(14) Find the total shear load on each of the three bolts for the connection shown in the figure and compute the significant bolt shear stress and bearing stress. Find the second moment of area of the 8-mm plate on a section through the three bolt holes, and find the maximum bending stress in the plate. (Ans/ 1.48(10) mm4, 110 MPa ) Holes for M12 x 1.75 bolts mm thick |12 AN 36 32 64 Dimensions in millimeters 36 -200 Column

(14) Find the total shear load on each of the three bolts for the connection shown in the figure and compute the significant bolt shear stress and bearing stress. Find the second moment of area of the 8-mm plate on a section through the three bolt holes, and find the maximum bending stress in the plate. (Ans/ 1.48(10) mm4, 110 MPa ) Holes for M12 x 1.75 bolts mm thick |12 AN 36 32 64 Dimensions in millimeters 36 -200 Column

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.5.4P: An angle section with equal legs is subjected to a bending moment M having its vector directed along...

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A circular pole is subjected to linearly varying distributed force with maximum intensity t0. Calculate the diameter daof the pole if the maximum allowable shear stress for the pole is 75 M Pa.
An angle section with equal legs is subjected to a bending moment M having its vector directed along the 1—1 axis, as shown in the figure. Determine the orientation of the neutral axis and calculate the maximum tensile stress etand maximum compressive stress te if the section is an L 152 × 152 × 127 section and M = 2.5 kN · m. See Table F-4(b) of Appendix F for the dimensions and properties of the angle section.
A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).
The beams shown in the figure are subjected to bending moments M = 250 N · m. Each beam has a rectangular cross section with height f1= 44 mm and width d = 10 mm (perpendicular to the plane of the figure). For the beam with a hole at m id height, determine the maximum stresses for hole diameters d = 10, 16,22, and 28 mm. For the beam with two identical notches (inside height d= 40 mm), determine the maximum stresses for notch radii R = 2,4, 6, and 8 mm.
An angle section with equal legs is subjected to a bending moment M having its vector directed along the 1—1 axis, as shown in the figure. Determine the orientation of the neutral axis and calculate the maximum tensile stress e1 and maximum compressive stress et if the angle is an L 6 × 6 × 3/4 section and M = 20 kip-in. See Table F-4(a) of Appendix F for the dimensions and properties of the angle section.
The beams shown in the figure are subjected to bending moments M = 2100 lb-in. Each beam has a rectangular cross section with height h = 1.5 in. and width b = 0,375 in, (perpendicular to the plane of the figure). For the beam with a hole at m id height, determine the maximum stresses for hole diameters d = 0.25,0.50, 0.75, and 1,00 in. For the beam with two identical notches (inside height /j| = 1.25 in.), determine the maximum stresses for notch radii R = 0.05, 0.10, 0.15 and 0.20 in.
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The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7
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A plastic-lined steel pipe has the cross-sectional shape shown in the figure. The steel pipe has an outer diameter d1= 100 mm and an inner diameter d2= 94 mm. The plastic liner has an inner diameter d1= 82 mm. The modulus of elasticity of the steel is 75 times the modulus of the plastic. Determine the allowable bending moment Mallowif the allowable stress in the steel is 35 M Pa and in the plastic is 600 kPa. If pipe and liner diameters remain unchanged, what new value of allowable stress for the steel pipe will result in the steel pipe and plastic liner reaching their allowable stress values under the same maximum moment (i.e., a balanced design)? What is the new maximum moment?
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