Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 7.3, Problem 7.44P
To determine
The value of shear stress resisted by each seam at the glue joint.
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Hints: Find the closed loop transfer function and then plot the step response for diFerentvalues of K in MATLAB. Show step response plot for different values of K.
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37. The vertical shaft shown in Figure P12-37 is driven at a
speed of 600 rpm with 4.0 hp entering through the bevel
gear. Each of the two chain sprockets delivers 2.0 hp to
the side to drive mixer blades in a chemical reactor vessel.
The bevel gear has a diametral pitch of 5, a pitch diameter
of 9.000 in, a face width of 1.31 in, and a pressure angle
of 20°. Use SAE 4140 OQT 1000 steel for the shaft. See
Chapter 10 for the methods for computing the forces on
the bevel gear.
Figure P12-37: P37-Bevel gear drive with two chain
sprockets
Each problem includes the following details:
■Design the complete shaft, including the specification of
the overall geometry and the consideration of stress con-
centration factors. The analysis would show the minimum
acceptable diameter at each point on the shaft to be safe
from the standpoint of strength.
Homework Problems 12-24, 12-35, and 12-37 from
textbook, done in spreadsheet form. Place drawings of the
load, shear, and bending moment body diagrams…
35. The double-reduction, helical gear reducer shown in
Figure P12-35 transmits 5.0 hp. Shaft 1 is the input,
rotating at 1800 rpm and receiving power directly from an
electric motor through a flexible coupling. Shaft 2 rotates
at 900 rpm. Shaft 3 is the output, rotating at 300 rpm. A
chain sprocket is mounted on the output shaft as shown
and delivers the power upward. The data for the gears
are given in Table 12-5. Each gear has a 1412° normal
pressure angle and a 45° helix angle. The combinations of
left- and right-hand helixes are arranged so that the axial
forces oppose each other on shaft 2 as shown. Use SAE
4140 OQT 1200 for the shafts.
Figure P12-35: P35-Double-reduction helical drive
Each problem includes the following details:
■Design the complete shaft, including the specification of
the overall geometry and the consideration of stress con-
centration factors. The analysis would show the minimum
acceptable diameter at each point on the shaft to be safe
from the standpoint of…
Chapter 7 Solutions
Mechanics of Materials
Ch. 7.2 - In each case, calculate the value of Q and t that...Ch. 7.2 - If the beam is subjected to a shear force of V =...Ch. 7.2 - Determine the shear stress at points A and B if...Ch. 7.2 - Determine the absolute maximum shear stress in the...Ch. 7.2 - If the beam is subjected to a shear force of V =20...Ch. 7.2 - If the beam is made from four plates and subjected...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - Prob. 7.4P
Ch. 7.2 - Prob. 7.5PCh. 7.2 - The wood beam has an allowable shear stress of...Ch. 7.2 - The shaft is supported by a thrust bearing at A...Ch. 7.2 - The shaft is supported by a thrust bearing at A...Ch. 7.2 - Determine the largest shear force V that the...Ch. 7.2 - If the applied shear force V = 18 kip, determine...Ch. 7.2 - The overhang beam is subjected to the uniform...Ch. 7.2 - *7-12. The beam has a rectangular cross section...Ch. 7.2 - Determine the maximum shear stress in the strut if...Ch. 7.2 - Determine the maximum shear force V that the strut...Ch. 7.2 - 7-15. The strut is subjected to a vertical shear...Ch. 7.2 - Prob. 7.16PCh. 7.2 - If the beam is subjected to a shear of V=15 kN,...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - Prob. 7.20PCh. 7.2 - If the beam is made from wood having an allowable...Ch. 7.2 - Determine the shear stress at point B on the web...Ch. 7.2 - Determine the maximum shear stress acting at...Ch. 7.2 - Prob. 7.24PCh. 7.2 - 7-25. Determine the maximum shear stress in the...Ch. 7.2 - 7-26. The beam has a square cross section and is...Ch. 7.2 - The beam is slit longitudinally along both sides....Ch. 7.2 - The beam is to be cut longitudinally along both...Ch. 7.2 - The beam has a rectangular cross section and is...Ch. 7.2 - The beam in Fig.6-48f is subjected to a fully...Ch. 7.3 - The two identical boards are bolted together to...Ch. 7.3 - Two identical 20-mm-thick plates are bolted to the...Ch. 7.3 - The boards are bolted together to form the...Ch. 7.3 - The boards are bolted together to form the...Ch. 7.3 - Prob. 7.32PCh. 7.3 - Prob. 7.33PCh. 7.3 - Prob. 7.34PCh. 7.3 - Prob. 7.35PCh. 7.3 - Prob. 7.36PCh. 7.3 - Prob. 7.37PCh. 7.3 - Prob. 7.38PCh. 7.3 - A beam is constructed from three boards bolted...Ch. 7.3 - The simply supported beam is built up from three...Ch. 7.3 - The simply supported beam is built up from three...Ch. 7.3 - The T-beam is constructed as shown. If each nail...Ch. 7.3 - Prob. 7.43PCh. 7.3 - Prob. 7.44PCh. 7.3 - Prob. 7.45PCh. 7.3 - 7–46. The beam is subjected to a shear of V = 800...Ch. 7.3 - The beam is made from four boards nailed together...Ch. 7.3 - The beam is made from three polystyrene strips...Ch. 7.5 - A shear force of V=300 kN is applied to the box...Ch. 7.5 - A shear force of V=450 kN is applied to the box...Ch. 7.5 - A shear force of V = 18 kN is applied to the box...Ch. 7.5 - A shear force of V = 18 kN is applied to the box...Ch. 7.5 - The aluminum strut is 10 mm thick and has the...Ch. 7.5 - The aluminum strut is 10 mm thick and has the...Ch. 7.5 - Prob. 7.56PCh. 7.5 - Prob. 7.57PCh. 7.5 - Prob. 7.58PCh. 7.5 - Prob. 7.59PCh. 7.5 - The built-up beam is formed by welding together...Ch. 7.5 - The assembly is subjected to a vertical shear of V...Ch. 7.5 - 7–62. Determine the shear-stress variation over...Ch. 7.5 - 7–63. Determine the location e of the shear...Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - The beam supports a vertical shear of V=7 kip....Ch. 7.5 - The stiffened beam is constructed from plates...Ch. 7.5 - The pipe is subjected to a shear force of V=8 kip....Ch. 7.5 - *7–68. A thin plate of thickness t is bent to form...Ch. 7.5 - A thin plate of thickness t is bent to form the...Ch. 7.5 - 7–70. Determine the location e of the shear...Ch. 7 - The beam is fabricated from four boards nailed...Ch. 7 - The T-beam is subjected to a shear of V = 150 kN....Ch. 7 - The member is subject to a shear force of V = 2...Ch. 7 - Determine the shear stress at points B and C on...Ch. 7 - Determine the maximum shear stress acting at...
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- Obtain the response of the system shown below for a parabolic or acceleration input r(t);where Auto Controls Show full solutionarrow_forwardProblem Statement A large plate of insulating material 8 cm thick has in it a 3 cm-diam hole, with axis normal to the surface. The temperature of the surroundings are 1800 K at one side of the plate and 400 K on the other side. Insulating plate D= 3 cm H= 8 cm Considering the sides of the hole to be black, (a) Draw a system of resistors that can be used to solve for the various heat transfer rates. For full credit you must label all "voltages", "currents," and resistances present. (b) Estimate the radiative heat transfer through the hole.arrow_forwardUsing MATLAB, plot the unit-step response curve for the following transfer function and Using MATLAB, obtain the rise time, peak time, maximum overshoot, and settling time. Auto Controls Provide codesarrow_forward
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