MECHANICS OF MATERIALS-TEXT
MECHANICS OF MATERIALS-TEXT
9th Edition
ISBN: 2810014920922
Author: HIBBELER
Publisher: PEARSON
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Chapter 1.2, Problem 1.24P
To determine

To calculate: The resultant internal loadings acting on the cross section of the semicircular arch at C.

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A rotating shaft of 20 mm diameter is simply supported. The shaft is loaded with a transverse load of 10 kN as shown in the figure. The shaft is made from AISI 1095 hot-rolled steel. The surface has been machined. The shaft operate at temperature T = 450 °C. Consider a reliability factor of 95%. Determine (a) Calculate the reaction forces R, and R₂ (2 points) (b) Draw the shear force and bending moment diagrams and determine the maximum bending moment and shear force. (6 points) 200 mm 20 mm 10,000 N -50 mm- A Not to scale. (c) Determine the critical location of the shaft and the maximum effective stresses. (3 points) (d) Calculate the safety factor against yielding. Does the shaft undergo local yielding? (2 points) (e) Determined the endurance limit, adjusted as necessary with Marin factors. (12 points) (f) Calculate the fatigue factor of safety based on achieving infinite life. (2 points) (g) If the fatigue factor of safety is less than 1 (hint: it should be for this problem), then…
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Chapter 1 Solutions

MECHANICS OF MATERIALS-TEXT

Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - 1-5. Determine the resultant internal loadings in...Ch. 1.2 - 1-6. Determine the normal force, shear force, and...Ch. 1.2 - 1-7. The cable will fail when subjected to a...Ch. 1.2 - *1-8. Determine the resultant internal loadings on...Ch. 1.2 - 1-9. Determine the resultant internal loadings on...Ch. 1.2 - The boom DF of the jib crane and the column DE...Ch. 1.2 - 1-11. The forearm and biceps support the 2-kg load...Ch. 1.2 - *1-12. The serving tray T used on an airplane is...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - 1-15. A 150-lb bucket is suspended from a cable on...Ch. 1.2 - *1-16. A 150-lb bucket is suspended from a cable...Ch. 1.2 - 1-17. Determine resultant internal loadings acting...Ch. 1.2 - Prob. 1.18PCh. 1.2 - Prob. 1.19PCh. 1.2 - Prob. 1.20PCh. 1.2 - Prob. 1.21PCh. 1.2 - The metal stud punch is subjected to a force of...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Prob. 1.24PCh. 1.2 - 1-25. Determine the resultant internal loading...Ch. 1.2 - 1-26. The shaft is supported at its ends by two...Ch. 1.2 - 1-27. The pipe assembly is subjected to a force of...Ch. 1.2 - If the drill bit jams when the brace is subjected...Ch. 1.2 - 1-29. The curved rod AD of radius r has a weight...Ch. 1.2 - A differential element taken from a curved bar is...Ch. 1.5 - In each case, determine the largest internal shear...Ch. 1.5 - Determine the largest internal normal force in the...Ch. 1.5 - Determine the internal normal force at section A...Ch. 1.5 - Prob. 1.5PPCh. 1.5 - The single-V butt joint transmits the force of 5...Ch. 1.5 - The uniform beam is supported by two rods AB and...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - If the 600-kN force acts through the centroid of...Ch. 1.5 - Determine the average normal stress at points A,...Ch. 1.5 - Determine the average normal stress in rod AB if...Ch. 1.5 - The supporting wheel on a scaffold is held in...Ch. 1.5 - Prob. 1.32PCh. 1.5 - The bar has a cross-sectional area A and is...Ch. 1.5 - 1-34. The built-up shaft consists of a pipe AB and...Ch. 1.5 - Prob. 1.35PCh. 1.5 - Prob. 1.36PCh. 1.5 - The plate has a width of 0.5 m. If the stress...Ch. 1.5 - The two members used in the construction of an...Ch. 1.5 - Prob. 1.39PCh. 1.5 - Determine the average normal stress in each of the...Ch. 1.5 - If the average normal stress in each of the...Ch. 1.5 - Determine the maximum average shear stress in pin...Ch. 1.5 - 1-43. The 150-kg bucket is suspended from end E of...Ch. 1.5 - *1-44. The 150-kg bucket is suspended from end E...Ch. 1.5 - Prob. 1.45PCh. 1.5 - 1-46. The 20-kg chandelier is suspended from the...Ch. 1.5 - Prob. 1.47PCh. 1.5 - If P = 15 kN, determine the average shear stress...Ch. 1.5 - 1-49. The joint is subjected to the axial member...Ch. 1.5 - Prob. 1.50PCh. 1.5 - Prob. 1.51PCh. 1.5 - Prob. 1.52PCh. 1.5 - Prob. 1.53PCh. 1.5 - Prob. 1.54PCh. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - Prob. 1.57PCh. 1.5 - Prob. 1.58PCh. 1.5 - 1-59. The jib crane is pinned at A and supports a...Ch. 1.5 - *1-60. If the shaft is subjected to an axial force...Ch. 1.5 - Prob. 1.61PCh. 1.5 - Prob. 1.62PCh. 1.5 - Prob. 1.63PCh. 1.5 - *1-64. A vertical force of P = 1500 N is applied...Ch. 1.5 - Prob. 1.65PCh. 1.5 - Determine the largest load P that can be applied...Ch. 1.5 - Prob. 1.67PCh. 1.5 - Prob. 1.68PCh. 1.7 - Rods AC and BC are used to suspend the 200-kg...Ch. 1.7 - If it is subjected to double shear, determine the...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If each of the three nails has a diameter of 4 mm...Ch. 1.7 - The strut is glued to the horizontal member at...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If the eyebolt is made of a material having a...Ch. 1.7 - If the bar assembly is made of a material having a...Ch. 1.7 - Determine the maximum force P that can be applied...Ch. 1.7 - The pin is made of a material having a failure...Ch. 1.7 - If the bolt head and the supporting bracket are...Ch. 1.7 - Six nails are used to hold the hanger at A against...Ch. 1.7 - If A and B are both made of wood and are 38 in....Ch. 1.7 - Prob. 1.70PCh. 1.7 - Prob. 1.71PCh. 1.7 - Prob. 1.72PCh. 1.7 - The steel swivel bushing in the elevator control...Ch. 1.7 - 1-74. Member B is subjected to a compressive force...Ch. 1.7 - Prob. 1.75PCh. 1.7 - Prob. 1.76PCh. 1.7 - The tension member is fastened together using two...Ch. 1.7 - 1-78. The 50-kg flowerpot is suspended from wires...Ch. 1.7 - 1-79. The 50-kg flowerpot is suspended from wires...Ch. 1.7 - *1–80. The thrust bearing consists of a circular...Ch. 1.7 - 1-81. The steel pipe is supported on the circular...Ch. 1.7 - The steel pipe is supported on the circular base...Ch. 1.7 - 1-83. The 60 mm × 60 mm oak post is supported on...Ch. 1.7 - *1-84. The frame is subjected to the load of 4 kN...Ch. 1.7 - Prob. 1.85PCh. 1.7 - The two aluminum rods support the vertical force...Ch. 1.7 - The two aluminum rods AB and AC have diameters of...Ch. 1.7 - The compound wooden beam is connected together by...Ch. 1.7 - Determine the required minimum thickness t of...Ch. 1.7 - Determine the maximum allowable load P that can be...Ch. 1.7 - Prob. 1.91PCh. 1.7 - *1-92. If the allowable hearing stress for the...Ch. 1.7 - The rods AB and CD are made of steel. Determine...Ch. 1.7 - The aluminum bracket A is used to support the...Ch. 1.7 - Prob. 1.95PCh. 1.7 - *1-96. The pin support A and roller support B of...Ch. 1 - The beam AB is pin supported at A and supported by...Ch. 1 - The long bolt passes through the 30-mm-thick...Ch. 1 - Determine the required thickness of member BC to...Ch. 1 - The circular punch B exerts a force of 2 kN on the...Ch. 1 - Determine the average punching shear stress the...Ch. 1 - The 150 mm by 150 mm block of aluminum supports a...Ch. 1 - The yoke-and-rod connection is subjected to a...Ch. 1 - The cable has a specific weight (weight/volume)...
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