A B. -8 m -8 m- 8 m- E = 70 GPa I= 800 (10) mm (a) Continuous Beam B 0.02 m (b) Chord Rotations Due to Support Settlement MBA MCB B MCD (e) Free-Body Diagrams of Joints B and C 23.63 18.37 18.37 10.5 91 28 B D 98 56 56 23.63 23.63 18.37 18.37 10.5 10.5 B, = 42 C, = 28.87 (d) Member End Moments and Shears В 98 kN - m 28 kN - m 23.63 kN 42 kN 28.87 kN 10.5 kN (e) Support Reactions FIG. 15.9

A B. -8 m -8 m- 8 m- E = 70 GPa I= 800 (10) mm (a) Continuous Beam B 0.02 m (b) Chord Rotations Due to Support Settlement MBA MCB B MCD (e) Free-Body Diagrams of Joints B and C 23.63 18.37 18.37 10.5 91 28 B D 98 56 56 23.63 23.63 18.37 18.37 10.5 10.5 B, = 42 C, = 28.87 (d) Member End Moments and Shears В 98 kN - m 28 kN - m 23.63 kN 42 kN 28.87 kN 10.5 kN (e) Support Reactions FIG. 15.9

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 system shown in the figure has a fixed support at Å and an alumimm rod of 0.5m length at C. The…

A: Due to temperature decrease, there will be compressive stress generated in the aluminum rod. ∆Lrod=…

Q: Perform double integration of the bending moment equations. You will obtain deflections in this…

A: Modulus of elasticity of section, The load intensity varies from

Q: 2. For the beam loaded as shown, by conjugate-beam method (CBM), determine the slope and deflection…

A: Given, The given beam is one side over hanged it is loaded with udl and point load. Our aim is…

Q: Q1/For the beam shown in Fig.1, using the Double - Integration method determine: The deflection at…

Q: 9 kN 4.5 kN/m E= 120 GPa 90 mm 20 mm A В 40 mm 30 mm 1m 1m-

Q: Determine the deflection at point D of the beam shown in Figure 1 using the principle of virtual…

Q: The 9m beam in figure 05 is loaded as shown. The location of maximum deflection measured from the…

A: Reaction calculation:Ra+Rb=0.5×2×9=9kNMoment about A =0Rb×9-9×23×9=09Rb=54Rb=6kNRa=3kN Rate of…

Q: QUESTION 2. An oblique bending moment of M = 5 kN.m is applied on the cross-section of an aluminum…

A: Solm ⇒ * Nevtral axis orientation* A1=10×40 ⇒ 400 mm2 , x1=402 ⇒ 2c mm, y1 = 5 mm A2 = 50×10 ⇒ 500…

Q: Q2) For the same structure, determine the magnitude of P so that the lateral deflection at point B…

A: Solution;

Q: Example A beam B' is supported an beam A' as shown in The flexural rigidity of beam B' is twice that…

A: Given : This is a problem of solid mechanics where we have to determine the deflection at C ?

Q: 3. The damped motion of a vibrating particle is defined by the position x1 [1-T+ (y,e cos2pt ) j ,…

A: The location of a body is defined using a position vector. The displacement vector is used to…

Q: 1. Determine the deformation of the figure shown. Use E = 75 GPa. 30 mm 20 mm 30 kN 30 kN 400 mm

A: Given: Length of tapered Beam L= 400 mm Load acting on Beam P=30 KN Modulus of the elasticity E=75…

Q: A simply supported beam supports a point load Pof 164KN at 1.8m away from the right support…

Q: The magnitude of the concentrated load to be applied at the free end B of a cantilever beam as shown…

A: AB is a cantilever beam, where B is free end. Now, concentrated load is applied on free end i.e, B

Q: Exercise23.7 A column of hollow rectangular cross-section and made of steel plates is shown in Fig.…

A: Given:- The cross-section of the hollow rectangular column is given The thickness of the section =…

Q: We are given the structure of Fig. 4a. a) Calculate the deflection at point B, using the unit load…

Q: 7-82. The material distorts into the dashed position shown. Determine the average normal strains…

A: The figure is shown below,

Q: The 16 x 22 x 25-mm rubber blocks shown are used in a double U shear mount to isolate the vibration…

Q: Rigid bar ABC is supported by bronze rod (1) and stainless steel rod (2) as shown in the figure. A…

Q: using the moment area theorems determine the deflection at point B.

A: ###Calculation of deflection at B using Area Moment Diagram

Q: ollowin Conjugate- Consider 250 mm x 250 mm section and E = 200 GPa. Show complete and organized…

Q: IS AT THE FIXED SUPPORT point B is 6 meters from left support, point C is 9 meters from left support

Q: Match the following methods, with appropriate analysis Methods A. Strain energy method B.…

A: in this question There are two rows consisting of different methods of analysis of structure and the…

Q: A beam AB of length L (Fig. P.13.2) is freely supported at A and at a point C w KL from the end B.…

Q: Example 11.21. An experimental beam of steel and of uniform section, I = 5000 cm¹ is simply…

A: I= 5000cm⁴L= 4mE= 2.04×10⁵ N/mm²Central deflection = 8mm

Q: Q3. a- A rectangular plate simply supported along its edges and subjected to a uniform of intensity…

A: "Since you have posted a question with multiple sub-parts, we will solve the first sub-part for you.…

Q: Show that the motion of a critically damped system due to initial displacement u(0) and nitial…

A: Introduction- Damping is an impact inside or on an oscillating system and reduce or prevents its…

Q: A simply supported beam carries the load shown. Determine the maximum deflection. 10kN/m A В 6m

Q: (A): Find the deflection equation of simply supported beam which shown in figure by using the…

A: What is half range Fourier sine series? In mathematics, a half-range Fourier series is…

Q: A simply supported beam AB is subjected to a uniformly distributed load and a concentrated load as…

Q: A 7m cantilever beam supports a concentrated load equal to 60KN at the midspan. Using double…

Q: x K/ft 10k 3 2' 4' 1-5 Figure 4

A: Given data:

Q: The beam shown in Fig. 10.6(a) is to be analyzed to determine the member end forces and deflections…

A: A beam is an essential element in the construction of any building or structure. It resists loading…

Q: A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has…

A: Given: Length, L = 300 mm Force, F = 414 N Modulus of Elasticity, E = 2 x 105 N/mm2 Moment of…

Q: 2. Determine the displacement and slope at point C for the beam shown in Fig. 2. Note that EI is…

Q: N. Consider the figure shown below, neglect the self-weight of members AB and BC. 2.0 m E B +0.9 m…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Determine the reactions and draw the shear and bending moment diagrams for the continuous beam shown in Fig. 15.9(a) due to a settlement of 20 mm at support B. Use the slope-deflection method.

A
B.
-8 m
-8 m-
8 m-
E = 70 GPa
I= 800 (10) mm
(a) Continuous Beam
B
0.02 m
(b) Chord Rotations Due to Support Settlement
MBA
MCB
B
MCD
(e) Free-Body Diagrams of Joints B and C
23.63
18.37
18.37 10.5
91
28
B
D
98
56
56
23.63
23.63
18.37
18.37
10.5
10.5
B, = 42
C, = 28.87
(d) Member End Moments and Shears
В
98 kN - m
28 kN - m
23.63 kN
42 kN
28.87 kN
10.5 kN
(e) Support Reactions
FIG. 15.9

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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 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

Static of Rigid Bodies Prob 03: Locate the centroid of the plane area shown: y 4 in. -8 in.-
16.15 Problems Both reactions and the shearing force and bending moment P16.10 at section 1-1. (Ans: load @ 1-1: V1-1 = -0.333,0.667, M1-1 = 10 ft) P16.3 Vertical ing mo %3D %3D 11 A В 1 .C 30 ft 30 ft – 15 ft' 15 ft Problem 16.3 P16.11 Vert ing M. P16.4 Reaction at C, moment at C, and the shearing force and bending
how to we solve the 157625/24 EI and 5775/4EI?
2) The box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 inches. The beam is subjected to a maximum internal shear force of 475 lb. a) Locate the neutral axis and compute the moment of inertia for the cross-section in in*. [Ans. to check: 1 = 197.7 in¹] b) Calculate the first moment of area in in³ at each of the two connection interfaces (i.e. once for the top flange and once for the bottom board). Draw a clear sketch of the cross-section showing the neutral axis and the necessary dimensions to calculate the first moment of area. [Ans. to Check: Qtop = 31.2 in³] c) Compute the shear flow occurring between the wood and the nails at each of the two connection interfaces in lb/in. [Ans. to Check: qbottom = 49.0 lb/in] d) Design the section by choosing the required shear strength of the nails (in lb). Check both interfaces but choose only one assuming you would like to use the same nails for the entire beam. [Ans. to check: 75 lb…
pt321656&cmid%3D18824 The resultant of the three forces shown in the figure is 721 N and acts on the direction u-axis. F2=587 N F3=446 N a=41° F2 F, 450 F3 1a) Calculate the angle O (in degrees). Vant 1b) Calculate the F (in Newtons). anme
Which of the following is corresponds to the force acting at member AB? E 20 k 12 ft C D 12 ft 5 k B A |-5 ft--5 ft-- 14 ft- Select one: O a. 13.86 k O b. 15.40 k O c. 18.82 k O d. 17.11 k
solve pls
In order to replace the loading system acting on the beam shown below by a resultant force and a couple moment acting at Point B: x 4m 19KN FR 8 * * 4m 2m xN/m Determine: a) The component of the resultant force in the x-direction (FRx). Provide the direction of the force. b) The component of the resultant force in the y-direction (FRY). Provide the direction of the force. c) The resultant couple moment (MRB). Provide the direction of rotation (CW or CCW).
The beam CBA is supported by a ball and socket support at A and two cables BD,BE as shown. It is loaded by two forces F=1260 KN and P-420 KN. 6 E 6. В 7 y 4 X, 98 100 magnitude of Ax (KN) magnitude of Ay (KN) magnitude of A, (KN)
3.81 A 500-N force is applied to a bent plate as shown. Determine (a) an equivalent force-couple system at B, (b) an equivalent system formed by a vertical force at A and a force at B. A B 125 mm Fig. P3.81 500 N 300 mm 30° $75 75 mm 175 mm
Which of the following is corresponds to the force acting at member CE? E 20 k 12 ft C D 12 ft 5 k B A -5 ft--5 ft-- -14 ft- Select one: O a. 33.43 k O b. 44.94 k O C. 40.85 k O d. 37.14
Important: Please show X1, and X2 according to your student number. Q1. Use the virtual work method to determine the rotation of joint D of the frame shown in Fig. 1. Both supports of A and B are pin connections. There is a hinge at point E in the structure. X1 kN/m 21 D 21 21 F 21 3 m Hinge X2 kN 3 m A - 3 m-- -5 m 5 m 2 m NOTE: X1 = 100.8KN/m E= 200 GPa X2= 549KN I = 350 (106) mm4 Figure 1