Use the conjugate-beam method to determine the slopes at ends A and D and the deflections at points B and C of the beam shown in Fig. 6.16(a) 60 k40 kBC20 ft10 ft 10 ft-El = constantE=1,800 ksiI= 46,000 in.4(a) Real Beam800El600EIA.D.BM(b)ElDiagram ()k-ftEl800El600EIDBAy20 ft10 ft10 ft-(c) Conjugate BeamFIG. 6.16

Solution: Given that; EI is constant E=1800 ksiI=46,000 in4EI=1800×46000=82.8×106 k-in2EI=575×103…

60 k 40 k B C 20 ft 10 ft 10 ft- El = constant E=1,800 ksi I= 46,000 in.4 (a) Real Beam 800 El 600 EI A. D. B M (b) El Diagram () k-ft El 800 El 600 EI D B Ay 20 ft 10 ft 10 ft- (c) Conjugate Beam FIG. 6.16

60 k 40 k B C 20 ft 10 ft 10 ft- El = constant E=1,800 ksi I= 46,000 in.4 (a) Real Beam 800 El 600 EI A. D. B M (b) El Diagram () k-ft El 800 El 600 EI D B Ay 20 ft 10 ft 10 ft- (c) Conjugate Beam FIG. 6.16

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: The door shown provides outdoors access to the basement of a building. The door has hinges at points…

A: Solution; Given Data; Weight=80 lb F=50 lb

Q: What is the vertical reaction at A for the frame shown? 2 k/ft B 100 k •ft 15 ft El = constant E =…

A: Figure is as shown

Q: raw shear force and bending momentdiagram for beam below 100 KN/m M = 1200 kN.m %3D A 2 m 4 m Im' 1m

Q: Two forces act at the middle of a simply supported beam. Find the magnitude and direction of the…

Q: Replace the force and couple moment system acting on the overhang beam by a resultant force, and…

A: Equilibrium of horizontal forces, ∑Fx=FRxFRx=30sin30°-26cosθ=15-26513=5 kN Equilibrium of vertical…

Q: Q4 /A// Determine the direction cosines for the vector v = (4, 2, -8) B// Calculate the angle…

Q: 3- The cantilever beam shown below carries a distributed load of maximum intensity w= 20 kN/m,…

Q: L. 3 kN F, F, 30°, Tom 4 m 2 m

Q: Draw shear and moment diagram for all figures. 120KN В A 2 m C 4 m 80KN A C 3 m 3 m 3 m

Q: QUESTION 1: Vector F=2.15 kN and vector F2=2.46 kN. Determine the resultant of these two vectors.…

A: Find resultant of given forces from problem 1 and 2 (Note;Answers given of problem 1 are wrong,i…

Q: 4. Solve for the support reactions of the beam shown below using SDM. Assume beam is prismatic and…

Q: 5- Find the vertical movement of the roller (c) in fig shown : E=2 10 MPa 50 kN A=300 mm? 3m b 2 m

A: The given data is: E=2.105 MPaA=300 mm2 L=3 mm2 The FBD of the beam is shown below:

Q: Determine the vertical reaction at A for the simply supported beam shown below? 80 kN/m 80 kN 20…

A: Support Reactions : ∑Fy = 0RA + RD = 80cos45o + 12×80×3 + 20×4 = 256.56 kN ............(1)∑Fx =…

Q: Determine the shear force Vin the beam at the point located 0.65 m to the left of point C. The…

Q: The beam is subjected to the distributed load and the couple shown. If M is slowly increased…

A: Draw the free body diagram. Taking moment at A,…

Q: A closed tank filled with water is rotated about a vertical axi D=4 ft, o = 10 rad/s. Find: Pressure…

A: Given:- D=4ft w=10rad/sec To find:- Pressure at bottom of center of tank

Q: For the beam shown in Figure ST-089, compute the moment at C. 12 kN 10 kN/m A AD 4 m Figure ST-089…

Q: W-200 lb 2. The block shown .is acted upon by its weight W = 200 lb, a horizontal force Q = 600 lb,…

A: Given:- Weight of the block (W) = 200 lb Horizontal force on the block (Q) = 600 lb Resultant force…

Q: What is the vertical reaction at A for the frame shown? 2 k/ft B D 100 k • ft 15 ft El = constant E…

A: Figure is as shown

Q: As shown in Fig. P-216, two aluminum rods AB and BC, hinged to rigid supports, are pinned together…

Q: 13. The roof truss shown is supported by a roller at A and a hinge at B. Find the values of the…

A: This question is related to the Structure Analysis from Civil Engineering. "Since you have asked…

Q: Find the force in spring if support A rotate 0.003 rad C.W and C settle 10mm E=200GPA and…

Q: 3.39 Find the resultant of the two forces and the couple shown, given that P = 20 N, P2 = 30 N, and…

A: Position vectors:CB→=150i-200j mmOP⇀=150i+50j mmVector of CoupleC⇀=CCB→CB→C⇀=C0.6i-0.8j N-mm

Q: Consider the beam in the figure without the applied load. If support C settles 24mm and support A…

Q: A Find the moment at A of the beam shown, El is constant. (kN m) 30 KN 40 KN 50 kN 60 kN/m ↓ 2 m 4 m…

Q: Analyze the frame shown in Fig. 1 by Castigliano's second theorem and draw Bending Moment diagram.…

Q: SITUATION 4 A simply supported beam, 6 m long, is subjected to a clockwise couple of 96 kN-m at the…

A: we have to answer given 3 questions.

Q: CESTRUC PROBLEM SET#3.2 STATICALLY INDETERMINATE BEAMS AND FRAMES P3. For the beam shown, determine…

A: For the beam shown, determine the support reactions and then draw the shear and bending moment…

Q: Q1: Determine the Moment of Force F (100N) shown in fig. down about point (A) by 2 ways at least? 05…

Q: 20 20 kN kN kN F 20 50 kN 80 kN A CE G 3 m 3 m 3 m 3 m

Q: What is the value of the bending moment diagram at point D for the beam shown? 120 kN 120 kN 150 kN…

Q: Figure P.10.11 shows the cross section of a thin-walled, singly symmetrical I-section beam. Show…

A: The x axis is axis of symmetry in such a way that Ixy=0 where the shear centre lies. Since Ixy=0, Sx…

Q: A cantilever beam 4 m long carries a uniform load of 3.5 kN/m over a portion 1.5 m from the free end…

A: Given:- A cantilever beam 4 m long carries a uniform load of 3.5 kN/m over a portion 1.5 m from the…

Q: determine the rotation and vertical deflection at point C for the beam shown in Figure(1). 6 kips C…

Q: 2.62 Calculate the moment of the force P about the axis AD using (a) point A as the moment center…

Q: Determine the bending moment 2.16 m to the right of point A for the beam shown belowif P = 1990 N, T…

Q: DRAW THE SHEAR AND MOMENT DIAGRAMS OF THE FOLLOWING BEAMS AFTER ANALYZING THEM USING THREE MOMENT…

Q: 10 N 10 N 20 N E 10 N B 6.0m 4.0m D F H J L Q 8 BAYS @ 3.0 m EACH 20 N • The Vertical reaction at A…

Q: 10. When drawing the moment diagram for the beam shown below, the 800 lb-ft couple moment applied at…

A: Answer Couple Moment acting at a point will increase or decrease the Bending Moment at that point…

Q: 70 A beam with two equal overhangs carries a unito ad ween supports A and B and concentrated loads…

A: Shear force is defined as the algebraic sum of all the forces acting on either side of the section.…

Q: Questions 6 & 7

A: Since we authorized to solve one question at a time so, we will solve the first one. Please resubmit…

Q: For the beam shown, solve the following: 100kN 80KN 21 1.5I to 2m 5m 4m 1.The deflection at 2m from…

Q: What is moment value (kNm) at support B? 5 kN/m A 4 m 半子 20

A: The given beam is shown-

Q: A.) CREATE A SHEAR DIAGRAM BY AREA MOMENT AND BY PARTS B.) CREATE A M/EI DIAGRAM BY AREA MOMENT AND…

Q: Determine the slope (rad) at point B of the beam shown below. 90 kN B 5 m El = constant E = 200 GPa…

A: A beam 5 metre long fixed at one end and free at another ( cantilever) having load of 90kN at free…

Q: Situation 7 - A 6-m long fixed-ended beam carries a uniformly distributed load of 36 kN/m. Use E =…

Q: What is the value of the bending moment diagram at point D for the beam shown? 120 kN 120 kN 150 kN…

A: Figure is as shown

Q: For the beam and loading shown, use discontinuity functions to compute: (a) the deflection VA of the…

Q: If FB = 700 N, and FC = 560 N, determine themagnitude and coordinate direction angles of the…

A: Unit vectors:- A=0i+0j+6k B=2i-3j+0k C=3i+2j+0k Position vectors of A to B from A to C rAB…

Question

Use the conjugate-beam method to determine the slopes at ends A and D and the deflections at points B and C of the beam shown in Fig. 6.16(a)

60 k
40 k
B
C
20 ft
10 ft 10 ft-
El = constant
E=1,800 ksi
I= 46,000 in.4
(a) Real Beam
800
El
600
EI
A.
D.
B
M
(b)
El
Diagram ()
k-ft
El
800
El
600
EI
D
B
Ay
20 ft
10 ft
10 ft-
(c) Conjugate Beam
FIG. 6.16

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given that;

VIEW

Step 2: Reactions;

VIEW

Step 3: Finding Slopes;

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 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

Can you show P2 = 0.2779P3 + 0.667P1 was solved
Find the value of β and P. (Disregard F1=60kN)
I cannot understand these For point of contraflexural, 40090300=200×x90300 x=2 m θA=0 (fixed support) θDA=θD-θA=θD=Area of MEI Dia between A and D = 19030012×600×3+600×4+12×300×3-12×200×2 =355090300 θD=0.03931 radianθD= 2.252° Deflection at point D ∆D=31-CosθD ∆D=2.3176×10-3 mm Deflection at point D is 2.3176×10-3 mm
20 -In the cantilever beam in the figure, bar clearance L= 225 cm and single load acting on the free end of the bar P = 12 kN. The cross-sectional effects at point B will be calculated. Accordingly, the Moon on the fixed support at point A=? A) None.B) 27000C) 12000D) 0E) 9000
12 x11 is not 144 i napplying equilibrium pls revise
b e Locate the centroid x™ of the cross-sectional area for the angle. Seta =10in ., b = 30 in . x=15.0in Find the moment of inertia ly’ about the y' centroidal axis.
Force L = 112.75 Force M = 37.75 Force N = 37.75
Compute the total net deflection of the simply-supported beam with the following properties listed below. (Include the sign if it is negative) Properties:Length = 11.46 mWidth = 302 mmDepth = 435 mmeccentricity = 96 mmEc = 14,368.22 MPaPrestressing Force = 461 kNUnit weight of concrete = 23.16 kN/m3
Determine the tangential rotation (in radians) at point C. Assume E=200 GPa and I=15x10^6 mm^4. P(kN)=7.5
Solve 8.C.1
Find the end moments for the continuous beam shown using Moment Distribution Method E= 15GPA Diameter of circle= 300mm I at AB= 2 I at BC= 3 I at CD= 4
A rectangular reinforced concrete beam with width of 300 mm & effective depth of 600 mm is subjected to a service bending moment of 200 kN.m. The beam is reinforced with 4-32 mm diameter bars. n = 8. 1. Compute the distance kd? a. 246.33 mm b. 353.67 mm c. 170.33 mm d. 302.33 mm 2. Which of the following gives the moment of inertia about N. A.? a. 4173.81 x 106 mm⁴ b. 3471.81 x 106 mm⁴ c. 4371.81 x 106 mm⁴ d. 4713.81 x 106 mm⁴ 3. Which of the following most nearly gives the maximum stress in steel in Mpa? a. 100 b. 110 c. 120 d. 130