A beam is loaded and supported as shown. (a) Use the double-integration method to determine the reactions at supports A and C. Reaction forces are positive upwards and couples are positive counter-clockwise unless otherwise stated. (b) Draw the shear-force and bending-moment diagrams for the beam. Assume w = 25 kN/m, L= 12.6 m and El = 5.7 x 104 kN-m² is constant for the beam.

A beam is loaded and supported as shown. (a) Use the double-integration method to determine the reactions at supports A and C. Reaction forces are positive upwards and couples are positive counter-clockwise unless otherwise stated. (b) Draw the shear-force and bending-moment diagrams for the beam. Assume w = 25 kN/m, L= 12.6 m and El = 5.7 x 104 kN-m² is constant for the beam.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 125 kN 125 kN (1) 4.2 m 175 kN 175 kN B (2) 5.0 m A The roof and second floor of a building are…

A: Thank you for the question . As per code we are allowed to answer three subparts at a time so we are…

Q: A beam is loaded and supported as shown. Assume w = 6 kN/m and L = 5 m. (a) Use the…

Q: Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical…

Q: W, complete following: a. Determine the number of degrees of indeterminaey b. Solve for all…

A: Given Data- To Find- It is needed to find whether the given solution is correct or not?

Q: B/ 300 MA RB Determine the reactions RA R and MA for this beam. (Solve by the method of…

A: Given prop cantilever and it is asked to find reaction at A and B also moment at A.

Q: equilibrium for a static application. As shown, beam ABC is supported by the roller at A and pin at…

A: The given structure is a statically determinate beam. Using the equations of equilibrium

Q: For the beam and loading shown, (a) Use discontinuity functions to write the expression for w(x).…

A: Given: A cantilever beam Required : (a) Use discontinuity functions to write the expression for…

Q: beam is loaded and supported as shown. (a) Use the double-integration method to determine the…

Q: 2. FORCE MЕТНOD An overhang beam ABC is loaded as shown. Determine the reactions at the supports due…

Q: The cross sectional area of each member of the truss shown in the figure is A = 500 mm^2 and E = 200…

A: Given- A truss carrying external horizontal load at C. Required- To calculate following by using…

Q: A 4 m W B 2m C

A: An overhanging beam is given of length = 12m in which uniformly distributed load is acting. It has…

Q: For the following indeterminate frame (with SI = 1) determine the reactions then draw the shear and…

Q: B MATHalino.com 30 30 mo 30 30 3 m 3 m 3 m 3 m 2.7 kN 4.5 kN 1.8 kN

Q: A load P.is supported by a structure consisting of rigid bar BDF and three identical 18-mm-diameter…

Q: Determine the normal strain EAB in wire AB.

A: Normal Strain is defined as the change in length divided by the original length. Thus, to determine…

Question

A beam is loaded and supported as shown.
(a) Use the double-integration method to determine the reactions at supports A and C. Reaction forces are positive upwards and
couples are positive counter-clockwise unless otherwise stated.
(b) Draw the shear-force and bending-moment diagrams for the beam.
Assume w = 25 kN/m, L = 12.6 m and El = 5.7 x 104 kN-m² is constant for the beam.
A
Answer:
(a) Ay = i
Cy= i
Mc = i
(b) Vmax
Mmax
= i
i
W
L/2
B
L/2-
! kN
! kN
kN•m
KN
kN.m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Simplify the problem

VIEW

Step 2: Reaction force calculation

VIEW

Step 3: Reaction force and Shear/ Moment equations

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The beam shown in the Figure q2 below is a continuous beam of 2 spans. Determine the reactions at the supports using a method of stiffness matrix. Assume 1 and 3 are fixed and 2 is a roller. El is constant. 5 6 1 10 kN/m -5 m 2 FIGURE Q2 2 5 kN/m 2 4 m 3 3 4
Given the following distributed loading with p=4N/m, a = 4m and b = 2m. Replace the load with an equivalent resultant force and specify its location on the beam measured from point O (x). X: a What is the magnitude of FR: m Р b N
3. A T-shaped structure is acted in by a distributed load that varies from 100 N/m to 0 N/m and by a force P. Attached at A and C are two cables. Each of the cables is attached to a ring at E. A 600 N weight is suspended from the ring. The structure can rotate about B but is held in the position shown by the force P. a. From the geometry of the problem, determine the distance d, b. If the total moment about B is equal to zero, what is the magnitude of force P, and c. Determine the tensions in cables EA and EC. B 100 N/m 0.825 A 1.50- P 78° -0.625 260 E 600 N
For the beam and loading shown,(a) Use discontinuity functions to write the expression for w(x). Include the beam reactions in this expression.(b) Integrate w(x) twice to determine V(x) and M(x).(c) Use V(x) and M(x) to plot the shear-force and bending-moment diagrams.Let a = 3.8 m, b = 1.3 m, wA = 17 kN/m, and wB = 51 kN/m. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
F1 F2 b M a C A a a Given the system above, F1 = 34 N, F2 = 96 N, M = 245 N-m, a = 3 m, b = 2 m, and a = 40°. %3D (a) Represent the system using a single force. Determine the magnitude of the force and its location relative to point A. Round all answers to the nearest integer. The magnitude of the force (N) is: N The position of the force relative to A (m) is: m (b) Represent the system using a force and a couple moment acting at point C. Determine the magnitudes of the force and the couple moment. Round all answers to the nearest integer. The magnitude of the force (N) is: N The magnitude of the couple moment (N-m) is: N-m
Learning Goal: To determine the reaction forces at supports on a horizontal beam by using the equations of equilibrium for a static application. As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by a=2.0a=2.0 ftft, b=6.0b=6.0 ftft, and c=11.0c=11.0 ftft. The applied forces are F1=1.50F1=1.50 kipkip and F2=2.00F2=2.00 kipkip. Force F1F1 is applied at an angle θ=35∘θ=35∘ with the horizontal. Neglect the weight of the beam. Determine the vertical reaction at A. Determine the horizontal component of the pin reaction at C. Determine the vertical component of the pin reaction at C.
Below presents a continuous beam with A being fixed and B is pinned and C has a roller. Take: E = 200 GPa 1 = 8 x 106mm Load = 2 kN A 5m B Using the following method: 2 KN + 2m + 2m |- You are tasked to analyze the continuous beam by calculating the: > the displacement on the beam at B and C and > the reaction at the supports Matrix Structural Analysis Use the following steps as a guide to analyze the beam: Matrix Structural Analysis ✓ Produce Notations ✓ Establish the known displacements and known external load ✓ Produce Member Stiffness Matrix ✓ Displacement and Load ✓ Calculating the displacement Calculating the reaction at the support
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=1.50 m, b=5.00 m, PA = 75kN, and PC = 90kN. Construct the shear-force and bending-moment diagrams. Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below.
Beam AC with constant EI has a roller support at point B and slider support at point A as shown in the figure below. Using the conjugate beam method to determine the magnitude of the couple moment M0 in terms of P if the displacement at point C is zero. Hint: the slider support can be considered as a fixed support but can move freely in the vertical direction. Use these properties to find the corresponding conjugate support for this problem.
Q.2) (a) Calculate the support reactions of the loaded beam shown below. (b) Write equations for w(x), V(x) and M(x) of the beam using singularity functions. (c) Sketch the shear-force and bending moment diagrams for the beam for the beam using the Graphical method. Label the values of shear-force and bending-moment at all key points. 350 N.m G 0.5 m4 2m 95 N/m, 200 N 250 N.m 80 N/m 2m 300 N 0.5 m
For the beam and loading shown, (a) Use discontinuity functions to write the expression for w(x). Include the beam reactions in this expression. (b) Integrate w(x) twice to determine V(x) and M(x). (c) Use V(x) and M(x) to plot the shear-force and bending-moment diagrams. Let a = 3.0 m, b = 1 m, WA = 18 kN/m, and wg = 45 kN/m. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. WB "| WA X C a Answer: Vmax Mmax KN kN.m B b