To determine To calculate: The resultant internal loadings acting on the cross section located at point C . Explanation Given information: The 300 N forces act in the − z direction and the 500 N forces act in the + x direction. Calculation: Sketch the Free Body Diagram of the shaft as shown in Figure 1. Refer to Figure 1. Find the support reactions as shown below. Take moment about A along x direction is Equal to zero. ∑ ( M A ) x = 0 ( B x × 1 ) − ( 1 , 000 × 0.75 ) = 0 B x − 750 = 0 B x = 750 N Summation of forces along x direction is Equal to zero. ∑ F x = 0 − A x + 1 , 000 − 750 = 0 − A x + 250 = 0 A x = 250 N Take moment about A along z direction is Equal to zero. ∑ ( M A ) z = 0 B z × 1 − ( 600 × 0.4 ) = 0 B z − 240 = 0 B z = 240 N Summation of forces along z direction is Equal to zero. ∑ F z = 0 A z − 600 + 240 = 0 A z − 360 = 0 A z = 360 N Sketch the Free Body Diagram of the shaft segment BC as shown in Figure 2. Refer to Figure 2. Find the internal loadings as shown below. Summation of forces along x direction is Equal to zero. ∑ F x = 0 ( V C ) x + 1 , 000 − 750 = 0 ( V C ) x + 250 = 0 ( V C ) x = − 250 N Summation of forces along y direction is Equal to zero. ∑ F y = 0 ( N C ) y = 0 Summation of forces along z direction is Equal to zero

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ISBN: 9780133254426

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 1.2, Problem 1.26P

To determine

To calculate: The resultant internal loadings acting on the cross section located at point C.

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Chapter 1.2, Problem 1.25P

Chapter 1.2, Problem 1.27P

Chapter 1 Solutions

Mechanics of Materials

Ch. 1.2 - In each case, explain how to find the resultant...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal normal and shear...Ch. 1.2 - 1-3. The beam AB is fixed to the wall and has a...

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. 1.18P Ch. 1.2 - Prob. 1.19P Ch. 1.2 - Prob. 1.20P Ch. 1.2 - Prob. 1.21P Ch. 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. 1.24P Ch. 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. 1.5PP Ch. 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. 1.32P Ch. 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. 1.35P Ch. 1.5 - Prob. 1.36P Ch. 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. 1.39P Ch. 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. 1.45P Ch. 1.5 - 1-46. The 20-kg chandelier is suspended from the...Ch. 1.5 - Prob. 1.47P Ch. 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. 1.50P Ch. 1.5 - Prob. 1.51P Ch. 1.5 - Prob. 1.52P Ch. 1.5 - Prob. 1.53P Ch. 1.5 - Prob. 1.54P Ch. 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. 1.57P Ch. 1.5 - Prob. 1.58P Ch. 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. 1.61P Ch. 1.5 - Prob. 1.62P Ch. 1.5 - Prob. 1.63P Ch. 1.5 - *1-64. A vertical force of P = 1500 N is applied...Ch. 1.5 - Prob. 1.65P Ch. 1.5 - Determine the largest load P that can be applied...Ch. 1.5 - Prob. 1.67P Ch. 1.5 - Prob. 1.68P Ch. 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. 1.70P Ch. 1.7 - Prob. 1.71P Ch. 1.7 - Prob. 1.72P Ch. 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. 1.75P Ch. 1.7 - Prob. 1.76P Ch. 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. 1.85P Ch. 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. 1.91P Ch. 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. 1.95P Ch. 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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