1. Given: A structure shown below Find: (1) Determine the magnitudes and locations of the two distributed loadings. In other words, determine the magnitude and location of the loading between A and C, and those of the loading between D and B. (2) For the member DEB, (a) take the moment at B and find the reaction at E and (b) then find By by either EF,= 0, or EMp=0. (Recall that support conditions at B and E are rollers, so there are no reactions in x-direction.) (3) For the whole structure, 3 unknown forces and moment at A (A, A, and Ma) are the only unknowns. Determine those 3 unknowns at A. 900 N/m 900 N/m C |D - E - 3 m -→- 3 m →- -- 3 m -- 3 m -| 4 m -

1. Given: A structure shown below Find: (1) Determine the magnitudes and locations of the two distributed loadings. In other words, determine the magnitude and location of the loading between A and C, and those of the loading between D and B. (2) For the member DEB, (a) take the moment at B and find the reaction at E and (b) then find By by either EF,= 0, or EMp=0. (Recall that support conditions at B and E are rollers, so there are no reactions in x-direction.) (3) For the whole structure, 3 unknown forces and moment at A (A, A, and Ma) are the only unknowns. Determine those 3 unknowns at A. 900 N/m 900 N/m C |D - E - 3 m -→- 3 m →- -- 3 m -- 3 m -| 4 m -

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: Question 6 A straight bar is fixed at edges A and B. Its elastic modulus is E and cross section is…

A: A straight bar fixed at edges A & B as shown- Elastic modulus = E, Cross-section area=A, Load…

Q: A two member truss ABC is shown in the figure. The force (in kN) transmitted in member AB is

Q: b) A cylindrical rod AB is made of aluminum is connected at B to a brass cylindrical rod BCD as…

Q: Beam determine the support reactions (solve using integral)

A: Hi student! you haven't mentioned the area expression of the load in the questions so, we are…

Q: Problem 3: For the beam shown in Figure 3. A. Find the reaction support B (R) B. Find the reaction…

A: To find support reaction at point B and D

Q: Problem 2: 503 N 203 N Solve for the reactions at Ay, Ax and By. 109 15° 2 m

Q: P= 30, Determine the interactions at the following beam supports

A: ### Internal Support Reactions using Equilibrium Equations ### Because Structure is Determinate

Q: Example 2: Rigid rod supported by BDE, AB and CD. AB is made of aluminum (E = 70 GPa) and its area…

Q: A two member truss ABC is shown in the figure. The force (in kN) transmitted in member AB and BC is

Q: Determine the support reactions of the beam shown. EI is constant for the entire beam

A: Question is based on the beam subjected to the uniformly distributed and varying load. Length of…

Q: at the location of element H and draw them on al stresses at the location of element H. f safety…

Q: 1. Determine the support reactions at the pin A and the reaction at B. Given the weight at G is…

Q: A зоки/т Чт ще

Q: 3 m

Q: Solve for the reactions on the support in the figure below.

A: we assume a beam of constant flexural rigidity with loadings as given degree of static indeterminacy…

Q: The cross secton is rectangular with a base of 4 in and height of 5 in A force of P 12 kip is acting…

A: b = 4 in.d = 5 in.

Q: Determine the reactions at each support of the beam shown in tha figure. EI is constant

Q: The cantilever beam is supported by a fixed support at A, and subjected to the force F-470 lb and…

Q: link B pin 2P kip ft P kip/ft

Q: The flat truss in the figure below is under the action of three external loads P, Q and S, and is…

A: Forces P, Q and S are inclined forces. The forces P, Q and S can be resolved into horizontal and…

Q: 30 kN B MATHalino 5 m MATHalino com 4 m 4 m с 4 m E 3 m

Q: If the following structural beam has a rectangular cross-section and is subjected to the loadings as…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: C 136 kN [63 kN 3.6m -4.8 4.8 +4.8m

A: Finding out the given member forces.

Q: In each case, calculate the reaction at A and then draw the free-body diagram of segment AB of the…

A: Hi there!! since you have asked multiple questions, we will solve the first question for you. If you…

Q: e bending-moment diagram and compute the reactions. E and I are constant. Consider only bending…

A: Given:- w=10kN/m P=80kN To find:- bending-moment diagram the reaction

Q: 30 kN 40 kN 50 kN 60 kN/m 4 m 2m 2 m 2 m

Q: Determine the components of reaction at the fixed support A shown in the figure. Neglect the…

Q: A plane truss is loaded as shown in the figure. If the force acting on the member AC and BC are 50kN…

A: The given data is as follows: Force on member AC=50 kNForce on member BC=70 kN

Q: Castigliano's theorem Continuous frame ABC has a pin at A, a guided bracket at C, and a rigid corner…

Q: The frame shown is supported by fixed support at E and smooth surface at A. Find: • the internal…

Q: A rectangular tetrahedron has six sides of length 9 cm. If a force of 600 N is applied along edge BC…

A: Let the length be lForce be…

Q: F, = F, = 115 N F2 = (2/3 F,) + 2 F, = F, = F, • 2 a = 18 m %3D

A: Given data:

Q: A bar assembly ABC is loaded with axial force 'P' is constrained at both ends. Analyze a bar element…

A: Data given P = 50 kN L = 7.1 m = AB area = 700 mm2 BC area = 200 mm2 E = 195 GPa = 195 kN/mm2…

Q: The beam below is subjected to a linearly distributed load, as shown in figure. This beam is…

Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

100%

1. Given: A structure shown below
Find: (1) Determine the magnitudes and locations of the two distributed loadings. In
other words, determine the magnitude and location of the loading between A and C,
and those of the loading between D and B.
(2) For the member DEB, (a) take the moment at B and find the reaction at E and (b)
then find By by either Fy= 0, or EMp = 0. (Recall that support conditions at B and
E are rollers, so there are no reactions in x-direction.)
(3) For the whole structure, 3 unknown forces and moment at A (Ax, Ay and Ma) are
the only unknowns. Determine those 3 unknowns at A.
900 N/m
900 N/m
B
A
C
D
2E
- 3 m 3 m -
4 m -
3 m3 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 Free body diagram

Step 2 Part 1

Step 3 Part 2

Step 4 Part 3

Step by step

Solved in 4 steps with 1 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

Example 2: Rigid rod supported by BDE, AB and CD. AB is made of aluminum (E = 70 GPa) and its area is 500 mm2, CD is made of steel (E = 200 GPa) and its area is 600mm2. Find a) the displacement at B b) the displacement at D c) the displacement at E due to the 30kN force acting at the end of E. Solution: We find the forces from the free body diagram of BDE.
Need correct answer
The flat truss in the figure below is under the action of three external loads P, Q and S, and is supported under pins A and B. The weight of the truss is negligible in relation to the applied loads. Read the following statements and then check the correct alternative. 1)the supports provide exactly the amount of links needed to keep the structure in balance2)the corresponding reactions involve three unknowns that can be determined through equilibrium equations.3)this is a situation where the rigid body is completely bound4)reactions are statically indeterminate which ones are correct?
From the following armor, determine the following: Reactions in A and F. The internal forces at node C. (Indicate whether the forces are in compression or tension.) The internal forces in the elements CH, CD and HI. (Indicate if the forces are in compression (C) or tension (T)). Draw the respective free-body diagrams. Consider the following: A and F are supports. the angles a, B, y are angles of 90, 60 and 30 ° respectively (Check image pr2 for the image of the armor) (Check image pr2.2 for the values to be used)
The cantilever beam is supported by a fixed support at A, and subjected to the force F-470 lb and the couple M = 3210 ft-lb. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(x) and M(x). Take z = 0 at point A. 2013 Michael Swanbom F₁ (CC) a b BY NC SA a Support Reactions The force reaction at A is The couple moment reaction at A is Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 4 ft 3.2 ft Shear Force and Bending Moment Equations In section AB: V(x)= In section BC: V(x)= B lb (take up as positive). lb and 'M(x)= M lb and 'M(x)= b- C ft-lb (take counterclockwise as positive). ft-lb. ft-lb.
b) A cylindrical rod AB is made of aluminum is connected at B to a brass qylindrical rod BCD as shown in Figure 8. The shear modulus, G of aluminum rod AB is given by 27 GPa and the brass rod BCD of 39 GPa. The torsional reactions, TA and Ts are located at the ends of A and B, respectively. Given the portion CD of the brass rod is hollow and has an inner diameter of 40 mm, examine the angle of twist at A. 60 mm Tg = 1600 N - m 36 mm TA = 800 N m 250 mm 375 mm A 400 mm Figure 8
This is a mechanics of material question please show all steps clearly please show the given, what is to be found, and a free body diagram.
Question 2 A truss structure as shown below needs to be analyzed. It was studied that stiffness method is most suitable. As an engineer, a. Find the members stiffness АР, 5 b. Determine the global stiffness Matrix c. Find the displacements at the nodes. d. Find the reactions at the supports. CR, 10 EV, 10 AN, 5 400 kN 4 800 kN 3 m (1) 4 m 1, 3.
From the given figure Solve the following: Let P = 30 Find: Vertical reaction at CHorizontal reaction at CAxial force at member AB
(b) (5 pt) Draw and properly label a free-body diagram of ring A of the structure shown. Include only relevant information; do not include any information that is not relevant to the free-body diagram. Note: Assume the ring at A is massless. 3 m 3 m wwww kac = 20 N/m 4 m KAB = 30 N/m www. KAD = 40 N/m B
A bar assembly ABC is loaded with axial force 'P' is constrained at both ends. Analyze a bar element by i) ii) A Determining the reactions at either ends. Determining the reactions at either ends when the joint C is reduced by 'u' mm from wall/constraint joint C. 0.7 L Figure 1 0.5 L U
Classify each of the pin-connected structures shown as statically determinate or statically indeterminate. If statically indeterminate, report the number of degrees of indeterminacy. The structures are subjected to arbitrary external loadings that are assumed to be known and can act anywhere on the structures.