Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 4.9, Problem 106P
To determine
The intensity of the distributed load and displacement of point
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The rigid beam is supported by a pin at A and two steel wires, each having a diameter of 4 mm.
If the yield stress for the wires is o, = 530 MPa (MPa= 106 Pa), and E = 200 GPA (GPa= 10ºPa)
determine the intensity of the distributed load w that can be placed on the beam and will just
cause wire EB to yield. What is the displacement of point G for this case? For the calculation,
assume that the steel is elastic perfectly plastic.
E
D
800 mm
E
B
400mm-
250 mm-
Elastic perfectly Plastic Behavior
150 mm
Fig. 2
The rigid beam supports the load of 50 kN as in the figure below. Determine the displacement at B. Neglect the weight
of the structure. Use E = 73 GPa. The rod BC has diameter of 50 mm.
50 kN
-2 m
4 m
A
В
2 m
3 m
D
A closely coiled helical spring is made of 6 mm wire. The maximum shear stress and deflection
under a 200 N load is not to exceed 80 MPa and 11 mm respectively. Determine the no. of coils
and their mean diameter. Take C = 84 MPa.
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- , Solve the preceding problem using the numerical data: /) = 90mm, h = 280 mm, d = 210 mm, q = 14 kN/m, and L = L2 m.arrow_forwardA leaf spring 75 cm long is required to carry a central load of 8 kN. If the central deflection is not to exceed 2 cm and bending stress no greater than 200 MPa, determine the thickness, width and number of plates. Also compute the radius to which plates should be curved. As- sume width of plate to be 12 times its thickness and E = 200 GPa.arrow_forwardA rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.6 mm. Given: E (wire B) = 70 Gpa, E (wire C) = 200 Gpa and both wires have a diameter D = 2 mm. Consider a linear elastic behaviorarrow_forward
- A closely coiled helical spring is made of 6 mm wire. The maximum shear stress and deflection under a 200 N load is not to exceed 80 MPa and 11 mm respectively. Determine the no. of coils and their mean diameter. Take C = 84MPa .arrow_forwardThe rigid bar ABC is supported by pin at A and aluminum wire BD, is horizontal before the Load P is applied. Find the vertical displacement of point C caused by the load P=35KN. Where E of aluminum equals 70GPA and the area of the wire is 200mm^2 -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.arrow_forwardA shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected to a concentrated torsional moment at the junction, The steel segment is 1 meter long. Assume that the Bronze has a diameter of 75mm, G = 35 GPa and τ = 60 MPa whilst the steel has a diameter of 50mm, G = 80 GPa, and τ = 80 MPa. What is the reaction at the left end if the maximum torque is applied to the saft, in kN.arrow_forward
- Let's consider an axially loaded member having solid circular cross-section and subjected to the shown loads. Determine the displacement of end C with respect to A. Note that section AB has a diameter of 30 mm and section BC has a diameter of 20 mm. both section are made of steel having a modulus of elasticity E of 200 GPa. 15 kN A 1 m B 5 kN 0.7 m C 10 kNarrow_forwardThe 4 mm diameter cable BC is made of a steel with E = 200 GPa. If it is known that the maximum stress in the cable should not exceed 190 MPa and that the elongation of the cable should not exceed 6 mm, find the maximum load P that can be applied as shown in the figure.arrow_forwardAn aluminum rod is hanging from one end. The rod is 1 m long and has a square cross section 20 mm by 20 mm. Find the extension of the rod resulting from its own weight. Take E = 70 GPa and the unit weight = 27 kN/m3.arrow_forward
- If an isotropic material has a shear modulus of 30 Gpa and a Poisson's ratio of 0.34, calculate its Young's modulus. Select one: E = 80 Gpa E = 300 Gpa E = 450 Gpa E = 30 Gpa O E = 60 Gpaarrow_forward2Mo Мо Find the amount of depression in mm at the midpoint of the bar AB. Mo= 1kNm, L = 1m, E = 200 GPa, l=1x 106 mm4 Larrow_forward3. The steel pipe AB has a 72 mm outer diameter and a 5 mm wall thickness. Link CDE is rigidly attached to the pipe. Point K is at the top of the pipe, at 150 mm from point D. Neglect the stress concentrations. Material is Hot Rolled Steel, with E = 207 x 10° Pa, G = 79 × 10° Pa, Sy = 200 MPa, Su = 414 MPa. The force at E is steady, with FE = 9 kN (down). The force at C is steady, with Fc = 3 kN (up). Section Properties for bar OD: IOD = 594 × 10³ mm = 594 × 10-9 m*; JoD = 1188 × 10³ mm4 = 1188 × 10-9 mª; %3D Section for bar DE: IDE 50 × 10-9 mª Determine the principal stresses at point K using Mohr circle. A 3 kN K 120 mm 9 kN 150 mm E 120 mmarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Strain energy and strain energy density introduced; Author: Engineer4Free;https://www.youtube.com/watch?v=m14sqLGg4BQ;License: Standard youtube license