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 EI = 137000 kip·ft2 for the beam; w0 = 4.2 kips/ft, LAB = 14 ft, LBC = 7 ft.

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 EI = 137000 kip·ft2 for the beam; w0 = 4.2 kips/ft, LAB = 14 ft, LBC = 7 ft.

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: or the beam loaded as shown in the figure below, determine the following unknown using any geomet…

A: E=120GPa To find deflection at point C

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

A: Slope: The angle which is formed between the deflected beam and the actual beam at the same point…

Q: Q 2. Calculate the slope and deflection at the free end of the cantilever beam shown in figure using…

A: Given, E = 2.05×10⁵N/mm² I = 56×10⁸/100 mm⁴ = 56×10⁶ mm⁴ EI = 1.148×10¹³ Nmm² = 11480 KN m²

Q: -span eam loaded as in figure below. as E 10 GPa andI = 4.5 x 10 mm*. 300 N/m

A: Solution:

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

Q: The cantilever beam loaded as shown has the following properties: El = constant. Using Double…

A: Using double integration method

Q: 10 kN/m Beam flexural rigidity Column lexural rigidity Assume A will ocur 2EI C4 D4 10 kN/m B3 20…

A: Beam deflection is the distance between the beam's position before and after loading, measured at…

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

A: Given data:- EI=128000 Kip-ft2w0=8.0 kip/ftLAB=9 ftLBC=5 ft

Q: 3) An overhanging beam is loaded as shown in the figure. Using EI = 20.48x106 N-m², determine the…

A: Given data:

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

A: Macaulay's Method : We are using this method as the loading is not same through out the span…

Q: Calculate the slope and deflection at the free end of the cantilever beam shown figure using Method…

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

A: Given data: w0=7400 lb/ft LAB=6.5 ft LBC=14 ft LCD=8 ft EI=39*10^6 lb-ft2 It is asked to…

Q: 400 lb/ft B 3

A: Given data Moment equations UVL Span length

Q: Using Double Integration Method, determine the equation of the elastic curve of the beam below and…

Q: 3) An overhanging beam is loaded as shown in the figure. Using EI = 20.48x106 N-m², determine the…

A: Given data EI = 20.48 × 106 Nm2

Q: 5 kN 10 kN/m 5 kN/m 80 mm 3 m 120 2 m mm Figure Q5 5. A cantilever beam is loaded such as shown in…

A: A structure is a body or a set of interconnected elements that supports a load. An engineer must…

Q: Calculate the slope and deflection at the free end of the cantilever Beam showh figure using Method…

A: super position method- this method is useful when more than one type of loading of beam . its not…

Q: igure 1 180 kN 270 kN B 3 m 3 m 3 m 21 alculate the following: a. Maximum deflection b. Slope at…

Q: The quadrantal ring, as shown in the figure below, is of radius 2 m. It supports a concentrated load…

A: Consider the given figure. Since no horizontal load at A is acting so introduce a dummy load F.…

Q: For the beam loaded as shown in the figure below, determine the following unknown using any…

Q: 3) An overhanging beam is loaded as shown in the figure. Using EI = 20.48x106 N-m², determine the…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Given data: w = 14 kN/m, L = 4.5 m, E = 215 GPa, and I = 125 x 106 mm4 It is asked to determine…

Q: use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the…

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

Q: 3) An overhanging beam is loaded as shown in the figure. Using EI = 20.48x106 N-m², determine the…

A: Take moment about D support ∑MD = 0Ra4 +100-12100×22+ 200×3 = 0…

Q: At 日 a1/3 L/3 エ 2エ

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a…

Q: For the beam loaded as shown in the figure below, determine the following unknowns using any…

A: To find deflection at point C

Q: E = 29,000 ksi I= 20 in 150 Ib 240 lb 0.3 k/ft B A 10 ft 8 ft 10 ft

A: Given data: E=29000 ksiI=20 in4EI=29000×20=580000 K.in2EI=4027.78 k.ft2

Q: Two hard rubber blocks [G = 320 kPa] are used in an anti-vibration mount to support a small machine…

Q: Q1/For a simple beam loaded as shown in Figure 1. Determine the slope and deflection at the position…

A: E = 2 × 105 N/mm2 I = 5 × 108 mm4 Determine the slope and deflection at midway of the beam. Let's…

Q: 2. A simply supported beam is loaded as shown in the figure. Using Castigliano's Theorem determine…

Q: For the beam loaded as shown in the figure below, determine the following unknown using any…

Q: A beam is loaded as show in the figure. Using Virtual Work Method determine the following: a.…

A: Given: A beam with loadings Required: Deflection at C Slope at E Using virtual work method

Q: 3) An overhanging beam is loaded as shown in the figure. Using EI = 20.48x106 N-m², determine the…

A: Given data EI = 20.48 × 106 Nm2

Q: B 127 127

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Given data: w=7kn/m L=3 m E=215 GPa I=120*10^6 mm^4 It is asked to determine, 1. The equation of…

Q: Analyze the given prismatic beam using the Unit Load method. Also, calculate the .midspan…

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: A simply supported beam (E - 12 GPa) carries a uniformly distributed load a- 100 N/m, and a point…

Q: 1. A beam is loaded as show in the figure. Using Moment-Area Method determine the following: a.…

A: EI = 10 x 103 x 30 x 106 = 3 x 1011 Nmm2

Q: 3) An overhanging beam is loaded as shown in the figure. Using EI = 20.48x106 N-m², determine the…

Q: Problem 5: The beam is loaded as shown. Determine the slope and deflection at the free end. Assume…

A: Note: As per the policy, only first of the two questions will be answered. You are requested to post…

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

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 = 137000 kip-ft² for the beam; wo = 4.2 kips/ft,
LAB = 14 ft, LBC = 7 ft.
WO
X
B
A
LAB
LBC
Answer:
(a) OB =
(b) VA =
Attempts: 0 of 3 used Submit Answer
Save for Later
rad
in.

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

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, determine the deflection at the mid point in slope at point B in radian. The wr? %3D (L- x) wr3 equation of elastic curve are the following: EIy (3L – 4x), Ely 24 24 E = 200 GPa, I = 1660 x 10^6 mm^4 Let w = 158kN/m, L = 13m Answer in three decimal places w A В -L/2
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 EI = 34 x 106 lb·ft2 for the beam; w0 = 7900 lb/ft, LAB = 3.5 ft, LBC = 7 ft, LCD = 4 ft.
Using double integration method, solve the following for the overhanging beam shown. Use I = 60 in.* and E = 1.5 x 10 psi. 1000 lb 400 Ib/ft B D. - 6 ft 4 ft 3 ft 1. Derive the equation of the elastic curve Segment AB Slope Equation Deflection Equation Segment BC Slope Equation Deflection Equation Segment CD Slope Equation Deflection Equation 2. Compute the value of & at the right end. Maximum Deflection Location Magnitude 3. Compute the value of & at the right end. Deflection at the Right End Magnitude 4. Calculate the value of & midway between the supports. Deflection Midway Between Supports Magnitude 5. Draw the Elastic Curve 1000 lb 400 lb/ft E6 ft- + 4 ft 3 ft
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 EI = 145000 kip·ft2 for the beam; w0 = 4.0 kips/ft, LAB = 7 ft, LBC = 3 ft.
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, and (b) the deflection at B. Assume that El is constant for the beam. Let w = 13 kN/m, L= 5.0 m, E = 210 GPa, and 1= 125 x 10 mm Answer: (b) VB= ·L/2 B mm -L/2 X
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 EI = 126000 kip·ft2 for the beam; w0 = 3.2 kips/ft, LAB = 14 ft, LBC = 7 ft.
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 EI = 106000 kip·ft2 for the beam; w0 = 3.8 kips/ft, LAB = 6 ft, LBC = 3 ft.
Explain the step by step solution
Moment-Area Method A simply supported beam is loaded with a concentrated load and a uniformly distributed load as shown in the figure. Assume EI = 60 x 10⁶ lb-in². a) Find the tangential deviation of B sith respect to A in inches. b) Find the deflection of the beam at B in inches. c) Find the tangential deviation of C with respect to A in inches d) Find the deflection of the beam at C in inches
3) An overhanging beam is loaded as shown in the figure. Using EI = 20.48x106 N-m², determine the deflection at the overhanging end. Use Bracket Function. A 1m 100 N-m B 1m C 100 N/m 2m Ꭰ 3m 200 N E
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 EI = 145000 kip·ft2 for the beam; w0 = 4.0 kips/ft, LAB = 7 ft, LBC = 3 ft.
(i) A simply supported beam of I-section as shown below shows central deflection of 12 mm when subjected to a uniformly distributed load of 50 kN/m length. Determine the safe load if the beam is used as a column with both ends fixed. Use Euler's formula with a factor of safety 5. E = 205 GPa. 880 mm Ty 240 mm 40 mm 20 mm ➜ 40 mm