Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
A shaft of length L = 6 ft is made of a W18×50 profile (see table in the back of the book). The shaft is clamped at one end and subjected to an linearly distributed torque along its length of magnitude k = the tip). torque/length? (that is, with a value of torque/length of kL at 1. If the shear modulus of the material is 12·103 ksi, determine the angle of twist at the free end in terms of k. 2. If the allowable shear stress of the material is 18 ksi, determine the maximum allowable k that can be applied to the shaft. kL(torque/length)

A shaft of length L = 6 ft is made of a W18×50 profile (see table in the back of the book). The shaft is clamped at one end and subjected to an linearly distributed torque along its length of magnitude k = the tip). torque/length? (that is, with a value of torque/length of kL at 1. If the shear modulus of the material is 12·103 ksi, determine the angle of twist at the free end in terms of k. 2. If the allowable shear stress of the material is 18 ksi, determine the maximum allowable k that can be applied to the shaft. kL(torque/length)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

solve the problem given in the image provided. also the table provided for the section asked in question. please solve it.

Appendix A Typical Properties of Selected Materials Used in Engineering"5 1,5 (U.S. Customary Units) Ultimate Strength Yield Strength Modulus Modulus Coefficient Ductility, Specific Weight, Tension, Ib/in3 of of of Thermal Percent Compres- sion,? Shear, Tension, Shear, Elasticity, Rigidity, 10° psi 10° psi Expansion, 10 PF Elongation in 2 in. Material ksi ksi ksi ksi ksi Steel Structural (ASTM-A36) 0.284 58 36 21 29 11.2 6.5 21 High-strength-low-alloy ASTM-A709 Grade 50 0.284 65 50 29 11.2 6.5 21 ASTM-A913 Grade 65 0.284 80 65 29 11.2 6.5 17 ASTM-A992 Grade 50 0.284 65 50 29 11.2 6.5 21 Quenched & tempered ASTM-A709 Grade 100 0.284 110 100 29 11.2 6.5 18 Stainless, AISI 302 Cold-rolled 0.286 125 75 28 10.8 9.6 12 Annealed 0.286 95 38 22 28 10.8 9.6 50 Reinforcing Steel Medium strength High strength 0.283 70 40 29 11 6.5 0.283 90 60 29 11 6.5 Cast Iron Gray Cast Iron 4.5% C, ASTM A-48 0.260 25 95 35 10 4.1 6.7 0.5 Malleable Cast Iron 2% C, 1% Si, ASTM A-47 0.264 50 90 48 33 24 9.3 6.7 10 Aluminum Alloy 1100-H14 (99% Al) 0.098 16 10 14 8 10.1 3.7 13.1 Alloy 2014-T6 Alloy 2024-T4 Alloy 5456-Hl16 Alloy 6061-T6 Alloy 7075-T6 0.101 66 40 58 33 10.9 3.9 12.8 13 0.101 68 41 47 10.6 12.9 19 0.095 46 27 33 19 10.4 13.3 16 0.098 38 24 35 20 10.1 3.7 13.1 17 0.101 83 48 73 10.4 4 13.1 11 Copper Oxygen-free copper (99.9% Cu) Annealed 0.322 32 22 10 17 6.4 9.4 45 Hard-drawn 0.322 57 29 53 17 6.4 9.4 4 Yellow Brass (65% Cu, 35% Zn) Cold-rolled 0.306 74 43 60 36 15 5.6 11.6 8 Annealed 0.306 46 32 15 9. 15 5.6 11.6 65 Red Brass (85% Cu, 15% Zn) Cold-rolled 0.316 85 46 63 17 6.4 10.4 3 Annealed 0.316 39 31 10 17 6.4 10.4 48 Tin bronze 0.318 45 21 14 10 30 (88 Cu, 8Sn, 4Zn) Manganese bronze 0.302 95 48 15 12 20 (63 Cu, 25 Zn, 6 Al, 3 Mn, 3 Fe) Aluminum bronze 0.301 90 130 40 16 6.1 9. (81 Cu, 4 Ni, 4 Fe, 11 Al) (Table continued on page A3) Y Appendix B Properties of Rolled-Steel Shapes d X (U.S. Customary Units) w Shapes (Wide-Flange Shapes) Y by Flange Web Thick- Thick- Axis X-X Axis Y-Y Depth d, in. Area Width ness ness Designation A, in? bf, in. tf, in. tw, in. I, in S, in ly, in Sy, in x in. Ty, in. W36 X 302 88.8 37.3 16.7 1.68 0.945 21100 1130 15.4 1300 156 3.82 135 39.7 35.6 12.0 0.790 0.600 7800 439 14.0 225 37.7 2.38 W33 X 201 59.2 33.7 15.7 1.15 0.715 11600 686 14.0 749 95.2 3.56 118 34.7 32.9 11.5 0.740 0.550 5900 359 13.0 187 32.6 2.32 W30 X 173 51.0 30.4 15.0 1.07 0.655 8230 541 12.7 598 79.8 3.42 99 29.1 29.7 10.50 0.670 0.520 3990 269 11.7 128 24.5 2.10 W27 X 146 43.1 27.4 14.0 0.975 0.605 5660 414 11.5 443 63.5 3.20 84 24.8 26.70 10.0 0.640 0.460 2850 213 10.7 106 21.2 2.07 W24 X 104 30.6 24.1 12.8 0.750 0.500 3100 258 10.1 259 40.7 2.91 68 20.1 23.7 8.97 0.585 0.415 1830 154 9.55 70.4 15.7 1.87 W21 X 101 29.8 21.4 12.3 0.800 0.500 2420 227 9.02 248 40.3 2.89 62 18.3 21.0 8.24 0.615 0.400 1330 127 8.54 57.5 14.0 1.77 44 13.0 20.7 6.50 0.450 0.350 843 81.6 8.06 20.7 6.37 1.26 W18 X 106 31.1 18.7 11.2 0.940 0.590 1910 204 7.84 220 39.4 2.66 76 22.3 18.2 11.0 0.680 0.425 1330 146 7.73 152 27.6 2.61 50 14.7 18.0 7.50 0.570 0.355 800 88.9 7.38 40.1 10.7 1.65 35 10.3 17.7 6.00 0.425 0.300 510 57.6 7.04 15.3 5.12 1.22 W16 X 77 22.6 16.5 10.3 0.760 0.455 1110 134 7.00 138 26.9 2.47 57 16.8 16.4 7.12 0.715 0.430 758 92.2 6.72 43.1 12.1 1.60 40 11.8 16.0 7.00 0.505 0.305 518 64.7 6.63 28.9 8.25 1.57 31 9.13 15.9 5.53 0.440 0.275 375 47.2 6.41 12.4 4.49 1.17 26 7.68 15.7 5.50 0.345 0.250 301 38.4 6.26 9.59 3.49 1.12 W14 X 370 109 17.9 16.5 2.66 1.66 5440 607 7.07 1990 241 4.27 145 42.7 14.8 15.5 1.09 0.680 1710 232 6.33 677 87.3 3.98 82 24.0 14.3 10.1 0.855 0.510 881 123 6.05 148 29.3 2.48 68 20.0 14.0 10.0 0.720 0.415 722 103 6.01 121 24.2 2.46 53 15.6 13.9 8.06 0.660 0.370 541 77.8 5.89 57.7 14.3 1.92 43 12.6 13.7 8.00 0.530 0.305 428 62.6 5.82 45.2 11.3 1.89 38 11.2 14.1 6.77 0.515 0.310 385 54.6 5.87 26.7 7.88 1.55 30 8.85 13.8 6.73 0.385 0.270 291 42.0 5.73 19.6 5.82 1.49 26 7.69 13.9 5.03 0.420 0.255 245 35.3 5.65 8.91 3.55 1.08 22 6.49 13.7 5.00 0.335 0.230 199 29.0 5.54 7.00 2.80 1.04 A wide-flange shape is designated by the letter W followed by the nominal depth in inches and the weight in pounds per foot. (Table continued on page A7) 6.
Transcribed Image Text:Appendix A Typical Properties of Selected Materials Used in Engineering"5 1,5 (U.S. Customary Units) Ultimate Strength Yield Strength Modulus Modulus Coefficient Ductility, Specific Weight, Tension, Ib/in3 of of of Thermal Percent Compres- sion,? Shear, Tension, Shear, Elasticity, Rigidity, 10° psi 10° psi Expansion, 10 PF Elongation in 2 in. Material ksi ksi ksi ksi ksi Steel Structural (ASTM-A36) 0.284 58 36 21 29 11.2 6.5 21 High-strength-low-alloy ASTM-A709 Grade 50 0.284 65 50 29 11.2 6.5 21 ASTM-A913 Grade 65 0.284 80 65 29 11.2 6.5 17 ASTM-A992 Grade 50 0.284 65 50 29 11.2 6.5 21 Quenched & tempered ASTM-A709 Grade 100 0.284 110 100 29 11.2 6.5 18 Stainless, AISI 302 Cold-rolled 0.286 125 75 28 10.8 9.6 12 Annealed 0.286 95 38 22 28 10.8 9.6 50 Reinforcing Steel Medium strength High strength 0.283 70 40 29 11 6.5 0.283 90 60 29 11 6.5 Cast Iron Gray Cast Iron 4.5% C, ASTM A-48 0.260 25 95 35 10 4.1 6.7 0.5 Malleable Cast Iron 2% C, 1% Si, ASTM A-47 0.264 50 90 48 33 24 9.3 6.7 10 Aluminum Alloy 1100-H14 (99% Al) 0.098 16 10 14 8 10.1 3.7 13.1 Alloy 2014-T6 Alloy 2024-T4 Alloy 5456-Hl16 Alloy 6061-T6 Alloy 7075-T6 0.101 66 40 58 33 10.9 3.9 12.8 13 0.101 68 41 47 10.6 12.9 19 0.095 46 27 33 19 10.4 13.3 16 0.098 38 24 35 20 10.1 3.7 13.1 17 0.101 83 48 73 10.4 4 13.1 11 Copper Oxygen-free copper (99.9% Cu) Annealed 0.322 32 22 10 17 6.4 9.4 45 Hard-drawn 0.322 57 29 53 17 6.4 9.4 4 Yellow Brass (65% Cu, 35% Zn) Cold-rolled 0.306 74 43 60 36 15 5.6 11.6 8 Annealed 0.306 46 32 15 9. 15 5.6 11.6 65 Red Brass (85% Cu, 15% Zn) Cold-rolled 0.316 85 46 63 17 6.4 10.4 3 Annealed 0.316 39 31 10 17 6.4 10.4 48 Tin bronze 0.318 45 21 14 10 30 (88 Cu, 8Sn, 4Zn) Manganese bronze 0.302 95 48 15 12 20 (63 Cu, 25 Zn, 6 Al, 3 Mn, 3 Fe) Aluminum bronze 0.301 90 130 40 16 6.1 9. (81 Cu, 4 Ni, 4 Fe, 11 Al) (Table continued on page A3) Y Appendix B Properties of Rolled-Steel Shapes d X (U.S. Customary Units) w Shapes (Wide-Flange Shapes) Y by Flange Web Thick- Thick- Axis X-X Axis Y-Y Depth d, in. Area Width ness ness Designation A, in? bf, in. tf, in. tw, in. I, in S, in ly, in Sy, in x in. Ty, in. W36 X 302 88.8 37.3 16.7 1.68 0.945 21100 1130 15.4 1300 156 3.82 135 39.7 35.6 12.0 0.790 0.600 7800 439 14.0 225 37.7 2.38 W33 X 201 59.2 33.7 15.7 1.15 0.715 11600 686 14.0 749 95.2 3.56 118 34.7 32.9 11.5 0.740 0.550 5900 359 13.0 187 32.6 2.32 W30 X 173 51.0 30.4 15.0 1.07 0.655 8230 541 12.7 598 79.8 3.42 99 29.1 29.7 10.50 0.670 0.520 3990 269 11.7 128 24.5 2.10 W27 X 146 43.1 27.4 14.0 0.975 0.605 5660 414 11.5 443 63.5 3.20 84 24.8 26.70 10.0 0.640 0.460 2850 213 10.7 106 21.2 2.07 W24 X 104 30.6 24.1 12.8 0.750 0.500 3100 258 10.1 259 40.7 2.91 68 20.1 23.7 8.97 0.585 0.415 1830 154 9.55 70.4 15.7 1.87 W21 X 101 29.8 21.4 12.3 0.800 0.500 2420 227 9.02 248 40.3 2.89 62 18.3 21.0 8.24 0.615 0.400 1330 127 8.54 57.5 14.0 1.77 44 13.0 20.7 6.50 0.450 0.350 843 81.6 8.06 20.7 6.37 1.26 W18 X 106 31.1 18.7 11.2 0.940 0.590 1910 204 7.84 220 39.4 2.66 76 22.3 18.2 11.0 0.680 0.425 1330 146 7.73 152 27.6 2.61 50 14.7 18.0 7.50 0.570 0.355 800 88.9 7.38 40.1 10.7 1.65 35 10.3 17.7 6.00 0.425 0.300 510 57.6 7.04 15.3 5.12 1.22 W16 X 77 22.6 16.5 10.3 0.760 0.455 1110 134 7.00 138 26.9 2.47 57 16.8 16.4 7.12 0.715 0.430 758 92.2 6.72 43.1 12.1 1.60 40 11.8 16.0 7.00 0.505 0.305 518 64.7 6.63 28.9 8.25 1.57 31 9.13 15.9 5.53 0.440 0.275 375 47.2 6.41 12.4 4.49 1.17 26 7.68 15.7 5.50 0.345 0.250 301 38.4 6.26 9.59 3.49 1.12 W14 X 370 109 17.9 16.5 2.66 1.66 5440 607 7.07 1990 241 4.27 145 42.7 14.8 15.5 1.09 0.680 1710 232 6.33 677 87.3 3.98 82 24.0 14.3 10.1 0.855 0.510 881 123 6.05 148 29.3 2.48 68 20.0 14.0 10.0 0.720 0.415 722 103 6.01 121 24.2 2.46 53 15.6 13.9 8.06 0.660 0.370 541 77.8 5.89 57.7 14.3 1.92 43 12.6 13.7 8.00 0.530 0.305 428 62.6 5.82 45.2 11.3 1.89 38 11.2 14.1 6.77 0.515 0.310 385 54.6 5.87 26.7 7.88 1.55 30 8.85 13.8 6.73 0.385 0.270 291 42.0 5.73 19.6 5.82 1.49 26 7.69 13.9 5.03 0.420 0.255 245 35.3 5.65 8.91 3.55 1.08 22 6.49 13.7 5.00 0.335 0.230 199 29.0 5.54 7.00 2.80 1.04 A wide-flange shape is designated by the letter W followed by the nominal depth in inches and the weight in pounds per foot. (Table continued on page A7) 6.
A shaft of length L 6 ft is made of a W18x50 profile (see table in the back of the book). The shaft is clamped at one end and subjected to an linearly distributed torque along its length of magnitude k the tip). torque/length? (that is, with a value of torque/length of kL at 1. If the shear modulus of the material is 12·103 ksi, determine the angle of twist at the free end in terms of k. 2. If the allowable shear stress of the material is 18 ksi, determine the maximum allowable k that can be applied to the shaft. kL(torque/length) L
Transcribed Image Text:A shaft of length L 6 ft is made of a W18x50 profile (see table in the back of the book). The shaft is clamped at one end and subjected to an linearly distributed torque along its length of magnitude k the tip). torque/length? (that is, with a value of torque/length of kL at 1. If the shear modulus of the material is 12·103 ksi, determine the angle of twist at the free end in terms of k. 2. If the allowable shear stress of the material is 18 ksi, determine the maximum allowable k that can be applied to the shaft. kL(torque/length) L
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Geometric design of highway facilities
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS