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
Textbook Question
Chapter 10, Problem 10.5.4P
A two-span beam with spans of lengths L and L/3 is subjected to a temperature differential with temperature T1on its upper surface and T2on its lower surface (see figure).
- Determine all reactions for this beam. Use the method of superposition in the solution.
- Assume the spring support is unaffected by temperature.
What are the reactions when k
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Problem For the beam shown in Figure
A. Find the reaction at support B (RB)
B. Find the reaction at support D (RD)
For the beam shown in Figure 3. A. Find the reaction at support B (Rg) B. Find the reaction at support D (Rp)
Consider the beam shown in (Figure 1). Suppose that w = 880 N/m . Determine the y component of reaction at A using scalar notation. Determine the x and y components of reaction at B using scalar notation.
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
- Find the support reactions of the beam given in the figure.arrow_forwardThe beam in the figure below is subjected to a load P= 2 kN at its end. Young's modulus is 210 GPa and the moment of inertia for the beam's cross-section is 5×106 mm4. A |--1--| a B |--x₂ b P Тос C If a = 1.6 m and b= 0.6 m, determine: a) Reaction value at support A. Positive direction is considered upwards. Enter your answer in kN to 2 decimal places.arrow_forwardA cantilever beam is subjected to an inclined force (P) as shown in Figure 1, the equilibrium normal force component on the cross- sectional area at the point A is (in kN) Figure 1: P 400 kN 30 1000 mm A Area 30 mm 20 mmarrow_forward
- 3. A 3-meter-long beam is used to support a heavy object. The object has a uniform distributed load of 6 kN/m on the entire beam. The Young’s modulus and moment of inertia of the beam are 200 GPa and 5×105 mm4, respectively. The beam is supported at three positions as shown below. (a) Label the element and node numbers (either on the figure or with a new simple sketch). (b) Determine the slopes at the three support positions of the beam.arrow_forwardd- All of the above. 4- The value of reaction acting on point B, for the simply supported beam shown in Figure (1) below is: 40N.m a- 10N (upward). b- 10N(downward). c- 5N (upward). d- 20N(upward). 2m 2m Figure (1)arrow_forwardModulus E of elasticity, for the ACB beam with inertia I; a- Find the elastic curve equation with the singularity equation. b- Find the reaction forces at Point A. c- Find the reaction force at Point B. (2/3) W 2W A W -L/2 Larrow_forward
- For the structure configuration shown in figure ( 3 ) , Determine the reactions at the supports 10 N m Figure. 3 Page 1 of 1arrow_forward(iii) Determine the support reactions for the following loaded beam as shown in Figure 3. 15 kN 20KN/m 20 kN/m A B 3m. 3m. 6m- Figure 3arrow_forwardThe beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E= 200 GPa; /= 1120 x 106 mm²]. If w= 65 kN/m and P= 124 kN, determine: AY, V 1.5 m B W 3.5 m P C 2.5 m D Figure Q.2 Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. Part B. The magnitude of the maximum bending stress in the beam. f) Find the maximum bending moment in the beam. Enter your answer in kNm to two decimal places. g) Calculate the magnitude of the maximum bending stress in the beam. Enter your answer in MPa to two decimal placesarrow_forward
- Q.2] Find the reactions at point A for the structure shown in the figure. z kN/m ++ A 10m 5m 20 KN #arrow_forwardDetermine the deflection of the beam at right end? For the beam shown in figure. If the modulus of elasticity E-72 GPa, and the moment of inertia is 1=1.9 x 10-7 m 4. Given L=3 m and w=104 N/m В w N/m A EL L In the box below, enter the reaction force R, in N at point A with correct sign upto 4 digits after the decimal point.arrow_forwardFor the beam shown in Figure 1. A. Find the reaction at support A (RA) B. Find the reaction at support C (Rc) C. Draw the shear force diagram D. Draw the bending moment diagramarrow_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
Extent of Reaction; Author: LearnChemE;https://www.youtube.com/watch?v=__stMf3OLP4;License: Standard Youtube License