Answered: For the simply supported steel beam…

For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends if the beam is fabricated from an American Standard S254 x 38 section. 9

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.3.2P: A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross...

See similar textbooks

Related questions

Q: Using either Virtual Method or Castigliano Theorem, compute the slope and deflection at point B of…

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

Q: Consider the beam shown in (Figure 1) E = 29(10³) ksi and I=214 in Figure 6 ft 16 kip -6 ft- 2…

Q: For the steel cantilevered beam shown, determine the minimum moment of inertia of the structural tee…

A: L=19. 1 ft, L2=6 ft, F=1215 lb, q=1 kip/ft. The deflection at the free end is y=-1.2 in

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

A: Given: Here are the given data, EI=346000 kip-ft2w0=6.5 kipsftL=28.6 ft To find: The slope θA of…

Q: 15 kip*ft 12 in 10 in 6 ft

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

A: The values are Ma=9 kNm, wo=19.8 kN/m, Lab=1.1 m , Lbc=2.7 m, EI=1270 kNm2.

Q: 2. y W A 6 ft 18 ft B H W14 x 30 For the beam and loading shown, determine the deflection and slope…

Q: For the beam shown; 1. Determine the equations of slope and deflection. 2. Determine the slope and…

Q: Using the method of superposition, determine the deflection at the free end of the beam for the…

A: The values are

Q: A simply supported beam of dimension 12 m x 45 mm x 65 mm. It carries a uniformly distributed load…

A: The case is of a simply supported beam with UDL for a simply supported beam the maximum bending…

Q: A Cantilever beam of dimension 12 m x 40 mm x 60 mm. It carries a uniformly distributed load of 550…

A: Now write the expression for bending stress as follows.

Q: 15 kN 10 kN 12 kN/m 8 kN/m A C. D 3 m 2 m 3 m El is constant

A: configuration diagram:

Q: For the beam and loading shown, calculate the value of the slope and deflection of the NA at…

A: The values are wo=5.2 kips/ftMo=2185.3 kip.ftL=20.5 ftE=29*106 psi The beam is W21×101

Q: PLEASE SHOW THE FBD/s 7. Write the moment equation for the entire beam. Place your answer in a box.…

A: The free body diagram of the given beam is here, RAH and RAV are the horizontal and vertical…

Q: For the beam shown, determine the following: 2. Slope and deflection at the free end. 50 kN 20 kN/m…

A: Let EI = flexural rigidity of the material used.

Q: & Determine the maximum live load that the beam can carry safely using ASD and LRFD. Compare results…

Q: For the steel cantilevered beam shown, determine the minimum moment of inertia of the structural tee…

A: L=19.6 ft, L2=6.6 ft, F=1200 lb, q=1.05 kip/ft. The deflection at the free end is y=-1.2 in

Q: 4. For the beam shown below, determine the slope and deflection at points "B" and "C". Assume E =…

A: The modulus of elasticity is .The moment of inertia is .

Q: Select a W- shape beam limited to a maximum depth of 23.50 in for a span of 40 ft. A 50 ksi steel is…

A: Select ASTM992 W12Shape Fy=50 ksi,WD=0.45 k/ft,WL=0.75 k/ft, Wu=1.2+0.45+1.60×.75Wu=1.74 k/ft

Q: consider the beam shown in. EI is constant. assume that EI is in kip * ft2. specify the deflection…

A: Show the free body diagram of the beam as in Figure 1.

Q: As indicated below, determine the value of deflection at the right end of the beam. 400 m 400N .Am.…

Q: Refer to the previous problem. Calculate the resulting maximum positive moment (kN-m). O 77.4 O 96.8…

Q: Use double integration method to determine the equations of the elastic curve for the beam shown…

A: Given data is

Q: Determine the maximum deflection of the beam and the slope at A. Use Macaulay's brackets in your…

A: To Find : The maximum deflection and slope of beam by using Macauay's, Free Body diagram : The F.B.D…

Q: Identify the correct boundary conditions from the following list for the beam shown. The origin is…

Q: Calculate the deflection at the centerline of the beam shown immediately after the cables are cut.…

A: A moment of inertia is a mass of the body when a body is rotating on an axis. The moment of inertia…

Q: he right of the beam. For the cast iron beam what is the maximum deflection in the beam? Note:…

Q: Problem 2 Moment-Area Method: For the given beam below, answer the questions. El = constant: 5 kN 8…

A: Draw the free body diagram of the beam.

Q: Using Castigliano's method, determine the deflection and slope at point A for the beam shown below.…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends if the
beam is fabricated from an American Standard S254 x 38 section.
Given:
q= 5.8 kN/m
• L = 8 m
Ymid=
Yleft-end
Yright en
0
0
3
L
mm
? X0%
?X0%
x 0%
9
II]

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

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Using the method of superposition, determine the deflection at the free end of the beam for the cantilevered beam shown below. The beam is fabricated out of steel with a S20 x 66 American Standard section. q Given: • L = 16 ft • M = 38 kip. ft • q = 5 kip/ft Yright = Yright -¹/2 number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) - L in M
For the beam and loading shown, use discontinuity functions to compute: (a) the deflection VA of the beam at A, and (b) the deflection Vmidspan of the beam at midspan (i.e., x = 2.45 m). Assume a constant value of El = 1270 kN-m² for the beam; M₁ = 9 kN-m, wo = 19.8 kN/m, LAB = 1.1 m, LBc = 2.7 m. MA A Answer: (a) VA = (b) Vmid i LAB i Wo B LBC mm. mm.
2
For the steel cantilevered beam shown, determine the minimum moment of inertia of the structural tee section, Imin if the deflection at the free end is limited to 1.2 in. -L2 Given: .L=19.6 ft • L₂ = 6.6 ft F = 1200 lb • q = 1.05 kip/ft Imin=-512.6 79 - ¹/2 |F L +4₂+ L2 H q a
For the steel cantilevered beam shown, determine the minimum moment of inertia of the structural tee section, Imin if the deflection at the free end is limited to 1.2 in. +4₂ Given: • L=19.1 ft L₂ = 6 ft F=1215 lb • q = 1 kip/ft • 1620.86 q -¹/2 L Save & Grade 4 attempts left Save only IF L in4 H L₂ III ? X0% V 779 Additional attempts available with new variants
A simply supported beam of dimension 12 m x 45 mm x 65 mm. It carries a uniformly distributed load of 450 kN/m for entire span. Determine (a) Maximum stress due to bending and (b) Young's modulus of the material used for the beam, if it deflects 150 mm maximum at the mid of the span. Also find the maximum slope in the beam. (Enter only the values by referring the units given, Also upload your hand written answers in the link provided) Moment of inertia of the cross section of the beam in m4 : Young's modulus of the beam material in MPa is = Maximum bending stress due to bending in MPa is = The slope at the supports of beam in radians is
5. For the beam shown in the figure, determine the slope at A and B and the value of the maximum deflection. 150 lb 240 lb 0.3 k/ft -10 ft -8 ft- - 10 ft- E = 29,000 ksi | = 20 in
mention every single step of solution .....thanks
The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E = 29,000 ksi; I= 340 in."1. For the loading shown, use discontinuity functions to compute (a) the slope of the beam at E and (b) the deflection of the beam at C. Assume wo = 10 kips/ft, wCD = 7.0 kips/ft, LAB = 7.0 ft, LBc = 7.0 ft, LCD=9.5 ft, LoDE = 4 ft. Wo WCD C E LAB LBC LCD LDE Answer: (a) 0g = rad (b) vc = in.
The cantilever beam shown is subjected to a concentrated load of P=70800 lb. The cross-sectional dimensions and the moment of inertia of the W16x57 wide-flange shape are: d = 16.4 in. tw=0.430 in. by=7.12 in. ty=0.715 in. 1₂-758 in.4 Compute the value of the shear stress at point H, located at y = 4.8 in. below the centroidal xis. H Answer: Shear stress = psi
Use the conjugate beam method to determine the magnitude of the deflection at C (in feet). Assume A is a pin and B is a roller. El = 78,750 k-in² and is constant. P=20 kips, w = 1.8 kips/ft. A -5 ft- P |D 5 ft B -5 ft ic 643
Problem 2 Moment-Area Method: For the given beam below, answer the questions. El = constant: 5 kN 8 kN-m A В 6 m 6 m 6 m (b) (c) | Draw the Curvature Diagram of the beam. Mark all important values. Determine the slope at point A, 64, using the moment-area method. | Determine the deflection at point B, Ag, using the moment-area method.