Use Moment Area Method to analyze the deflection of the beam shown: E=29x106 psi, I= 170 in 2400 Ib 1500 Ib -8 ft- 8 ft WI0x 33 C Determine the following:(2 decimals for non-whole numbers) (a) El tc/A= x10° lb- in3 (b) Ely at the free end C = x10° lb-in3

Use Moment Area Method to analyze the deflection of the beam shown: E=29x106 psi, I= 170 in 2400 Ib 1500 Ib -8 ft- 8 ft WI0x 33 C Determine the following:(2 decimals for non-whole numbers) (a) El tc/A= x10° lb- in3 (b) Ely at the free end C = x10° lb-in3

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: Determine the deflection specified in each of the following beams. Use only one method to solve for…

A: Given: A simply supported beam with hinge support at A and roller support at C. To find: Deflection…

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

A: From the given question it is required to calculate slope at B and Deflection at A of the loaded…

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

A: Given:- EI=145000 kip-ft2wo=5.6 kips/ftLAB=13 ftLBC=7 ft To find:- Slope at B Slope at A

Q: 1. (CONJUGATE-BEAM METHOD) Determine the maximum deflection of the steel beam shown below. E = 200…

A: Given:- The modulus of elasticity (E) = 200 GPa The moment of inertia (I) = 60×106 mm4 The magnitude…

Q: 2 m 2 m A Determine C1. * 54 -72 72 Determine C2* O 148.4444 -130.6667 0. -197.3333 Find h.* O…

Q: A horizontal simply-supported beam is loaded as shown in Figure 1. It has a rectangular cross…

A: h = 70 mm

Q: 1- Find the deflection curve for the beam shown, then find the reactions at the supports. (Neglect…

A: Solution Spilit the beam into two-part

Q: Determine the deflection specified in each of the following beams. Use only one method to solve for…

A: Given: Required: Midspan deflection

Q: Using any Methods: (Double Integration, Conjugate Beam, Area Moment) Determine the deflection of the…

Q: We are given the beam shown in Fig. 4. The moment of inertia of member AB is two times bigger than…

A: E = 5000 ksi = 720000.00 ksf I = 1000 in4 = 0.0482 ft4

Q: Find the deflection at b, c and d for the loaded beam shown in the figure below by using finite…

Q: Q7 Use method of conjugate beam to determine the slope and deflection at the center of the beam…

A: Step 1

Q: A/ Use Castigliano's second theorem to determine the vertical deflection at joint B of the trusses…

A: The diagram of a truss is provided. We have to find out vertical deflection at B by using…

Q: 400 lb/ft B 3

A: Given data Moment equations UVL Span length

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

A: Given:- Given Data:EI = 136000 kips.ft2w0=4.6kips/ft, LAB=13ft, LBC=7ft

Q: For the beam and loading shown, use discontinuity function: beam at C. Assume a constant value of El…

Q: Use the unit load method (or Principle of Virtual Work) to determine the deflection dA in inches at…

A: EI = 28800 k-ft2

Q: For the beam and loading shown, using the double integration method, determine the deflection at B…

Q: P A C В

Q: A cantilever beam subjected to uniform variable load, if the beam is made of I Beam having a…

Q: Problem #1 #1 Determine the vertical displacement of joint A. Each bar is made of steel and has a…

A: Given P = 274. Units are not given.

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

Q: A truss carries a concentrated load at points B. E F. and G as shown in the figure below. Using unit…

A: reaction is calculated and value of P is find=20KN

Q: The beam below is loaded as shown. Using double double integration method. Determine the following…

Q: A 10 m long beam has a 3 kN point load applied to the cantilever steel beam. The load is applied 4 m…

Q: For the cantilever beam shown with E = 15,000KN/cm?, determine the deflection [in cm] at point…

A: We have to find the deflection at point midway between A and B

Q: Vertical rod CD of length L = 2 m, cross-sectional area A = 150 mm2 %3D %3D and modulus of…

Q: 1. Determine the beam For the beams and loading shown below, EI is constant deflection at point C.…

Q: Determine the vertical deflection of joint D produced by the 30-kip load as shown in the figure…

Q: For the beam shown, Given: f'c = 24 MPa fs = 115 MPa n- 8 a. Locate the neutral axis when the beam…

A: R.C.C. Structure plan :a mix of cement and steel support that are joined into one piece and work…

Q: Determine the ff. unknowns on the beam shown using CONJUGATE BEAM METHOD. Consider 250 mm x 250 mm…

A: M/EI diagram in the real beam is loading in the conjugate beam Fixed support in real beam = free end…

Q: In the figure shown, each of the four vertical links connecting the two rigid horizontal members is…

Q: Find the location and the magnitude of the maximum deflection of the beam shown. Use the Conjugate…

A: ∑MD=0RA×30 - 60×20 - 60×10 = 0RA=60 k∑V=0RA+RE=60+60RE=60 k∑MA=060×10 + 60×20 + ME - 60×40 = 0ME=600…

Q: For the cantilever beam and loading shown, using the area moment method, determine the deflection at…

A: Given data E =200 GPA = 200000MPA I =6.3617*10-7 M4 To calculate deflection at free end

Q: The cantilever beam shown below is loaded with a concentrated moment at free end B. Determine: a)…

A: A cantilever beam is loaded as follows

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

A: Given:- E=113000 kip-ft2wo=2.0 kips/ftLAB=15 ftLBC=8 ft To find:- Slope at B Deflection at B

Q: ( Determine the slope and deflection at point B of the steel beam shown below using conjugate beam…

Q: Determine the horizontal deflection of point D due to the 3-kip load on the beam as shown below.…

A: E = 29000 ksi I = 120 in.4 Determine the horizontal deflection of point-D. Let's solve using Unit…

Q: G00 KN-m L= 10m

Q: For the beam and loading shown, determine the deflection at the mid point in slope at point B in…

A: Given data: E=200 GpaI=1660*106 mm4w=158 kN/mL=13 mEI=(200*103)*(1660*106)=332*1012 N-mm2EI=332000…

Q: questions/1679264 Use Double Integration Method to analyze the deflection of the beam shown: IS EN 6…

Q: For the beam shown below, determine the vertical deflection at point B by using the virtual work…

Q: Determine the Horizontal Deflection at B of Frame shown in inches unit. Use the Virtual Work Method.…

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

Q: Determine the maximum deflection for the beam shown. 40 k 60 k Į Į D B с 10 ft I 10 ft 21 10 ft I

A: The free body diagram of the beam is shown below:

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

100%

Use Moment Area Method to analyze the
deflection of the beam shown: E=29x106
psi, I= 170 in
1500 Ib
2400 Ib
- 8 ft
8ft
WI0x 33 C
Determine the following:(2 decimals for
non-whole numbers)
(a) El tc/A=
x10° Ib-
in3
(b) Ely at the free end C =
x10° lb-in
(c) actual deflection in inches at C =
inches

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 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

For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at A. Assume a constant value of El = 107000 kip-ft² for the beam; wo = 5.0 kips/ft, LAB = 15 ft, LBc = 8 ft. Wo Xx C LAB LBC Answer: (a) 0g = (b) VA = rad in. B
Solve the slope and deflection for the problem using MAT. Draw the tangency 25 mm 75 mm 75 mm 15 kN Ti 25 mm 150 mm lines and label it completely including the required slope and deflection. E = 10GPA C and the cross section of the beam is B' shown in figure. 4 m 4 m Required Slope (radian) Required Deflection (mm) ĐA = AB = 0C = %3D Tangency Lines with EC M/EI Diagram
3. Determine the deflection at point C for the beam shown by the virtual work method. 3 kN/m A D C 5 m 10 m 5 m I 21 I E = constant = 250 GPa I = 600(106) mm4
Use AREA MOMENT METHOD to Determine the following: A central beam BD is joined at hinges to two cantilever beams AB and DE. All beams have the cross-section shown. For the loading shown, determine the largest w so that the deflection at C does not exceed 3mm. Use E=200 GPa. w 12 mm A C D E Hinge' Hinge 24 mm 0.4 m 0.4 m 0.4 m 0.4 m
Determine the deflection by double integration at the middle of the simply supported beam shown. 10 kip R₁ PIE 3 ft 3 ft 1.5 kip/ft 6 ft R₂
The simply supported beam is made of A-36 steel and is subjected to the loading shown in Figure Calculate the deflection at its center C using the virtual work method. Figure 60 kN 75 kN m A C 4 m 4 m B.
For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at C. Assume a constant value of El = 27 x 106 lb-ft² for the beam; w₁ = 6200 lb/ft, LAB = 7.0 ft, Lgc = 15 ft. Lcd = 8 ft. Wo X LBC LCD LAB Answer: (a) 0g = (b) vc= B rad in. D
Use CONJUGATE BEAM METHOD to Determine the following: A central beam BD is joined at hinges to two cantilever beams AB and DE. All beams have the cross-section shown. For the loading shown, determine the largest w so that the deflection at C does not exceed 3mm. Use E=200 GPa. w 12 mm |A C D E Hinge `Hinge 24 mm 0.4 m 0.4 m 0.4 m 0.4 m
Use the moment-area method to determine the lateral deflection at point D for the structure shown in Figure 1. 59 kN 100 kN 1m - 1m B D E = 200 GPa I = 1x10-4 m* 4 m A TTTT t
For the given beam the displacement at B is 1.51 in down. The rotation at B is 0.013 radians downward. What is the total displacement at C to the nearest 0.001 inches? Be sure to include a negative value if the deflection is down. 엊 A X L1 L1 = 8 ft L2 = 10 ft El = 364,000 k-in^2 D ↓ B L2
4/4 Determine the smallest moment of inertia I required for the beam shown so that its maximum deflection does not exceed the limit of 1/360 of the span length (L/360). Let E = 29000ksi. You can use any method you prefer. 3 k/ft 20 ft 559 in4 956 in4 995 in 659 in4
Use double integration method to determine the deflection at points B and D of the beam shown. 2 k/ft Hinge ↓↓ A -16 ft- -8f-+ I= 5,000 in.4 B -8 ft- I= 3,000 in.4 E = constant = 30,000 ksi 40 k