Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10, Problem 10.4.10P
Beam AB has a pin support at A and a roller support at B Joint B is also restrained by a linearly elastic rotational spring with stiffness kR, which provides a resisting moment MBdue to rotation at B. Member AB has flexural rigidity EI. A moment M0acts counterclockwise at B.
- Use the method of superposition to solve for all reactions.
Find an expression for joint rotation
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A propped cantilever beam of a length L isloaded by a concentrated moment M0 at midpoint C.Use the second-order differential equation of thedeflection curve to solve for reactions at A and B.Draw shear-force and bending-moment diagramsfor the entire beam. Also find the equations of thedeflection curves for both halves of the beam, anddraw the deflection curve for the entire beam.
A beam with a sliding support at B is loadedby a uniformly distributed load with intensity q. Usethe method of superposition to solve for all reactions.Also draw shear-force and bending-momentdiagrams, labeling all critical ordinates.
For the statically indeterminate frame shown in Figure 2, use the moment distribution methodto determine the moments at each joint and support. The members are fixed connected at the supports and joints. EI is the same for each member. Suppose that w = 18 kN/m, P1 = 3x kN,and P2 = 22.x kN. Then draw the SFD and BMD.
x=9
Chapter 10 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 10 - A propped cantilever steel beam is constructed...Ch. 10 - A fixed-end b earn is subjected to a point load at...Ch. 10 - A propped cantilever beam AB of a length L is...Ch. 10 - A fixed-end beam AB of a length L supports a...Ch. 10 - A cantilever beam AB of a length L has a fixed...Ch. 10 - A cantilever beam of a length L and loaded by a...Ch. 10 - A cantilever beam has a length L and is loaded by...Ch. 10 - A propped cantilever beam of a length L is loaded...Ch. 10 - A propped cantilever beam of a length L is loaded...Ch. 10 - A fixed-end beam of a length L is loaded by a...
Ch. 10 - A fixed-end b earn of a length L is loaded by a...Ch. 10 - A fixed-end beam of a length L is loaded by...Ch. 10 - A counterclockwise moment M0acts at the midpoint...Ch. 10 - A propped cantilever beam of a length L is loaded...Ch. 10 - A propped cantilever beam is subjected to uniform...Ch. 10 - Repeat Problem 10.3-15 using L = 3.5 m, max = 3...Ch. 10 - A two-span, continuous wood girder (E = 1700 ksi)...Ch. 10 - A fixed-end beam AB carries point load P acting at...Ch. 10 - A fixed-end beam AB supports a uniform load of...Ch. 10 - -4-4 A cantilever beam is supported at B by cable...Ch. 10 - A propped cantilever beam AB of a length L carries...Ch. 10 - A beam with a sliding support at B is loaded by a...Ch. 10 - A propped cantilever beam of a length 2L with a...Ch. 10 - The continuous frame ABC has a pin support at /l,...Ch. 10 - The continuous frame ABC has a pin support at A,...Ch. 10 - Beam AB has a pin support at A and a roller...Ch. 10 - The continuous frame ABCD has a pin support at B:...Ch. 10 - Two flat beams AB and CD, lying in horizontal...Ch. 10 - -4-13 A propped cantilever beam of a length 2L is...Ch. 10 - A propped cantilever beam of a length 2L is loaded...Ch. 10 - Determine the fixed-end moments (MAand MB) and...Ch. 10 - A continuous beam ABC wit h two unequal spans, one...Ch. 10 - Beam ABC is fixed at support A and rests (at point...Ch. 10 - A propped cantilever beam has flexural rigidity EI...Ch. 10 - A triangularly distributed 1oad with a maximum...Ch. 10 - A fixed-end beam is loaded by a uniform load q =...Ch. 10 - Uniform load q = 10 lb/ft acts over part of the...Ch. 10 - A propped cantilever beam with a length L = 4 m is...Ch. 10 - A cant i levé r b ea m i s supported by a tie rod...Ch. 10 - The figure shows a nonprismatic, propped...Ch. 10 - A beam ABC is fixed at end A and supported by beam...Ch. 10 - A three-span continuous beam A BCD with three...Ch. 10 - A beam rests on supports at A and B and is loaded...Ch. 10 - A propped cantilever beam is subjected to two...Ch. 10 - A propped cantilever beam is loaded by a...Ch. 10 - A fixed-end beam AB of a length L is subjected to...Ch. 10 - A temporary wood flume serving as a channel for...Ch. 10 - Two identical, simply supported beams AB and CD...Ch. 10 - The cantilever beam AB shown in the figure is an...Ch. 10 - The beam AB shown in the figure is simply...Ch. 10 - The continuous frame ABC has a fixed support at A,...Ch. 10 - The continuous frame ABC has a pinned support at...Ch. 10 - A wide-flange beam ABC rests on three identical...Ch. 10 - A fixed-end beam AB of a length L is subjected to...Ch. 10 - A beam supporting a uniform load of intensity q...Ch. 10 - A thin steel beam AB used in conjunction with an...Ch. 10 - Find an expression for required moment MA(in terms...Ch. 10 - Repeat Problem 10.4-41 for the loading shown in...Ch. 10 - A propped cantilever beam is loaded by two...Ch. 10 - A cable CD of a length H is attached to the third...Ch. 10 - A propped cantilever beam, fixed at the left-hand...Ch. 10 - Solve t he preceding problem by integrating the...Ch. 10 - A two-span beam with spans of lengths L and L/3 is...Ch. 10 - Solve the preceding problem by integrating the...Ch. 10 - Assume that the deflected shape of a beam AB with...Ch. 10 - (a) A simple beam AB with length L and height h...
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
- A propped cantilever beam of a length 2L is loaded by a uniformly distributed load with intensity q. The beam is supported at B by a linearly elastic rotational spring with stiffness kR,which provides a resisting moment MBdue to rotation B . Use the method of superposition to solve for all reactions. Also draw shear-force and bending-moment diagrams, labeling all critical ordinates. Let kR= El/L.arrow_forwardA propped cantilever beam of a length L is loaded by a concentrated moment M0at midpoint C Use the second-order differential equation of the deflection curve to solve for reactions at A and B. Draw shear-force and bending-moment diagrams for the entire beam. Also find the equations of the deflection curves for both halves of the beam, and draw the deflection curve for the entire beam.arrow_forwardA triangularly distributed 1oad with a maximum intensity of q0= 10 lb/ft acts on propped cantilever beam AB. If the length L of the beam is 10 ft, find the reactions at A and B.arrow_forward
- Find support reactions at 4 and Band then use the method of joints to find all member forces. Let b = 3 m and P = 80 kN.arrow_forwardA beam AB 6 m long is fixed at A and hinged at B with flexural rigidity EI = 1200 N-m². The beam is load of a couple (M) at point B. 1. Compute the magnitude of the couple (M) at point B to produced one unit radian rotation at B in N.m a. 400 N.m b. 600 N.m c. 200 N.m d. 800 N.m 2. The reaction at point B equal to: a. 200 N b. 400 N c. 300 N d. 600 Narrow_forwardFor the following: a) obtain the Global Stiffness Matrix b) Find the nodal displacements at nodes c) Determine the reactions d) Fins the forces in each elementarrow_forward
- A propped cantilever beam of a length 2Lwith a support at B is loaded by a uniformly distributedload with intensity q. Use the method ofsuperposition to solve for all reactions. Also drawshear-force and bending-moment diagrams, labelingall critical ordinates.arrow_forwardA 5-m simply supported beam AB supports a trapezoidally distributed load.The intensity of the load varies linearly from 50 kN/m at support A to 25 kN/m at support B. What is the reaction at support A in kN?arrow_forwardAn overhanging beam ABC rests on a simplesupport at A and a spring support at B (see gure).A concentrated load P acts at the end of the overhang.Span AB has length L, the overhang has lengtha, and the spring has stiffness k.Determine the downward displacement δC of theend of the overhang. (Obtain the solution by using themodified form of Castigliano’s theorem.)arrow_forward
- For the W6 x 12, Tool L2 beam, determine the moment support reaction at A (in kip-ft). Express the response in three significant digits. You must use the method of superposition.arrow_forwardFind the reaction of both supports using superposition method.arrow_forwardhe L-shaped beam AB is resting on a smooth surface at A and supported by the collar at B which in turn is resting on a smooth rod built into the floor and wall supports as shown in Fig 3. Four loads and two moments of couples act on the beam as shown in Fig. 3. Calculate the reactions at the supports A and B. Neglect the thickness of the beam.arrow_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
Mechanical SPRING DESIGN Strategy and Restrictions in Under 15 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=dsWQrzfQt3s;License: Standard Youtube License