separated by a distance d = 3 cm. The coefficient of static friction between the beads and the surface is μs = 0.3. The beads are then gi..
|
What is the magnitude of each fixed charge in coulombs
: Four point charges, q, are fixed to the four corners of a square that is 11.2 cm on a side. An electron is suspended above a point at which its weight is balanced by the electrostatic force due to the four point charges, at a distance of 11 nm abo..
|
What is the phase difference between them
: Two sinusoidal waves, identical except for phase, travel in the same direction along a string producing a net wave y'(x, t) = (2.5 mm) sin(17x - 4.0t + 0.840 rad), with x in meters and t in seconds. (Assume that the phase constant for one of the i..
|
Identify the planes on which they act by drawing the
: For the case of the uniaxial compression, determine the maximum shear stresses that exist at that piont. Identify the planes on which they act by drawing the orientation of the element for these shear stresses. Show all stresses that act on the eleme..
|
Make necessary calculations to select the pit from
: A proposed embankment fill requires 8000 cubic meters of compacted soil. The void ratio of the compacted fill is specified as 0.7. Four borrow pits are available along with each of the respective void ratios along with the cost per cubic meter for mo..
|
Determine the reactions at the supports
: he tapered member is fixed connected at its ends A and B and is subjected to a load P = 7 kip at x =30in. Determine the reactions at the supports. The material is 2in. thick and is made from 2014-T6 aluminum (Eal = 10,600ksi).
|
Determine the average normal stress in each post
: The center post B of the assembly has an original length of 124.7mm, whereas posts A and C have a length of 125mm. If the caps on the top and bottom can be considered rigid
|
You are the chief civil engineer for the enhanced
: You are the Chief Civil Engineer for the Enhanced Protein Production Plant on the planet Zog where the gravitational constant is 15 ft/s2. A protein storage tank has developed a structural problem and must be drained. There is a 6 inch diameter orifi..
|