Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 4.2, Problem 4FP
If the 20-mm-diameter rod is made of A-36 steel and the stiffness of the spring is k = 50 MN/m, determine the displacement of end A when the 60-kN force is applied.
F4–4
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4-14. The post is made of Douglas fir and has a diameter
of 60 mm. If it is subjected to the load of 20 kN and the soil
provides a frictional resistance that is uniformly distributed
along its sides of w = 4 kN/m, determine the force F at its
bottom needed for equilibrium. Also, what is the displacement
of the top of the post A with respect to its bottom B?
Neglect the weight of the post.
20 kN
to
2 m
*4-12. The rigid metal strip of negligible weight is used as
part of an electromagnetic switch. If the stiffness of the
springs at A and B is k -5 N/m and the strip is originally
horizontal when the springs are unstretched, determine the
smallest force Fneeded to close the contact gap at C.
-50 mm
-50 mm
10 mm
4-14. The post is made of Douglas fir and has a diameter
of 100 mm. If it is subjected to the load of 20 kN and the
soil provides a frictional resistance distributed around the
post that is triangular along its sides, that is, it varies from
W = 0 at y = 0 to w = 12 kN/m at y = 2 m, determine the
force F at its bottom needed for equilibrium. Also, what is
the displacement of the top of the post A with respect to its
bottom B? Neglect the weight of the post.
2 m
20 KN
+
4
B
Prob. 4-14
12 kN/m
Chapter 4 Solutions
Mechanics of Materials
Ch. 4.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 4.2 - Segments AB and CD of the assembly are solid...Ch. 4.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 4.2 - If the 20-mm-diameter rod is made of A-36 steel...Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 4.2 - The copper shaft is subjected to the axial loads...Ch. 4.2 - The A-36 steel rod is subjected to the loading...Ch. 4.2 - The A-36 steel rod is subjected to the loading...Ch. 4.2 - The A-36 steel drill shaft of an oil well extends...
Ch. 4.2 - Prob. 8PCh. 4.2 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The coupling rod is subjected to a force of 5 kip....Ch. 4.2 - The pipe is stuck in the ground so that when it is...Ch. 4.2 - The assembly consists of three titanium...Ch. 4.2 - The assembly consists of two rigid bars that are...Ch. 4.2 - The truss consists of three members, each made...Ch. 4.2 - Solve Prob. 426 when the load P acts vertically...Ch. 4.2 - The ball is truncated at its ends and is used to...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 4.5 - The 304 stainless steel post A has a diameter of...Ch. 4.5 - The 304 stainless steel post A is surrounded by a...Ch. 4.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 4.5 - The rigid beam is supported by the three suspender...Ch. 4.5 - The bolt AB has a diameter of 20 mm and passes...Ch. 4.5 - If the gap between C and the rigid wall at D is...Ch. 4.5 - The support consists of a solid red brass C83400...Ch. 4.5 - Prob. 55PCh. 4.5 - The three A-36 steel wires each have a diameter of...Ch. 4.5 - The A-36 steel wires AB and AD each have a...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The wheel is subjected to a force of 18 kN from...Ch. 4.6 - The C83400-red-brass rod AB and 2014-T6- aluminum...Ch. 4.6 - The assembly has the diameters and material...Ch. 4.6 - Prob. 72PCh. 4.6 - Prob. 77PCh. 4.6 - Prob. 80PCh. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The metal strap has a thickness t and width w and...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - If the allowable normal stress for the bar is...Ch. 4.9 - Prob. 89PCh. 4.9 - The A-36 steel plate has a thickness of 12 mm. If...Ch. 4.9 - Determine the maximum axial force P that can be...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - The member is to be made from a steel plate that...Ch. 4.9 - Prob. 96PCh. 4.9 - The bar has a cross-sectional area of 0.5 in2 and...Ch. 4.9 - The distributed loading is applied to the rigid...Ch. 4.9 - The distributed loading is applied to the rigid...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - The wire BC has a diameter of 0.125 in. and the...Ch. 4.9 - Prob. 104PCh. 4.9 - Prob. 106PCh. 4 - The assembly consists of two A992 steel bolts AB...Ch. 4 - The assembly shown consists of two A992 steel...Ch. 4 - The rods each have the same 25-mm diameter and...Ch. 4 - Two A992 steel pipes, each having a...Ch. 4 - The force P is applied to the bar, which is made...Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The rigid link is supported by a pin at A and two...Ch. 4 - The joint is made from three A992 steel plates...
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- The spring ABC has a stiffness of 500N/m and an unstretched length of 6m. Calculate the horizontal force, F applied to the cord which is attached at B so that the displacement of the pulley from the wall is d= 1.5m. A k = 500 N/m 6 m F k = 500 N/m Fig. Q3 Force equation: Force equation 3D Moment 3D Cosine rule R - 4 +B-2AB cos e F- Fi+Fj+Fk Ff = F +F +F moment about a point M-rxF Sine rule F| di+dj+dk F F3 Fc sin 4 sin B sinC moment about an axis M=rF Force resultant R-R R +R R. 8= tan Rarrow_forward4-19. The rigid metal strip of negligible weight is used as part of an electromagnetic switch. Determine the maximum stiffness k of the springs at A and B so that the contact at C closes when the vertical force developed there is F - 0.5 N. Originally the strip is horizontal as shown. -50 mm -50 mm- 10 mmarrow_forward4-19. The assembly consists of two A-36 steel rods and a rigid bar BD. Each rod has a diameter of 0.75 in. If a force of 10 kip is applied to the bar, determine the angle of tilt of the bar. 3 ft 2 ft E D -1.25 ft- 0.75 ft 1 ft 10 kip END Thank youarrow_forward
- A 4-14. The post is made of Douglas fir and has a diameter of 60 mm. If it is subjected to the load of 20 kN and the soil provides a frictional resistance that is uniformly distributed along its sides of w = 4 kN/m, determine the force F at its 20 kN bottom needed for equilibrium. Also, what is the displacement of the top of the post A with respect to its bottom B? Neglect the weight of the post. 4-19. The assembly consists of two A-36 steel rods and a rigid bar BD. Each rod has f10k unliad to thaarrow_forwardIf the 20-mm-diameter rod is made of A-36 steel and the stiffness of the spring is k = 50 MN>m, determine the displacement of end A when the 60-kN force is applied.arrow_forward4-118. The assembly consists of two A-36 steel suspender rods AC and BD attached to the 500 N uniform rigid beam AB. Determine the position x for the 1500 N loading so that the beam remains in a horizontal position both before and after the load is applied. Each rod has a diameter of 12 mm. 300 mm A C X 1500 N - 600 mm D 500 mm Barrow_forward
- 4-7. The assembly consists of two 12-mm-diameter A992 steel rods AB and CD, a 20-mm-diameter 6061-T6 aluminum rod EF, and a rigid bar AEC. If P = 20 kN, determine the displacement of F. P F 600 mm: 2P 2P A E C 400 mm B Darrow_forward4-2. The assembly consists of an A-36 steel rod CB and an a 2014-T6 aluminum rod BA, each having a diameter of 20 mm. If the rod is subjected to the axial loadings at A and at the coupling B, determine the displacement of the coupling B and the end A. Neglect the size of the connections at B and C. 80 KN B 50 kN 1m 1.5 m Prob. 4-2arrow_forward4-38. The shaft is supported by three smooth journal bearings at A, B, and C. Determine the components of reaction at these bearings. 900 N 600 N 450 N 06m 0.9 m 09m 500 N 0.9 marrow_forward
- 4-9. The assembly consists of two 10-mm diameter red brass C83400 copper rods AB and CD, a 15-mm diameter 304 stainless steel rod EF, and a rigid bar G. If P = 5 kN, determine the horizontal displacement of end F of rod EF. A C -300 mm- B DG E P 450 mm- F 4Parrow_forward*4-48. The pipe of weight Wis to be pulled up the inclined plane of slope a using a force P. If Pacts at an angle d, show that for slipping P = W sin(a + 0)/cos(6 - 6), where e is the angle of static triction; 8 = tan '-arrow_forwardF4. If the 20-mm-diameter rod is made of A-36 steel and the stiffness of the spring is k=s0 MN/m, determine the displacement of end A when the 60-kN force is applied. a mm. Sk - 50 MN m a0 mm 100KNarrow_forward
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