Situation 3 Using double integration method, determine the slope and deflection at midspan of the simply supported beam shown. Use L = 5 m, a = 3m, E = 180 GPa, and I = 120x106 mm² P = 21 kN a EI P L-a

Situation 3 Using double integration method, determine the slope and deflection at midspan of the simply supported beam shown. Use L = 5 m, a = 3m, E = 180 GPa, and I = 120x106 mm² P = 21 kN a EI P L-a

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: 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: 6. Compute the slope and deflection at 4 m from the left support on the non-prismatic beam loaded…

A: Double Integration Method Step:1 Support Reactions

Q: For the cantilever steel beam [E = 180 GPa; | = 84 × 106 mm4], use the double-integration method to…

A: To find deflection at point A

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

Q: Question 3. Please find the deflection at the center of the beam by method of superposition. Use the…

Q: For the cantilever steel beam [E = 200 GPa; l = 129 × 106 mm²] shown in Figure, use the double-…

Q: 12KN IM Am Am

Q: 2. A simply supported beam carries a uniformly distributed load as shown below, determine the…

Q: For the cantilever steel beam [E = 220 GPa; I = 126 × 106 mm4], use the double-integration method to…

Q: 1. By using Conjugate Beam Method, Determine the deflection at the midspan of the beamshown. 30 kN/m…

A: Given, EI = Constant E=200 GPa I=1460 X106 mm4 Here, I am attaching the suitable…

Q: 2. Determine the deflection at point C of the beam shown in the figure (a) by double integration…

Q: For the cantilever steel beam [E = 200 GPa; /= 135 × 106 mm4], use the double-integration method to…

Q: In the beam loaded as shown below, determine the deflection under point B. Determine also the…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: or the cantilever steel beam [E = 200 GPa; 1= 124 x 10⁰ mm"], use the double-integration method to…

Q: * Your answer is incorrect. For the cantilever steel beam [E = 230 GPa; I = 87x 10 mm*1, use the…

Q: M M 3.

Q: a = 2.5 m, b = 27.3 kN/m, c = 23 kN. "a" m b kN/m BI 4 m kN 3m determine the deflection at B in mm…

A: Given b x h =150mm x 200mm I=b×h312=150×200312=108mm4E=80Gpa=80×103MpaEI=8×1012Nmm2 To Find…

Q: Using any of the three Geometric Methods, answer the following beam. Indicate the negative sign (-)…

A: Let's use double integration method ( type of geometric method) to solve this problem

Q: Answer: VA W L mm. B

Q: A circular beam carries a concentrated and a distributed load as shown in the figure. Determine the…

A: The serviceability requirements limit the maximum deflection that is allowed in a structural element…

Q: 4. Compute the slope and deflection at 3 m from the left support on the beam loaded and supported as…

A: Given: E = 200 GPa = 2 x 108 = kN/m2 I = 75 x 106 mm4 =75 x 10-6 m4 To find: The slope and…

Q: For the cantilever steel beam [E - 210 GPa; /- 145 x 106 mm), use the double-integration method to…

Q: Using Double Interation Method, determine the deflection at the free-end of the loaded cantilever…

A: first draw the diagram then take moment about a point at distance x from free end

Q: deflection at point B.

Q: For the cantilever steel beam [E = 210 GPa; I = 145 x 106 mm4), use the double-integration method to…

Q: For the cantilever steel beam [E = 220 GPa; / = 142 × 106 mm4], use the double-integration method to…

Q: For the cantilever steel beam [E = 210 GPa; I=90 × 106 mm4], use the double-integration method to…

Q: From the given figure; E = 200 Gpa, I = 60x10^6 mm^4 a. Determine the deflection at point D in mm.…

Q: Remove the concentrated load Skips then compute the maximum slope and maximum deflection of the…

A: Given:- E=29000 ksi=4176000 kips/ft2I=76.8 in4=0.0037 ft2 To find:- Maximum slope and maximum…

Q: A simply supported beam with P1=52kN, P2=60 kN and w=20kN/m has the loadings shown. If the value of…

A: Answer We can calculate the deflection at point C using the Double integration method EId2ydx2=M M…

Q: 5. Compute the slope and deflection at 2 m from the left support on the beam loaded and supported as…

Q: 71 1m 2m 1m

Q: W B X

Q: -4m El = constant %3D ising E = 70 GPa | = 160 x 106 mm 4 e Integration Metho

Q: Using the conjugate beam

Q: x. BO L W [ ↑ ↑ VIT

A: given- a cantilever beam, carrying UDL and point load required- to determine vertical deflection at…

Q: Part 2: for the frame shown below, P=20 kN and a=2 m, Assume I=20000 in and E=30,000 ksi for all…

A: Given:P = 20 kNa = 2mI = 20000 in4E = 30000 ksiRequired:Vertical deflection of E

Q: 1. Determine the maximum deflection of the beam by; 11 Direction Integration Method 2 Moment-Area…

A: As per the policy, the given question will be solved by the first method. Please post the other…

Q: For the cantilever steel beam [E = 210 GPa; /= 124 × 106 mm4], use the double-integration method to…

Q: for the simply supported beam as shown below, assume El is constant and L is equal to 653. Using the…

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

Situation 3 Using double integration method, determine the slope and
deflection at midspan of the simply supported beam shown. Use L = 5 m,
a = 3m, E = 180 GPa, and I = 120x10 mm4
P = 21 kN
a
EI
P
L-a

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: State the given data

VIEW

Step 2: Determine the support reaction

VIEW

Step 3: Using Double Integration Method

VIEW

Step 4: Apply boundary condition

VIEW

Step 5: Determine the slope at the midspan

VIEW

Step 6: Determine the deflection at the midspan

VIEW

Solution

VIEW

Step by step

Solved in 7 steps with 6 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 simply supported steel beam [E = 200 GPa; I = 129 × ] shown in figure, use the double-integration method to determine the deflection at B. Assume L = 4 m, P = 60 kN, and w = 40 kN/m.
An 8m simply supported beam supports a uniformly varying load from 0 kN/m at point C to 20 KN/m at point B as shown. Find the slope at the right support and the deflection at the midspan of the beam. Use E = 200,000 MPa and 19 x 107 mm. Double integration. (Boundary method)
Determine the maximum deflection using conjugate beam method of the shown beam.
Using conjugate beam method. If E = 200000MPa, I = 20x10^6mm^4, Compute the slope at right support and Compute the Deflection at D.
A simply supported beam with P1=76kN, P2=50 kN and w=31kN/m has the loadings shown. If the value of x is 3.7m, calculate the deflection at B in terms of EI Answer: -6,406.2523 Need solution
Use double integration method
1. The beam with, cross-section shown, is subjected to the load shown. Using E=200 GPa, determine the defection at D and the maximum deflection by double integration method. 80 mm 25 mm 4 kN/m 16 kN 25 mm B D 140 mm 6m 4m 2m 25 mm 120 mm
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 EI is constant for the beam. Let w = 13 kN/m, L = 4.0 m, E = 205 GPa, and I = 105 x 106 mm4
Situation 2 Using double integration method, determine the slope and deflection at the free end of the cantilever beam shown. Use L = 12 m, E 200 GPa, and I = 240x10 mm². a = 4 m qo= 10.5 kN/m saira EI a L-a
For the cantilever steel beam [E = 190 GPa; I = 128 x 106 mm4), use the double-integration method to determine the deflection va at A. Assume L = 1.6 m, P = 45 kN, and w = 32 kN/m. В Answer: VA = mm.