A steel beam of rectangular section has a span of 8m and is simply supported at its ends. It is required to carry a total of 60kN uniformly distributed over the whole span. Find the minimum values of breadth and depth if the maximum bending stress is not exceed 50MPa and the maximum deflection is limited to 10 mm. Take E=210 GPa

Q: Compute the value of EIy at 2.5 m from the left support.

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Q: Q2. Determine the magnitude of F so that the resultant couple moment acting on the beam is 1.5 kN.m…

A: Given that: Resultant couple acting on beam = 1.5 kNm clockwise.

Q: The 5-m cantilever beam supports a load P = 400kN at 1.25 m from its free left end. Assume El =…

A: Determine the vertical deflection [in mm] under the load.

Q: For the building frame shown, use the cantilever method to determine the shear force acting on…

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Q: From the beam shown with fixed end support at A and rollers at B and C respectively, it carries a…

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Q: The beam shown carries a uniformly distributed load of 2 kN/m along span BC. The beam is supported…

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Q: Solve for the Maximum Deflection (Propped Cantilever Beam with Point Load and UDL)

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Q: Draw the shear and moments diagrams of the beam shown below using slope-deflection method. 100 kN…

A: Draw the shear and moments diagrams of the beam shown below using slope-deflection method.

Q: What is the moment MBC and MABin KN-m? 2 decimal places

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Q: 5.18 (B). A uniform horizontal beam ABC is 0.75 m long and is simply supported at A and B, 0.5 m…

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Q: A simply-supported beam, 9 m in length, is subjected to a uniform load of 20 kN/m applied at the…

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Q: 3- The cantilever beam shown below carries a distributed load of maximum intensity w= 20 kN/m,…

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Q: A 6-m simple beam is carrying a uniform load of 25 kN/m over the entire beam with two-point loads 15…

A: The moment-area method is the most suitable method for determining the bending and displacement in…

Q: 11.2 (A) (a) Derive the formula for strain energy resulting from bending of a beam (neglecting…

A: a) Consider the following free body diagram:

Q: For the simply supported beam with shown loading, determine the deflection at midspan. (El = 750…

A: Given a simply supported beam carrying UDL and  EI=750 kips.ft2 To Find-it is required to determine…

Q: n Q kN/m

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Q: 1 kN (2) L/2 L/2 (3) M, = 1 kN-m L/2 L/2 |1 kN (4) L/2 L/2

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Q: a b A В A simply supported beam carries a concentrated load of 22 kN at 5 meters from the left…

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Q: A wide flange beam with dimension of: bf = 400 d = 500 tw = 12 tf = 18mm Find the max horizontal…

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Q: For the simply supported beam ABCD, determine the vertical deflection at (a) point B; and (b) point…

A: Given, Simply supported beam

Q: 5 A single axial load of magnitude P = 15 kips is applied at end C of the steel rod ABC. Knowing…

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Q: A beam fixed at both ends, as shown in the Fig, has a F=20 kN concentrated load applied at the…

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Q: 01) For the beam and loading shown, 4KN/n Determine: (a) the equation of the elastic curve (b) the…

A: Given Structure: EI=860 KN-m2

Q: A simply supported beam is subjected to a triangularly distributed load of Q-2.3 kN/m over segment…

A: Given Data:Q=2.3 kN/mLength L=1.8mTo determine the maximum slope and defletion of the beam

Q: A restrained beam is subjected to a loading distribution shown below. Determine: a. the location of…

A: Given: w=w0cosπx2L The loading can be calcualted as, EId4ydx4=wocosπx2L The shear force can be…

Q: a 4.5m simple beam, AB carries a 36kN downward concentrated load at midspan at point C. the left end…

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Q: w kN/m A L/3 ↓ L/3 ↓ L/3 A 9m long simply supported beam shown above, is subjected to a 4 kN/m…

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Q: The simply supported beam consists of a W460 x 82 structural steel wide-flange shape [E = 200 GPa;…

A: Given- a simply supported beam carrying UDL and point load Required-To determine deflection at C.…

Q: 24 48" Derive the necessary deflection formula using the integration method for the beam and for the…

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Q: A steel beam below (E 29,000 ksi; I= 843 in. ) is has both a uniformly distributed load and a…

A: (a)  total deflection at Btotal deflection at A will be Zero because Beam is supported at B

Q: 2 kN 45° Find the vertical deflection at point C for the frame shown below using the unit load…

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Q: MA RA 3m 100 kN/m B 200KN.m 2m X с

A: Given : Cantilever beam with UDL and UVL acting on it. We will apply macaulay method to solve it.

Q: For the beam and loading shown, determine (a) the deflection at C, VC- PL EI (b) the slope at end 4.…

A: Given :

Q: (2) The built-up beam shown is made from a 20-mm-thick plate and two angle sections having…

A: Solution Given that Internal moment M=120 kN-m

Q: A 6-m simple beam is carrying a uniform load of 25 kN/m over the entire beam with two-point loads of…

A: In the double integration method, the Moment equation of the beam is written and differentiated once…

Q: The beam AD is loaded as shown. The coefficients of static friction at the wedge's top and bottom…

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Q: Q1) The beam loaded as shown iS rectangular with 20mm wide and 120mm deep. Compute the normal and…

A: Rectangular beam dimensions: b=20 mm, d=120 mm. The angle of inclination=30o The load on the beam=50…

Q: use EI constant for whole span).  A simply supported beam (8 meter span), with a uniformly…

A: Introduction- The focus of this chapter is on simple supported beams. When there is no tendency for…

Q: A 6-m simple beam is carrying a uniform load of 25 kN/m over the entire beam with two-point loads of…

A: A simply supported beam is simply supported by the supports and is stable in nature. The only way in…

Q: The vertical bar is cantilevered at the floor as shown. (a) Defermine the resultant of the…

A: Convert the trapezoidal load into the uniformly distributed load (UDL) and uniformly varying load…

Q: 4. Determine the deflection at A and C and the slope at B of the beam loaded as shown. Let go = 25…

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Q: Consider a 135-mm-long segment of a simply supported bear. The internal bending moments on the left…

A: Given Data:Internal B.M=75kNm and 83 kNmAssume:b1=120mmb2=45mmb3=210mmd1=75mmd2=175mmd3=75mmTo…

Q: A simply supported beam is subjected to a triangularly distributed load of Q = 9.3 kN/m over segment…

A: Given data:- Q=9.3kN/mL=1.1 m

Q: For the beam loaded shown below, evaluate the following: Moment Diagram of the Beam Using Conjugate…

A: Given data:

Q: Rigid frame loaded with a uniformly varying load on member BC and a horizontal concentrated load of…

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Q: 18000 N 1.2m 12000 N/m 0.75m -1.2m

A: Solution:

Q: Q1. Analyze two span continuous beam by slope deflection method and draw Bending moment & Shear…

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Q: For the simply supported beam with shown loading, determine the deflection at midspan. (El = 750…

A: Given data  EI = 750 Kips-ft2  Find deflection at midspan.

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.