In: Civil Engineering

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

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

A circular shaft, 100 mm diameter is subjected to combined
bending moment and torque, the bending moment being 3 times the
torque. If the direct tension yield point of the material is 300
MN/m2 and the factor of safety on yield is to be 4, calculate the
allowable twisting moment by the three following theories of
failure:
(a) Maximum principal stress theory
(b) Maximum shear stress theory
(c) Maximum shear strain energy theory.

3.7-4 A solid steel shaft ABC with diameter d=40 mm is driven at
A by a motor that transmits 75kW to the shaft at 15 Hz. The gears
at B and C drive machinery requiring power equal to 50kW and 25 kW,
respectively. Compare the maximum shear stress and angle of twist
in the shaft between the motor at A and the gear at C. Assume that
G=75 GPa.

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.}

Assume if the shear stress in steel exceeds about
4.00x108 N/m2 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

A solution is 3.24 M NH3 (MM 17.04 g/mol) in water
(MM 18.02 g/mol). The density of the resulting solution is 0.974
g/mL. What is the mole fraction, mass percent and molality of
NH3 in the solution?

A circular solid shaft rotating at n=1000n=1000 rpm suports a
bending moment M=200M=200 klbf*in. Compute the life NN for shafts
having four different diameters
d1=2.6,d2=2.32,d3=1.93d1=2.6,d2=2.32,d3=1.93, and d4=4.16d4=4.16
inches. Material properties: SUT=200SUT=200 kpsi, Se=50Se=50 kpsi,
f=0.8,Nt=103,Ne=106f=0.8,Nt=103,Ne=106.

A Styrofoam(k = 0.035 W/m-°C) box has outer dimensions of 250 mm
x 450 mm x 600 mm and is 3 cm thick. Initially, the box is filled
with 40kg of ice at 0°C, and the inner surface temperature of the
ice chest can always be taken to be 0°C. The heat transfer
coefficient between the outer surface of box and surrounding air at
35°C is 20 W/m2 -°C. (a) Determine how long it will take for the
ice in...

Determine the mass of oxygen in a 3.6 g sample of
Al2(SO4)3.
m(O) =

A 150-kg satellite is in circular orbit of radius 7.3 Mm around
Earth. Determine:(a) potential, kinetic, and total mechanical
energies.(b) the orbital speed.(c) the escape velocity from this
altitude.

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