In: Mechanical Engineering

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.

A steel shaft is to be manufactured either as a solid
circular bar or as a circular tube. The shaft is required to
transmit a torque of 1200 N_m without exceeding an allowable shear
stress of 40 MPa nor an allowable rate of twist of0.75°/m. (The
shear modulus of elasticity of the steel is 78 GPa.).
Determine the required outer diameter do of the solid
shaft [58.8 mm]
Determine the required diameter d2of the hollow shaft
if thethickness t of...

A particular manufacturing design requires a shaft with a
diameter between 21.91 mm and 22.018 mm. The manufacturing process
yields shafts with diameters normally distributed, with a mean of
22.003 mm and a standard deviation of 0.006 mm. Complete parts (a)
through (c).
a. For this process what is the proportion of shafts with a
diameter between 21.91 mm and 22.00 mm question mark The proportion
of shafts with diameter between 21.91 mm and 22.00 mm is
nothing.
b. For...

A particular manufacturing design requires a shaft with a
diameter of 17.000 mm, but shafts with diameters between 16.988 mm
and 17.012 mm are acceptable. The manufacturing process yields
shafts with diameters normally distributed, with a mean of 17.004
mm and a standard deviation of 0.004 mm.
Complete parts (a) through (d) below.
a. For this process, what is the proportion of shafts with a
diameter between 16.988mm and 17.000 mm?
The proportion of shafts with diameter between 16.988 mm...

The propeller shaft of a large ship has an outside diameter of
350 mm and inside diameter 250mm. the shaft is rated for a maximum
of shear stress 62 MPa.
1) if the shaft is runnning at 500 rpm what is the maximum power
that can be transmitted without exceeding allowable stress.
2) if the rotational speed of the shaft is doubled but the power
requirements unchanged what happens to the shear stress in the
shaft? calculate valures.

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.

Design 4 bevel gears for a shaft driven bicycle. Make
appropriate assumptions.

After full analysis of a solid steel shaft considering
deflection, strength and vibrations, we come to know that the shaft
design is limited by deflection, which option as a designer would
you pursue, provide reasoningfor your choice.
(a)Increase the shaft diameter but make the shaft hollow while
keeping the weight constant
(b)Keep the shaft diameter constant and select a shaft with
higher strength
(c)Increase the shaft diameter to increase the critical speed
and select a steel with higher strength
(d)Increase...

A circular concrete pile has a low displacement driven with a
diameter of 40 cm and a length of 15 m is impeded in a sandy soil.
The values of the standard penetration number are assigned for each
1 m depth from top to bottom and these numbers are: 6, 7, 9, 8, 12,
13, 12, 15, 15, 13, 18, 22, 28, 30, 27, 12, 15, 16, 30, 27. Fine
the allowable pile capacity of this pile by using Meyerhof’s...

Question 2
2.1 A brass rod of 25 mm in
diameter is enclosed in a steel tube. The tube is 10 mm thick with
an outside diameter of 50 mm. The bar and the tube are initially 1
m long and are rigidly fastened together at each end. Calculate the
stresses in the two materials when the temperature is raised by 80
0C.
2.2 If the composite bar is
then subjected to an axial tensile load of 60 kN, find...

Given: A short
cylinder of steel has a diameter of 150 mm and length of 500 mm. It
comes out of a heat treatment process at a uniform temperature of
200oC and is plunged into an unstirred bath of oil at a
temperature of 20oC.
Find:
Considering heat loss from only the
cylindrical surface (ignore the ends), which orientation would cool
more quickly? One orientation is for the axis to be parallel to
gravity and the other perpendicular to...

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