EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 9780100257061
Author: BEER
Publisher: YUZU
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Chapter 6, Problem 94RP
Knowing that a given vertical shear V causes a maximum shearing stress of 75 MPa in the hat-shaped extrusion shown, determine the corresponding shearing stress at (a) point a, (b) point b.
Fig. p6.94
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PROBLEM 3.11
Knowing that each portion of the shaft AD
consists of a solid circular rod, determine (a) the
portion of the shaft in which the maximum
shearing stress occurs, and (b) the magnitude of
that stress.
56 N.m
[Ans. (a) BC (b) 57.3 MPa]
Tp = ?
135 N.m
45 N.m
dcp - 24 mm
dpc - 20 mm
dAB = 16 mm
Fig. P3.11
22:35
1404/2022 O
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Prob.9: [3.8]
The solid spindle AB is made of steel with an allowable shearing stress of 84
MPa, and sleeve CD is made of a brass with an allowable shearing stress of
50 MPa. Determine (a) the largest torque T that can be applied at A if the
allowable shearing stress is not to be exceeded in sleeve CD, (b) the
corresponding required value of the diameter ds of spindle AB.
T
100 mm
D
200 mm
t = 6 mm
B
C
75 mm
3.5 A torque T = 3 kN • m is applied to the solid bronze cylinder
shown. Determine (a) the maximum shearing stress, (b) the shear-
ing stress at point D, which lies on a 15-mm-radius circle drawn
on the end of the cylinder, (e) the percent of the torque carried
by the portion of the cylinder within the l15-mm radius.
60 mm
30 mm
T=3 kN- m
-
200 min
Fig. P3.5
Chapter 6 Solutions
EBK MECHANICS OF MATERIALS
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Ch. 6.2 - 6.9 through 6.12 For beam and loading shown,...Ch. 6.2 - 6.9 through 6.12 For beam and loading shown,...Ch. 6.2 - 6.13 and 6.14 For a beam having the cross section...Ch. 6.2 - 6.13 and 6.14 For a beam having the cross section...Ch. 6.2 - For a timber beam having the cross section shown,...Ch. 6.2 - Two steel plates of 12 220-mm rectangular cross...Ch. 6.2 - Two W8 31 rolled sections may be welded at A and...Ch. 6.2 - For the beam and. loading shown, determine the...Ch. 6.2 - Fig. P6.19 6.19 A timber beam AB of length L and...Ch. 6.2 - A timber beam AB of Length L and rectangular cross...Ch. 6.2 - 6.21 and 6.22 For the beam and loading shown,...Ch. 6.2 - 6.21 and 6.22 For the beam and loading shown,...Ch. 6.2 - 6.23 and 6.24 For the beam and loading shown,...Ch. 6.2 - 6.23 and 6.24 For the beam and loading shown,...Ch. 6.2 - 6.25 through 6.28 A beam having the cross section...Ch. 6.2 - 6.25 through 6.28 A beam having the cross section...Ch. 6.2 - Prob. 27PCh. 6.2 - 6.25 through 6.28 A beam having the cross section...Ch. 6.5 - The built-up timber beam shown is subjected to a...Ch. 6.5 - The built-up beam shown is made by gluing together...Ch. 6.5 - The built-up beam was made by gluing together...Ch. 6.5 - Several wooden planks are glued together to form...Ch. 6.5 - The built-up wooden beam shown is subjected to a...Ch. 6.5 - Knowing that a W360 122 rolled-steel beam is...Ch. 6.5 - 6.35 and 6.36 An extruded aluminum beam has the...Ch. 6.5 - 6.35 and 6.36 An extruded aluminum beam has the...Ch. 6.5 - Knowing that a given vertical shear V causes a...Ch. 6.5 - The vertical shear is 1200 lb in a beam having the...Ch. 6.5 - The vertical shear is 1200 lb in a beam having the...Ch. 6.5 - 6.40 and 6.47 The extruded aluminum beam has a...Ch. 6.5 - Prob. 41PCh. 6.5 - Prob. 42PCh. 6.5 - Three planks are connected as shown by bolts of...Ch. 6.5 - A beam consists of three planks connected as shown...Ch. 6.5 - A beam consists of five planks of 1.5 6-in. cross...Ch. 6.5 - Four L102 102 9.5 steel angle shapes and a 12 ...Ch. 6.5 - A plate of 14-in. thickness is corrugated as shown...Ch. 6.5 - Prob. 48PCh. 6.5 - An extruded beam has the cross section shown and a...Ch. 6.5 - Prob. 50PCh. 6.5 - The design of a beam calls for connecting two...Ch. 6.5 - The cross section of an extruded beam is a hollow...Ch. 6.5 - Prob. 53PCh. 6.5 - Prob. 54PCh. 6.5 - Prob. 55PCh. 6.5 - 6.56 and 6.57 A composite beam is made by...Ch. 6.5 - 6.56 and 6.57 A composite beam is made by...Ch. 6.5 - Prob. 58PCh. 6.5 - Prob. 59PCh. 6.5 - Prob. 60PCh. 6.6 - 6.61 through 6.64 Determine the location of the...Ch. 6.6 - 6.61 through 6.64 Determine the location of the...Ch. 6.6 - 6.61 through 6.64 Determine the location of the...Ch. 6.6 - Prob. 64PCh. 6.6 - 6.65 through 6.68 An extruded beam has the cross...Ch. 6.6 - 6.65 through 6.68 An extruded beam has the cross...Ch. 6.6 - 6.65 through 6.68 An extruded beam has the cross...Ch. 6.6 - 6.65 through 6.68 An extruded beam has the cross...Ch. 6.6 - 6.69 through 6.74 Determine the location of the...Ch. 6.6 - Prob. 70PCh. 6.6 - Prob. 71PCh. 6.6 - Prob. 72PCh. 6.6 - Prob. 73PCh. 6.6 - Prob. 74PCh. 6.6 - Prob. 75PCh. 6.6 - 6.75 and 6.76 A thin-walled beam has the cross...Ch. 6.6 - 6.77 and 6.78 A thin-walled beam of uniform...Ch. 6.6 - Prob. 78PCh. 6.6 - Prob. 79PCh. 6.6 - Prob. 80PCh. 6.6 - Prob. 81PCh. 6.6 - Prob. 82PCh. 6.6 - Prob. 83PCh. 6.6 - Prob. 84PCh. 6.6 - Prob. 85PCh. 6.6 - Solve Prob. 6.85, assuming that the thickness of...Ch. 6.6 - Prob. 87PCh. 6.6 - Prob. 88PCh. 6 - Three boards are nailed together to form the beam...Ch. 6 - For the beam and loading shown, consider section...Ch. 6 - For the wide-flange beam with the loading shown,...Ch. 6 - For the beam and loading shown, consider section...Ch. 6 - The built-up timber beam is subjected to a 1500-lb...Ch. 6 - Knowing that a given vertical shear V causes a...Ch. 6 - Three planks are connected as shown by bolts of...Ch. 6 - Three 1 18-in. steel plates are bolted to four L6...Ch. 6 - The composite beam shown is made by welding C200 ...Ch. 6 - Prob. 98RPCh. 6 - A thin-walled beam of uniform thickness has the...Ch. 6 - Determine the location of the shear center O of a...
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- 3.51 plzarrow_forwardTwo solid steel shafts are fitted with flanges that are then connected by bolts as shown. The bolts are slightly undersized and permit a 1.5° rotation of one flange with respect to the other before the flanges begin to rotate as a single unit. Knowing that G=77.2 GPa, determine the maximum shearing stress in each shaft when a torque T of magnitude 620 N-m is applied to the flange indicated. The torque T is applied to flange C. (Round the final answers to two decimal places.) 30 mm 600 mm 36 mm T-500 Nm 900 mm The maximum shearing stress in shaft AB is The maximum shearing stress in shaft CD is MPa. MPa.arrow_forwardPROBLEM 3.52 A 4 kNm torque T is applied at end A of the composite shaft shown. Knowing that the shear modulus is 77 GPa for the steel and 27 GPa for the aluminium, determine (a) the maximum shear stress in the steel core, (b) the maximum shear stress in the aluminium jacket, and (c) the angle of twist at A. [Ans. (a) 73.6 MPa (b) 34.4 MPa (c) 5.07°] 72 mm 54 mm 2.5 m Steel core Aluminium jackeť Fig. P3.52 and P3.53 22:37 e dx D 14/04/2022 BANG & OLUFSEN 40 delete home end pg up pg dn num backspace lock W ERT U %23 home og up 4.arrow_forward
- PROBLEM 3.52 A 4 kNm torque T is applied at end A of the composite shaft shown. Knowing that the shear modulus is 77 GPa for the steel and 27 GPa for the aluminium, determine (a) the maximum shear stress in the steel core, (b) the maximum shear stress in the aluminium jacket, and (c) the angle of twist at A. [Ans. (a) 73.6 MPa (b) 34.4 MPa (c) 5.07°] Hint: angle of twist at 72 mm end A is same for core and jacket 54 mm A 2.5 m Steel core Aluminium jacket Fig. P3.52 and P3.53 22:35 BANG & OLUFSEN delete home end og up pg dn num backspace 4 lock Q WE T U 080 home pg uparrow_forwardTwo solid steel shafts are fitted with flanges that are then connected by bolts as shown. The bolts are slightly undersized and permit a 1.5° rotation of one flange with respect to the other before the flanges begin to rotate as a single unit. Knowing that G=77.2 GPa, determine the maximum shearing stress in each shaft when a torque T of magnitude 580 N-m is applied to the flange indicated. The torque T is applied to flange B. 30 mm 600 mm 36 mm T 900 mm The maximum shearing stress in shaft AB is The maximum shearing stress in shaft BC is MPa. MPa.arrow_forwardTwo solid steel shafts are fitted with flanges that are then connected by bolts as shown. The bolts are slightly undersized and permit a 1.5° rotation of one flange with respect to the other before the flanges begin to rotate as a single unit. Knowing that G = 77.2 GPa, determine the maximum shearing stress in each shaft when a torque T of magnitude 500 N·m is applied to the flange indicated.The torque T is applied to flange Barrow_forward
- Two solid steel shafts are fitted with flanges that are then connected by bolts as shown. The bolts are slightly undersized and permit a 1.5° rotation of one flange with respect to the other before the flanges begin to rotate as a single unit. Knowing that G = 77.2 GPa, determine the maximum shearing stress in each shaft when a torque T of magnitude 500 N·m is applied to the flange indicated.The torque T is applied to flange Carrow_forwardShow all workarrow_forwardKnowing that a given vertical shear V causes a maximum shearing stress of 50 MPa in a thin-walled member having the cross section shown, determine the corresponding shearing stress at (a) point a, (b) point b, (c) point c.arrow_forward
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