Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 11.4, Problem 93P
To determine
Find the minimum dimension (d) of the beam.
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If the simply supported beam is subjected to the load shown below, determine the following:
c- c - The internal bending moment acting on the cross-section through point C.
d- d- The shear stress at section C.
Determine the ff:
•Internal bending moment at point c
•internal shear force at point c
•internal normal force at point c
Asap please.
The aluminium machine part shown below is subjected to a moment of M
= 75 N.m. Determine the bending stress created at points B and A on the
cross section. Sketch the results on a volume element located at each of
these points.
A-
50mm
50mm
100mm
100mm
20mm
B-
M=8kN-m
20mm
Chapter 11 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 11.2 - In each case, the beam is subjected to the...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - In each ease, express the shear and moment...Ch. 11.2 - Prob. 5FPCh. 11.2 - Prob. 6FPCh. 11.2 - In each ease, draw the shear and moment diagrams...Ch. 11.2 - Prob. 8FPCh. 11.2 - Prob. 1P
Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - Express the shear and moment in terms of x for 0 ...Ch. 11.2 - Express the internal shear and moment in the...Ch. 11.2 - Prob. 6PCh. 11.2 - Express the internal shear and moment in terms of...Ch. 11.2 - Draw the shear and moment diagrams for the beam,...Ch. 11.2 - If the force applied to the handle of the load...Ch. 11.2 - Draw the shear and moment diagrams for the shaft....Ch. 11.2 - The crane is used to support the engine, which has...Ch. 11.2 - Prob. 12PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Members ABC and BD of the counter chair are...Ch. 11.2 - A reinforced concrete pier is used to support the...Ch. 11.2 - Draw the shear and moment diagrams for the beam...Ch. 11.2 - The industrial robot is held in the stationary...Ch. 11.2 - Determine the placement distance a of the roller...Ch. 11.2 - Prob. 20PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - The 150-lb man sits in the center of the boat,...Ch. 11.2 - Prob. 24PCh. 11.2 - The footing supports the load transmitted by the...Ch. 11.2 - Prob. 26PCh. 11.2 - Prob. 27PCh. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Prob. 30PCh. 11.2 - Prob. 31PCh. 11.2 - Prob. 32PCh. 11.2 - The shaft is supported by a smooth thrust bearing...Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Draw the shear and moment diagrams for the rod....Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - Prob. 38PCh. 11.2 - Draw the shear and moment diagrams for the double...Ch. 11.2 - Draw the shear and moment diagrams for the simply...Ch. 11.2 - The compound beam is fixed at A, pin connected at...Ch. 11.2 - Draw the shear and moment diagrams for the...Ch. 11.2 - The compound beam is fixed at A, pin connected at...Ch. 11.2 - Draw the shear and moment diagrams for the beam....Ch. 11.2 - A short link at B is used to connect beams AB and...Ch. 11.2 - The truck is to be used to transport the concrete...Ch. 11.4 - Determine the moment of inertia of the cross...Ch. 11.4 - Prob. 3PPCh. 11.4 - In each case, show how the bending stress acts on...Ch. 11.4 - Prob. 5PPCh. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - Prob. 12FPCh. 11.4 - If the beam is subjected to a bending moment of M...Ch. 11.4 - An A-36 steel strip has an allowable bending...Ch. 11.4 - Determine the moment M that will produce a maximum...Ch. 11.4 - Determine the maximum tensile and compressive...Ch. 11.4 - The beam is constructed from four pieces of wood,...Ch. 11.4 - The beam is constructed from four pieces of wood,...Ch. 11.4 - The beam is made from three boards nailed together...Ch. 11.4 - Prob. 53PCh. 11.4 - If the built-up beam is subjected to an internal...Ch. 11.4 - If the built-up beam is subjected to an internal...Ch. 11.4 - Prob. 56PCh. 11.4 - Determine the moment M that should be applied to...Ch. 11.4 - Prob. 58PCh. 11.4 - Prob. 59PCh. 11.4 - The beam is subjected to a moment of 15 kip ft....Ch. 11.4 - The beam is subjected to a moment of 15 kip ft....Ch. 11.4 - Prob. 62PCh. 11.4 - The steel shaft has a diameter of 2 in. It is...Ch. 11.4 - The beam is made of steel that has an allowable...Ch. 11.4 - Prob. 65PCh. 11.4 - Solve Prob. 11-65 if the moment M = 50 N m is...Ch. 11.4 - The shaft is supported by smooth journal bearings...Ch. 11.4 - Prob. 68PCh. 11.4 - Prob. 69PCh. 11.4 - The strut on the utility pole supports the cable...Ch. 11.4 - Prob. 71PCh. 11.4 - Prob. 72PCh. 11.4 - Determine the smallest allowable diameter of the...Ch. 11.4 - Prob. 74PCh. 11.4 - The shaft is supported by a thrust bearing at A...Ch. 11.4 - If the intensity of the load w = 15 kN/m,...Ch. 11.4 - If the allowable bending stress is allow = 150...Ch. 11.4 - The beam is subjected to the triangular...Ch. 11.4 - The beam has a rectangular cross section with b =...Ch. 11.4 - Determine the absolute maximum bending stress in...Ch. 11.4 - If the compound beam in Prob. 11-42 has a square...Ch. 11.4 - Prob. 82PCh. 11.4 - Prob. 83PCh. 11.4 - Determine, to the nearest millimeter, the smallest...Ch. 11.4 - Prob. 85PCh. 11.4 - Determine the absolute maximum bending stress in...Ch. 11.4 - Determine the smallest diameter of the shaft to...Ch. 11.4 - Prob. 88PCh. 11.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 11.4 - The simply supported truss is subjected to the...Ch. 11.4 - Prob. 92PCh. 11.4 - Prob. 93PCh. 11.4 - Prob. 94PCh. 11.4 - The beam has the rectangular cross section shown....Ch. 11.5 - Determine the bending stress developed at corners...Ch. 11.5 - Prob. 15FPCh. 11.5 - Prob. 96PCh. 11.5 - Prob. 97PCh. 11.5 - Prob. 98PCh. 11.5 - Prob. 99PCh. 11.5 - Determine the bending stress at point A of the...Ch. 11.5 - The steel shaft is subjected to the two loads. If...Ch. 11.5 - Prob. 102PCh. 11.5 - Prob. 103PCh. 11.5 - Prob. 104PCh. 11 - Determine the shape factor for the wide-flange...Ch. 11 - The compound beam consists of two segments that...Ch. 11 - A shaft is made of a polymer having a parabolic...Ch. 11 - Determine the maximum bending stress in the handle...Ch. 11 - Determine the shear and moment in the beam as...Ch. 11 - A wooden beam has a square cross section as shown....Ch. 11 - Prob. 7RPCh. 11 - The strut has a square cross section a by a and is...
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- If M=2.5kip.ft, determine the magnitute of the resultant force the bending stresses produce on the top board A of the beam.arrow_forwardThe eye hook has the dimensions shown. If it supports a cable loading of 800 lb, determine the maximum normal stress at section a–a and sketch the stress distribution acting over the cross section. Use the curved-beam formula to calculate the bending stress.arrow_forwardFor the beam in question 1, determine the maximum bending and shear stressesat point C, at point P of the section. Represent the stress cube.arrow_forward
- If P = 3 kN, determine the bending stress at points A, B, and C of the cross section at section a–a. Using these results, sketch the stress distribution on section a–a.arrow_forward5. If the radius of each notch on the pictured bending plate is r = 10 mm, determine the largest moment M that can be applied if the loading is of fatigue nature and the maximum allowable bending stress is 180 MPa. 20 mm 125 mm- 165 mm Marrow_forwardIf the allowable bending stress is sallow = 150 MPa, determine the maximum intensity w of the uniform distributed load.arrow_forward
- The strut has a square cross section a by a and is subjected to the bending moment M applied at an angle as shown. Determine the maximum bending stress in terms of a, M, and u. What angle u will give the largest bendingstress in the strut? Specify the orientation of the neutral axis for this case.arrow_forwardDetermine the internal normal force at point C, if F = 48 kN . Determine the shear force at point C Determine the bending moment at point Carrow_forward2. If the allowable bending stress for the pictured overhanging beam is 6 MPa, determine the minimum dimension d of the beam's cross-sectional area to the nearest mm. 8 kN/m 4 m B 2 m- 12 kN 25 mm 75 mm 125 mm 75 mm 25 mmarrow_forward
- Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure Z 1 in 112 in y in → ← ¹ in 12 in D C B A ++ in The area is determined to be 2.0625 in². The distances from the neutral axis to the top and bottom surfaces are determined to be 0.858 x in and The second moment of area is determined to be 0.447 in 4. 1.017 xin.arrow_forwardFind the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure, с - 12.5 B A y I 50 100 75 12.5- 12.5 25 D 100 The area is determined to be 3750 mm² The distances from the neutral axis to the top and bottom surfaces are determined to be 57.292 The second moment of area is determined to be 4.293 x 106 mm4. mm and 42.708 ✪ mm.arrow_forwardDetermine the bending stress at point B and Carrow_forward
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