Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 24KCP
What does an asphalt mix consist of? What is the asphalt content of a type IV road-paving asphalt?
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1. Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12
kg. 10 kg. 18 kg and 15 kg respectively and their radii of rotations are 40 mm, 50 mm, 60 mm and
30 mm. The angular position of the masses B, C and D are 60°, 135° and 270 from the mass A.
Find the magnitude and position of the balancing mass at a radius of 100 mm.
[Ans. 7.56 kg: 87 clockwise from A]
3. The structure in Figure 3 is loaded by a horizontal force P = 2.4 kN at C. The roller at E is
frictionless. Find the axial force N, the shear force V and the bending moment M at a section
just above the pin B in the member ABC and illustrate their directions on a sketch of the segment
AB.
B
P
D
A
65°
65°
E
all dimensions in meters
Figure 3
4. The distributed load in Figure 4 varies linearly from 3wo per unit length at A to wo per unit
length at B and the beam is built in at A. Find expressions for the shear force V and the bending
moment M as functions of x.
3W0
Wo
A
L
Figure 4
2
B
Chapter 12 Solutions
Foundations of Materials Science and Engineering
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- 1. The beam AB in Figure 1 is subjected to a uniformly distributed load wo = 100 N/m. Find the axial force N, the shear force V and the bending moment M at the point D which is midway between A and B and illustrate their directions on a sketch of the segment DB. wo per unit length A D' B all dimensions in metersarrow_forward5. Find the shear force V and the bending moment M for the beam of Figure 5 as functions of the distance x from A. Hence find the location and magnitude of the maximum bending moment. w(x) = wox L x L Figure 5 Barrow_forwardDry atmospheric air enters an adiabatic compressor at a 20°C, 1 atm and a mass flow rate of 0.3kg/s. The air is compressed to 1 MPa. The exhaust temperature of the air is 70 degrees hottercompared to the exhaust of an isentropic compression.Determine,a. The exhaust temperature of the air (°C)b. The volumetric flow rate (L/s) at the inlet and exhaust of the compressorc. The power required to accomplish the compression (kW)d. The isentropic efficiency of the compressore. An accounting of the exergy entering the compressor (complete Table P3.9) assuming that thedead state is the same as State 1 (dry atmospheric air)f. The exergetic efficiency of the compressorarrow_forward
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