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

define the terms - Shear strain in shaft - Shear stress in shaft
- Polar moment of inertia - Polar section modulus - Torsion
rigidity -torsion

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?

1)The stress on the circular footing of 6 m diameter due to
column load is 200 kPa at the level of the footing i.e., z = 0 m.
Calculate the vertical stress at a depth of 2 m, 4 m and 6 m below
the central line of the footing and at edge of the footing. Also,
draw the pressure bulb for 10% intensity of the applied in
conventional graph sheet .
2)There are two borrowing areas ‘A’ and ‘B’...

The
rock from a 3 m radius vertical shaft 412,98 m deep is to be dumped
on level ground.
The base diameter of the dump is limited to 60 m; the angle of
repose of rock = 37°. The ratio of broken to in situ rock =
3:5.
The dump is to be levelled on the top when the shaft is
completed.
Calculate:
a) The volume of rock to be dumped.
b) The vertical height of the completed dump.
c)...

Determine shear force resisted by a Reinforced concrete beam of
size 230 x 450 mm simply supported over an effective span of 5.5 m
which is reinforced with 4 - #16 mm bars in tension, supported with
#8 mm dia 2-legged stirups @ 150 mm c/c upto 0.25 L from end
Support and #8 mm dia 2-legged stirups @ 100 mm c/c at mid-span.
consider moderate exposed conditions, use M20 grade of concrete and
Fe 415 grade of HYSD steel.

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