Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (10th Edition)
10th Edition
ISBN: 9780134518121
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 6.4, Problem 6.67P
To determine
The absolute maximum bending stress
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1.53 In the steel structure shown, a 6-mm-diameter pin is used at C and
10-mm-diameter pins are used at B and D. The ultimate shearing
stress is 150 MPa at all connections, and the ultimate normal stress
is 400 MPa in link BD. Knowing that a factor of safety of 3.0 is
desired, determine the largest load P that can be applied at A. Note
that link BD is not reinforced around the pin holes.
Front view
D
D
6 mm
18 mm
B
A
B
Side view
160 mm
120 mm
A
B
Top view
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
16: Determine (a) the maximum bending stress, (b)the maximum shearing stress, (c) compressive bending stress atthe roller support, and (d) the shearing stress 1 in below the topsurface of the beam at the location 1 ft to the right of the rollersupport in the simply supported beam shown in Fig. 8-70.ANS: (a) 21,945.313 lb/in2; (b) 1656.25 lb/in2; (c) 10,000 lb/in2; (d) 190.972 lb/in2
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
20: A 2022 Porsche 911 (992) GT3 is crossing a 20 ft bridge. The specification of the car is shown below.Determine the maximum shear (in lb) and moment (in lb-ft) on the bridge.
ANS: Vmax = 2,680.850 lb ; Mmax = 11,233.13 lb-ft
Chapter 6 Solutions
Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (10th Edition)
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 - Draw the shear and moment diagrams for the shaft...
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 - Express the shear and moment in terms of x for 0 ...Ch. 6.2 - Express the internal shear and moment in the...Ch. 6.2 - Draw the shear and moment diagrams for the shaft....Ch. 6.2 - Express the internal shear and moment in terms of...Ch. 6.2 - Draw the shear and moment diagrams for the beam,...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 - 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 - Members ABC and BD of the counter chair are...Ch. 6.2 - A reinforced concrete pier is used to support the...Ch. 6.2 - Draw the shear and moment diagrams for the beam...Ch. 6.2 - The industrial robot is held in the stationary...Ch. 6.2 - Determine the placement distance a of the roller...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 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - The footing supports the load transmitted by 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 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 - 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 - Draw the shear and moment diagrams for the rod....Ch. 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 - The truck is to be used to transport the concrete...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 - An A-36 steel strip has an allowable bending...Ch. 6.4 - Determine the moment M that will produce a maximum...Ch. 6.4 - Determine the maximum tensile and compressive...Ch. 6.4 - The beam is constructed from four pieces of wood,...Ch. 6.4 - The beam is constructed from four pieces of wood,...Ch. 6.4 - The beam is made from three boards nailed together...Ch. 6.4 - The beam is made from three boards nailed together...Ch. 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 - The beam is subjected to a moment of M = 40 kN m....Ch. 6.4 - The steel shaft has a diameter of 2 in. It is...Ch. 6.4 - The beam is made of steel that has an allowable...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 - The axle of the freight car is subjected to a...Ch. 6.4 - The strut on the utility pole supports the cable...Ch. 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 - A timber beam has a cross section which is...Ch. 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 - The beam is subjected to the triangular...Ch. 6.4 - The beam has a rectangular cross section with b =...Ch. 6.4 - Prob. 6.88PCh. 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 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine the smallest diameter of the shaft to...Ch. 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 - The simply supported truss is subjected to the...Ch. 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 - The beam has a rectangular cross section as shown....Ch. 6.4 - The beam has the rectangular cross section shown....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 - Determine the bending stress at point A of the...Ch. 6.5 - Determine the bending stress at point A of the...Ch. 6.5 - The steel shaft is subjected to the two loads. If...Ch. 6.5 - The 65-mm-diameter steel shaft is subjected to the...Ch. 6.5 - For the section, lz = 31.7(10-5) m4, lY =...Ch. 6.5 - For the section, lz, = 31.7(10-5) m4, lY =...Ch. 6.5 - The box beam is subjected to a moment of M = 15...Ch. 6.5 - Determine the maximum magnitude of the bending...Ch. 6.5 - The shaft is subjected to the vertical and...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 - The white spruce beam is reinforced with A-992...Ch. 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 - The Douglas Fir beam is reinforced with A-992...Ch. 6.9 - The steel channel is used to reinforce the wood...Ch. 6.9 - A wood beam is reinforced with steel straps at its...Ch. 6.9 - A bimetallic strip is made from pieces of 2014-T6...Ch. 6.9 - Determine the maximum uniform distributed load w0...Ch. 6.9 - The composite beam is made of A-36 steel (A)...Ch. 6.9 - The composite beam is made of A-36 steel (A)...Ch. 6.9 - If the beam is subjected to a moment of M = 45 kN...Ch. 6.9 - The Douglas Fir beam is reinforced with A-36 steel...Ch. 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 - If the bar is subjected to a couple as shown,...Ch. 6.9 - The curved bar used on a machine has a rectangular...Ch. 6.9 - The steel rod has a circular cross section. If it...Ch. 6.9 - If it is subjected to a moment of M = 5 kN m,...Ch. 6.9 - The member has a circular cross section. If the...Ch. 6.9 - The curved bar used on a machine has a rectangular...Ch. 6.9 - The bar is subjected to a moment of M = 100 N, m....Ch. 6.9 - The allowable bending stress for the bar is allow...Ch. 6.9 - The bar has a thickness of 1 in. and the allowable...Ch. 6.9 - The bar has a thickness of 1 in. and is subjected...Ch. 6.9 - The bar has a thickness of 0.5 in. and the...Ch. 6.9 - If the radius of each notch on the plate is r = 10...Ch. 6.9 - The stepped bar has a thickness of 10 mm....Ch. 6.9 - The bar has a thickness of 0.5 in. and is...Ch. 6.10 - Determine the shape factor for the wide-flange...Ch. 6.10 - The wide-flange member is made from an elastic...Ch. 6.10 - The rod has a circular cross section. If it is...Ch. 6.10 - The rod has a circular cross section. If it is...Ch. 6.10 - The beam is made of an elastic perfectly plastic...Ch. 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 - Prob. 6.170PCh. 6.10 - The rod has a circular cross section. If it is...Ch. 6.10 - Determine the shape factor of the cross section....Ch. 6.10 - The beam is made of elastic perfectly plastic...Ch. 6.10 - Determine the shape factor for the member having...Ch. 6.10 - Determine the shape factor of the cross section....Ch. 6.10 - The box beam is made of an elastic perfectly...Ch. 6.10 - The beam is made of an elastic perfectly plastic...Ch. 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 - The bar is made of an aluminum alloy having a...Ch. 6.10 - The beam is made of phenolic, a structural...Ch. 6 - Using appropriate measurements and data, explain...Ch. 6 - Determine the shape factor for the wide-flange...Ch. 6 - The compound beam consists of two segments that...Ch. 6 - The composite beam consists of a wood core and two...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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- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. Answers: P1 = 208.625 KN/M P2 = 281.310 KN/M P = 15.491 KN/M FB = 463.402 MPA FV = 55.034 MPAarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 18: Determine the maximum shear and moment that would be experienced by a 10 m beam if a three-wheelmoving load of 10 kN, 30 kN, and 5 kN respectively will pass it by. The distance between the 1st and 2nd load is 1 m and the distance between the 2nd and 3rd load is 3 m.ANS: Vmax = 40 kN ; Mmax = 100.014 kN-marrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 5: A 12-m simply supported bridge is constructed with 100-mm concrete slab deck supported by precastconcrete stringers spaced 800 mm on center. Analyze the stringers when subjected to a moving load consisting of 3 evenly spaced axle loads at 3 m and equivalent to 20 kN, 30 kN and 40 kN respectively. The self-weight of the stringers is 8.5 kN/m and the concrete deck has a unit weight of 24 kN/m3 . Neglect all other superimposed loads. Calculate: (a) the maximum shear force in the stringers; (b) the maximum bending moment in the stringers. Answer: Vmax = 135.020 KN, Mmax = 477.388 KN-Marrow_forward
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