Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 6.5, Problem 6.116P
For the section, Iy' = 31.7(10-6) m4, Iz' = 114(10-6) m4, Iy'z' = 15.8(10-6) m4. Using the techniques outlined in Appendix A, the member’s cross-sectional area has principal moments of inertia of Iy = 28.8(10-6) m4 and I2 = 117(10-6) m4, calculated about the principal axes of inertia y and z, respectively. If the section is subjected to a moment of M = 2500 N · m, determine the stress produced at point A, using Eq. 6-17.
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H.W 5.4
Calculate the load that will make point A move to the left by 6mm, E-228GPa. The diameters
of the rods are as shown in fig. below.
2P-
PA
50mm
B
200mm
2P
0.9m
1.3m
d₁
=
=
Two solid cylindrical road AB and
BC are welded together at B and
loaded as shown. Knowing that
30mm (for AB) and d₂
50mm (for BC), find the average
normal stress in each road and the
total deformation of road AB and
BC. E=220GPa
H.W 5.3
60kN
A
For the previous example calculate the
value of force P so that the point A will not
move, and what is the total length of road
AB at that force?
P◄
A
125kN
125kN
0.9m
125kN
125kN
0.9m
B
B
1.3m
1.3m
Class:
B
Calculate the load that will make point A move to the left by 6mm, E-228GPa
The cross sections of the rods are as shown in fig. below.
183
P-
Solution
1.418mm
200mm
80mm
3P-
18.3
A
080mm
B
200mm
3P-
0.9m
إعدادات العرض
1.3m
4.061mm
Chapter 6 Solutions
Mechanics of Materials (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. 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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. 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