Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 6, Problem 6.190RP
The curved beam is subjected to a bending moment of M = 85 N · m as shown. Determine the stress at points A and B and show the stress on a volume element located at these points.
R6–6
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Chapter 6 Solutions
Mechanics of Materials
Ch. 6.2 - In each case, the beam is subjected to the...Ch. 6.2 - and then draw the shear and moment diagrams for...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - If the force applied to the handle of the load...
Ch. 6.2 - Draw the shear and moment diagrams for the shaft....Ch. 6.2 - The crane is used to support the engine, which has...Ch. 6.2 - Prob. 6.4PCh. 6.2 - •6–5. Draw the shear and moment diagrams for the...Ch. 6.2 - Express the internal shear and moment in terms of...Ch. 6.2 - Prob. 6.7PCh. 6.2 - Prob. 6.8PCh. 6.2 - Prob. 6.9PCh. 6.2 - Members ABC and BD of the counter chair are...Ch. 6.2 - Prob. 6.11PCh. 6.2 - A reinforced concrete pier is used to support the...Ch. 6.2 - Prob. 6.13PCh. 6.2 - The industrial robot is held in the stationary...Ch. 6.2 - Determine the placement distance a of the roller...Ch. 6.2 - Express the internal shear and moment in the...Ch. 6.2 - Draw the shear and moment diagrams for the beam,...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - The 150-lb man sits in the center of the boat,...Ch. 6.2 - Prob. 6.22PCh. 6.2 - The footing supports the load transmitted by the...Ch. 6.2 - Express the shear and moment in terms of x for 0 ...Ch. 6.2 - Draw the shear and moment diagrams for the beam...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Prob. 6.29PCh. 6.2 - 6–30. The beam is bolted or pinned at A and rests...Ch. 6.2 - The support at A allows the beam to slide freely...Ch. 6.2 - The smooth pin is supported by two leaves A and B...Ch. 6.2 - The shaft is supported by a smooth thrust bearing...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Prob. 6.36PCh. 6.2 - Draw the shear and moment diagrams for the beam...Ch. 6.2 - The beam is used to support a uniform load along...Ch. 6.2 - Draw the shear and moment diagrams for the double...Ch. 6.2 - Draw the shear and moment diagrams for the simply...Ch. 6.2 - The compound beam is fixed at A, pin connected at...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - The compound beam is fixed at A, pin connected at...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - A short link at B is used to connect beams AB and...Ch. 6.2 - 6–46. Determine the placement b of the hooks to...Ch. 6.4 - Determine the moment of inertia of the cross...Ch. 6.4 - Determine the location of the centroid, y, and the...Ch. 6.4 - In each case, show how the bending stress acts on...Ch. 6.4 - Sketch the bending stress distribution over each...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - Prob. 6.47PCh. 6.4 - Determine the moment M that will produce a maximum...Ch. 6.4 - Determine the maximum tensile and compressive...Ch. 6.4 - 6–50. A member has the triangular cross section...Ch. 6.4 - Prob. 6.51PCh. 6.4 - Prob. 6.52PCh. 6.4 - Prob. 6.53PCh. 6.4 - If the built-up beam is subjected to an internal...Ch. 6.4 - If the built-up beam is subjected to an internal...Ch. 6.4 - Prob. 6.56PCh. 6.4 - Prob. 6.57PCh. 6.4 - Prob. 6.58PCh. 6.4 - Prob. 6.59PCh. 6.4 - Prob. 6.60PCh. 6.4 - 6–61. The beam is subjected to a moment of 15 kip...Ch. 6.4 - 6–62. A box beam is constructed from four pieces...Ch. 6.4 - Prob. 6.63PCh. 6.4 - The axle of the freight car is subjected to a...Ch. 6.4 - A shaft is made of a polymer having an elliptical...Ch. 6.4 - Solve Prob. 6-65 if the moment M = 50 N m is...Ch. 6.4 - Prob. 6.67PCh. 6.4 - The shaft is supported by smooth journal bearings...Ch. 6.4 - Prob. 6.69PCh. 6.4 - Prob. 6.70PCh. 6.4 - The boat has a weight of 2300 lb and a center of...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine the smallest allowable diameter of the...Ch. 6.4 - The pin is used to connect the three links...Ch. 6.4 - The shaft is supported by a thrust bearing at A...Ch. 6.4 - Prob. 6.76PCh. 6.4 - If the beam is subjected to an internal moment of...Ch. 6.4 - If the allowable tensile and compressive stress...Ch. 6.4 - If the beam is subjected to an internal moment of...Ch. 6.4 - If the beam is subjected to a moment of M = 100 kN...Ch. 6.4 - If the beam is made of material having an...Ch. 6.4 - The shaft is supported by a smooth thrust bearing...Ch. 6.4 - The shaft is supported by a thrust bearing at A...Ch. 6.4 - If the intensity of the load w = 15 kN/m,...Ch. 6.4 - If the allowable bending stress is allow = 150...Ch. 6.4 - Prob. 6.86PCh. 6.4 - Prob. 6.87PCh. 6.4 - *6–88. If the beam has a square cross section of 9...Ch. 6.4 - If the compound beam in Prob. 642 has a square...Ch. 6.4 - If the beam in Prob. 628 has a rectangular cross...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine, to the nearest millimeter, the smallest...Ch. 6.4 - 6–93. The wing spar ABD of a light plane is made...Ch. 6.4 - Prob. 6.94PCh. 6.4 - Prob. 6.95PCh. 6.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 6.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 6.4 - If the beam in Prob.63 has a rectangular cross...Ch. 6.4 - Prob. 6.99PCh. 6.4 - If d = 450 mm, determine the absolute maximum...Ch. 6.4 - If the allowable bending stress is allow = 6 MPa,...Ch. 6.4 - Prob. 6.102PCh. 6.4 - 6–103. If the overhanging beam is made of wood...Ch. 6.5 - Determine the bending stress at corners A and B....Ch. 6.5 - Determine the maximum bending stress in the beams...Ch. 6.5 - The member has a square cross section and is...Ch. 6.5 - The member has a square cross section and is...Ch. 6.5 - Consider the general case of a prismatic beam...Ch. 6.5 - 6–107. If the beam is subjected to the internal...Ch. 6.5 - 6-108. If the wood used for the T-beam has an...Ch. 6.5 - 6-109. The box beam is subjected to the internal...Ch. 6.5 - 6-110. If the wood used for the box beam has an...Ch. 6.5 - 6-111. If the beam is subjected to the internal...Ch. 6.5 - 6-112. If the beam is made from a material having...Ch. 6.5 - Prob. 6.113PCh. 6.5 - 6-114. The T-beam is subjected to a bending moment...Ch. 6.5 - 6-115. The beam has a rectangular cross section....Ch. 6.5 - For the section, Iy' = 31.7(10-6) m4, Iz' =...Ch. 6.5 - For the section, Iy' = 31.7(10-6) m4, Iz' =...Ch. 6.5 - If the applied distributed loading of w = 4 kN/m...Ch. 6.5 - Determine the maximum allowable intensity w of the...Ch. 6.9 - The composite beam is made of steel (A) bonded to...Ch. 6.9 - The composite beam is made of steel (A) bonded to...Ch. 6.9 - Segment A of the composite beam is made from...Ch. 6.9 - Segment A of the composite beam is made from...Ch. 6.9 - Prob. 6.124PCh. 6.9 - The wooden section of the beam is reinforced with...Ch. 6.9 - The wooden section of the beam is reinforced with...Ch. 6.9 - Prob. 6.127PCh. 6.9 - The steel channel is used to reinforce the wood...Ch. 6.9 - Prob. 6.129PCh. 6.9 - 6-130. The beam is made from three types of...Ch. 6.9 - 6-131. The concrete beam is reinforced with three...Ch. 6.9 - *6-132. The wide-flange section is reinforced with...Ch. 6.9 - Prob. 6.133PCh. 6.9 - If the beam is subjected to a moment of M = 45 kN...Ch. 6.9 - Prob. 6.135PCh. 6.9 - For the curved beam in Fig. 640a, show that when...Ch. 6.9 - The curved member is subjected to the moment of M...Ch. 6.9 - The curved member is made from material having an...Ch. 6.9 - The curved beam is subjected to a moment of M = 40...Ch. 6.9 - The curved beam is made from material having an...Ch. 6.9 - If P = 3 kN, determine the bending stress at...Ch. 6.9 - If the maximum bending stress at section a-a is...Ch. 6.9 - The elbow of the pipe has an outer radius of 0.75...Ch. 6.9 - Prob. 6.144PCh. 6.9 - Prob. 6.145PCh. 6.9 - Prob. 6.146PCh. 6.9 - Prob. 6.147PCh. 6.9 - Prob. 6.148PCh. 6.9 - Prob. 6.149PCh. 6.9 - 6-150. The bar is subjected to a moment of M = 153...Ch. 6.9 - Prob. 6.151PCh. 6.9 - Prob. 6.152PCh. 6.9 - Prob. 6.153PCh. 6.9 - 6-154. The simply supported notched bar is...Ch. 6.9 - Prob. 6.155PCh. 6.9 - *6-156. Determine the length L of the center...Ch. 6.9 - Prob. 6.157PCh. 6.10 - Determine the shape factor for the wide-flange...Ch. 6.10 - 6-159. The beam is made of an elastic plastic...Ch. 6.10 - Prob. 6.160PCh. 6.10 - Prob. 6.161PCh. 6.10 - Prob. 6.162PCh. 6.10 - Determine the plastic moment Mp that can be...Ch. 6.10 - Determine the shape factor for the beam. Prob....Ch. 6.10 - The beam is made of elastic perfectly plastic...Ch. 6.10 - Determine the shape factor for the beam. Prob....Ch. 6.10 - The beam is made of an elastic perfectly plastic...Ch. 6.10 - Prob. 6.168PCh. 6.10 - Prob. 6.169PCh. 6.10 - 6-170. The box beam is made from an...Ch. 6.10 - 6-171. The beam is made from elastic-perfectly...Ch. 6.10 - *6-172. Determine the shape factor for the...Ch. 6.10 - Prob. 6.173PCh. 6.10 - Prob. 6.174PCh. 6.10 - 6-175. The box beam is made from an...Ch. 6.10 - The wide-flange member is made from an elastic...Ch. 6.10 - Prob. 6.177PCh. 6.10 - The plexiglass bar has a stress-strain curve that...Ch. 6.10 - The stress-strain diagram for a titanium alloy can...Ch. 6.10 - A beam is made from polypropylene plastic and has...Ch. 6.10 - Prob. 6.181PCh. 6.10 - The bar is made of an aluminum alloy having a...Ch. 6 - Using appropriate measurements and data, explain...Ch. 6 - Determine the shape factor for the wide-flange...Ch. 6 - Prob. 6.184RPCh. 6 - The compound beam consists of two segments that...Ch. 6 - The composite beam consists of a wood core and two...Ch. 6 - 6-187. Solve Prob. 6-186 if the moment is applied...Ch. 6 - If it resists a moment of M = 125 N m, determine...Ch. 6 - Determine the maximum bending stress in the handle...Ch. 6 - The curved beam is subjected to a bending moment...Ch. 6 - Determine the shear and moment in the beam as...Ch. 6 - A wooden beam has a square cross section as shown...Ch. 6 - Draw the shear and moment diagrams for the shaft...Ch. 6 - The strut has a square cross section a by a and is...
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- Determine moment that will produce a maximum stress of 60 MPa on the cross section. To 3 significant figures.arrow_forward6-54. The beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 600 N - m, determine the maximum bending stress in the beam. Sketch a three-dimensional view of the stress distribution acting over the cross section. 25 mm 150 mm 20 mm 200 mm M - 600N-m 20 mmarrow_forwardIf the internal moment acting on the cross-section is 800 N.m, determine the maximum tensile and compressive bending stresses acting in the beam. Sketch the stress-distribution acting on the cross-section.arrow_forward
- The hook is subjected to the force of 80 lb. Determine the state of stress at point B at section a–a. The cross section has a diameter of 0.5 in. Use the curved-beam formula to calculate the bending stress.arrow_forward6-105. The member has a square cross section and is subjected to a resultant internal bending moment of M = 850 N m as shown. Determine the stress at cach corner and sketch the stress distribution produced by M. Set -30. 725 mm 125 mm 250 mm M-850 N-m Prob. 6-105arrow_forwardDetermine the moment M that will produce a maximum stress of 12 ksi on the cross section.arrow_forward
- Determine the shear stress at points A and B if the beam is subjected to a shear force of V = 600 kN. Represent the state of stress on a volume element of these points.arrow_forwardThe wide-flange beam is subjected to the 50-kN force. Determine the principal stresses in the beam at point A located on the web at the bottom of the upper flange. Although it is not very accurate, use the shear formula tocalculate the shear stress.arrow_forwardIf the beam is made from four plates and subjected to a shear force of V = 20 kN, determine the shear stress at point A. Represent the state of stress on a volume element at this point.arrow_forward
- The box beam is subjected to the 26-kN force that is applied at the center of its width, 75 mm from each side. Determine the principal stresses at point A and show the results in an element located at this point. Use the shear formula to calculate the shear stress.arrow_forwardThe wooden section of the beam is reinforced with two steel plates as shown. If the beam is subjected to a moment of M = 30 kN # m, determine the maximum bending stresses in the steel and wood. Sketch the stress distribution over the cross section. Take Ew = 10 GPa and Est = 200 GPa.arrow_forwardThe steel rod has a circular cross section. If it is loaded by a 500 lb vertical force as shown, determine the normal stress at point A and B on the cross section. Oat A = Oat B = в A 0.6 in | 500 lb 4 in 1.5 in B 2.7 inarrow_forward
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