In: Physics

Assume if the shear stress in steel exceeds about
4.00x10^{8} N/m^{2} the steel
ruptures.

(a) Determine the shearing force necessary to shear a steel bolt 1.25 cm in diameter.

(b) Determine the shearing force necessary to punch a 1.60-cm-diameter hole in a steel plate 0.530 cm thick

Assume that if the shear stress in steel exceeds about
4.00 108 N/m2, the steel
ruptures.
(a) Determine the shearing force necessary to shear a steel bolt
1.10 cm in diameter.
N
(b) Determine the shearing force necessary to punch a
1.75-cm-diameter hole in a steel plate 0.560 cm thick.
N

What Maximum Shear Stress tell you about the failure of material?

Determine the critical resolved shear stress for an iron crystal
which deforms by simultaneous slip on (110) [111], (110) [111],
(110)[111], and (110) [111] when the tensile stress along [010] is
95.2 MPa. {Manual calculations perfectly OK. But it would be good
to do this on a spreadsheet.}

Derive the transformation equations for normal stress and shear
stress acting on the inclined
plane (for 2D case)

The beam is supported by a pin at A and a short link BC.If P = 10kN, determine the average shear stress developed in the pins atA, B, and C . All pins are in double shear as shown, and
each has a diameter of 17mm

Determine the shear stress developed on a 3-m circular shaft
with D=250 mm, G = 83GPa applied with the torque, T = 100 kN-m,
a. at the center of the cross-section
b. at a point 50 mm away from the center
c. at a point 100 mm away from the center
d. maximum distance from the center

(c) Draw a schematic graph of resolved shear stress versus shear
strain for a single crystal of a pure metal. Clearly label the
point of the critical resolved shear stress and the three
subsequent stages of dislocation behaviour. Describe these three
stages.
(d) Explain why the critical resolved shear stress is much lower
than the theoretical strength, based on the force required to break
atomic bonds within the structure.

Express the shear stress at a wall, using the Newtonian
model.

Determine the location of the shear centre of the C-shaped
rolled-steel beam cross-section C150x19.3 with respect to the
centre of the web. Indicate whether it is to the left or right of
the centre of the web. Assume the section to be thin walled and
neglect the rounding of corners.

The allowable normal stress for member BC is σallow = 29 ksi and the allowable shear stress for the pins is τallow = 10 ksi.(Figure 1)FigurePart ADetermine the required thickness of member BC.Express your answer to three significant figures and include the appropriate units.t =Part BDetermine the required diameter of the pin at A.Express your answer to three significant figures and include the appropriate units.dA =Part CDetermine the required diameter of the pin at B.Express your answer to three significant figures and include the appropriate units.dB =

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