Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 11.4, Problem 11.37P
To determine
The absolute maximum bending
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11-89. A kog that is 06 m in diameter is to be cut into a
rectangular section for use as a simply supported beam. If
the allowable bending stress for the wod is o = 56MP2,
determine the required width b and height h of the beam
that will support the largest load possible. What is this load?
-0.6m-
-24 m-
-24m
The tapered beam supports a uniform distributed load w. If it is made from a plate and has a constant width b, determine the absolute maximum bending stress in the beam.
11-27. The steel cantilevered T-beam is made from two
plates welded together as shown. Determine the maximum
loads P that can be safely supported on the beam if the
allowable bending stress is oallow
allowable shear stress is
= 170 MPa and the
Tallow
= 95 MPa.
150 mm
H, 15 mm
T150 mm
P
15 mm
2 m
2 m
Chapter 11 Solutions
Mechanics of Materials (10th Edition)
Ch. 11.2 - Determine the minimum dimension a to the nearest...Ch. 11.2 - of the rod to safely support the load. The rod is...Ch. 11.2 - The wood has an allowable normal stress of allow =...Ch. 11.2 - of the beam's cross section to safely support the...Ch. 11.2 - Determine the minimum dimension b to the nearest...Ch. 11.2 - The beam is made of steel having an allowable...Ch. 11.2 - Determine its dimensions if it is to be...Ch. 11.2 - Determine the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - If the allowable bending stress is allow = 22 ksi...
Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - The allowable bending stress is allow = 22 ksi and...Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The beam has an allowable normal stress of allow =...Ch. 11.2 - The beam has an allowable normal stress of allow...Ch. 11.2 - If each nail can support a shear force of 200 lb....Ch. 11.2 - If each beam is to be designed to carry 90 lb/ft...Ch. 11.2 - Determine its height h so that it simultaneously...Ch. 11.2 - The beam is constructed from four boards. If each...Ch. 11.2 - Prob. 11.15PCh. 11.2 - The beam has an allowable normal stress of allow....Ch. 11.2 - Determine the maximum cable force P that can...Ch. 11.2 - to safely support the load. The wood has an...Ch. 11.2 - and the wood has an allowable normal stress of...Ch. 11.2 - If the glue can support a shear stress of allow, =...Ch. 11.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 11.2 - Determine the width b if the height h=2b.Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - If the maximum bending stress is not to exceed...Ch. 11.2 - Determine the maximum load that can safely be...Ch. 11.4 - Determine the variation in the width was a...Ch. 11.4 - The tapered beam supports a uniform distributed...Ch. 11.4 - The tapered beam supports the concentrated force P...Ch. 11.4 - The beam is made from a plate that has a constant...Ch. 11.4 - Determine the variation in the depth d of a...Ch. 11.4 - Determine the variation of the radius r of the...Ch. 11.4 - Prob. 11.37PCh. 11.4 - Determine the variation in the width b as a...Ch. 11.4 - The tubular shaft has an inner diameter of 15 mm....Ch. 11.4 - Prob. 11.40PCh. 11.4 - Prob. 11.41PCh. 11.4 - The pulleys fixed to the shaft are loaded as...Ch. 11.4 - Prob. 11.43PCh. 11.4 - Prob. 11.44PCh. 11.4 - Prob. 11.45PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.3RPCh. 11 - Determine the shaft's diameter to the nearest...Ch. 11 - Select the lightest-weight wide-flange beam from...Ch. 11 - The simply supported joist is used in the...Ch. 11 - The simply supported joist is used in the...Ch. 11 - by 4-in. pieces of wood braced as shown. If the...
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- The cantilevered beam has a circular cross section. If it supports a force P at its end, determine its radius y as a function of x so that it is subjected to a constant maximum bending stress sallow throughout its length.arrow_forward11-22. Determine the minimum depth h of the beam to the nearest multiples of 5 mm that will safely support the loading shown. The allowable bending stress is oallow = 147 MPa and the allowable shear stress is 7allow = 70 MPa. The %3| beam has a uniform thickness of 75 mm. 60 kN/m A B- -3.6 m 1.8 marrow_forwardDetermine the absolute maximum bending stress in the beam, assuming that the support at B exerts a uniformly distributed reaction on the beam. The cross section is rectangular with a base of 3 in. and height of 6 in.arrow_forward
- If the beam has a square cross section of 9 in. on each side, determine theabsolute maximum bending stress in the beam.arrow_forwardIf d = 450 mm, determine the absolute maximum bending stress in the overhanging beam.arrow_forwardI1-47. The beam is made from three boards nailed together as shown. If the moment acting on the crass section is M= 600 N- m, determine the maximum bending stress in the beam. Sketch a three-dimensional view af the stress distribution and cover the cross section. 25 mm 150 mm -20 mm 200 mim M- 600 Nm 20arrow_forward
- Determine the absolute maximum bending stress in the beam. Each segment has a rectangular cross section with a base of 4 in. and height of 12 in.arrow_forward11-53. An A36 stel strip has an allowable bending stress of 165 MP. If it is rolled up, determine the smallest radius r of the spool if the strip has a width of 10 mm and a thickness of 15 mm. Alsa, find the coresponding maximum internal moment developed in the strip.arrow_forwardIf the beam is subjected to a moment of M = 45 kN # m, determine the maximum bending stress in the A-36 steel section A and the 2014-T6 aluminum alloy section B.arrow_forward
- The member has a circular cross section. If the allowable bending stress is sallow = 100 MPa, determine the maximum moment M that can be applied to the memberarrow_forwardI1-94. The beam has a rectangular cross section as shown. Determine the largest intensity w of the uniform distributed load so that the bending stress in the heam does not exceed "=10 MPa. 50 mm pso mmarrow_forward11-34. The beam has a constant thickness b. If it supports the distributed loading shown, determine the maximum bending stress max in the beam. ho. 1/20 WO 2ho Prob. 11-34 1/24 I hoarrow_forward
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Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License