Problem 1 of elasticity of beam is 180GPA, and theshear at a point 1m from the rollersupport is equal to-237.06666666667KN.NOTE: WRONG SIGN IS WRONG.WRONG UNIT IS WRONG.wAB1mDetermine the deflection at point 2mfrom the hinge support. (Note: Put anegative sign if the deflection is goingdown)Determine the deflection at point 1mfrom the roller support. (Note: Put anegative sign if the deflection is goidown)w/ A 310mm diameter circular simplysupported beam carries a concentratedload, uniformly distributed load also atriangular load as shown in the figure.Using Area Moment Method, Solve thefollowing unknowns.Let w = 155KN/m, a = 2m, the modulusof elasticity of beam is 180GPA, and theshear at a point 1m from the rollersupport is equal to-237.06666666667KN.NOTE: WRONG SIGN IS WRONG.WRONG UNIT IS WRONG.w1mDetermine the deflection at point 2mfrom the hinge support. (Note: Put anegative sign if the deflection is goirdown)Determine the deflection at point 1m

Shear Force: Unaligned forces pressing one part of a body in one direction and another part of the…

Answered: of elasticity of beam is 180GPa, and…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A sandwich beam having steel faces enclosinga plastic core is subjected to a bending momentM = 5 kN . m. The thickness of each steel face ist = 3 mm with modulus of elasticity Es = 200 GPa.The height of the plastic core is hp =140 mm, andits modulus of elasticity is Ep = 800 MPa. The overalldimensions of the beam are h =146 mm andb =175 mm.Using the transformed-section method, determinethe maximum tensile and compressive stressesin the faces and the core.
Problem Solving. 1. The maximum bending moment for a 4 meters freely supported beam has been found to be 15 kN-m. If the allowable bending stress is 9 MPa, design the beam with respect to bending. Use E = 12,000 MPa a. a. Investigate if the computed dimensions will not exceed the allowable shearing stress of 0.90 MPa. b. Investigate if the computed dimensions will not exceed the allowable deflection of L/360. w (kN/m) 4m
A circular beam carries a concentrated and a distributed load as shown in the figure. Determine the following unknowns if the modulus of elasticity is 90GPa and the maximum shear is 444.9kN. Let, P=170kN, a=2.5m, b=1m and c=3m ; If the deflection at the free end (leftmost part of the beam) is equal to -14.183444485219mm, Determine the radius of the cross-section of the circular beam. Determine the slope at the free end of the beam
A rectangular beam carries a triangular load "w" as shown in the figure. Determine the following unknowns if the modulus of elasticity is 160GPa and the maximum deflection is -0.63254616477273mm. BEAM'S DIMENSION: Width = 110mm , Height = 480mm NOTE: L = 3m Solve the maximum moment of the beam. Answer for part 1 kN-m Determine the shear at midspan.
A beam 2.4 m long is simply supported at two points A and B which are 1.44 m apart; point A is 0.36 m from the left-hand end of the beam and point B is 0.6 m from the right-hand end; the value of EI for the beam is 240×10® Nmm². Find the slope at the supports due to a load of 2 kN applied at the mid-point of AB. Use the reciprocal theorem in conjunction with the above result to find the deflection at the mid-point of AB due to loads of 3 kN applied at each end of the beam. Ans. 0.011, 15.8 mm.
A 1-meter-long, simply supported copper beam (E = 117 GPa) carries uniformly distributed load q. The maximum deflection is measured as 2.5 mm. (Use available deflection formulas. All beams have constant flexural rigidity EI.) (a) Calculate the magnitude of the distributed load q (in kN/m) if the beam has a rectangular cross section (width b = 25 mm, height h = 50 mm). kN/m (b) If instead the beam has circular cross section and q = 500 N/m, calculate the radius r (in mm) of the cross section. Neglect the weight of the beam. mm
3. A steel beam is loaded as shown in the figure. Use conjugate beam method and determine the following: а. Slope at A b. Slope at B c. Displacement at the point of application of the 15kN load d. Displacement at C e. Location and maginitude of maximum deflection 15 kN 1.10 kN/m A 2 m 2 m 2 m
A simply supported beam is subject to a downwards uniform distributed load, w, as shown below. B A uniform distributed load, w L1 L2 The cross-section of the beam is constant with second moment of area I = 3750 mm², and Young's elastic modulus is E = 200 GPa. The distributed load has magnitude w = 220 N/m. If Point B is distance L₁ (Point C), calculate: the downwards vertical deflection at Point B: C C 435 mm from the left end (Point A) and distance L2 = 385 mm from the right end Round your answer to 3 significant figures. X [Units: mm]
e10
Prob 5. Calculate the maximum deflection dmax and the angle of deflection on the supports of a uniformly loaded simple beam loaded as shown. The maximum bending stress is o=60 MPa. The cross section of the beam is square with a length of 8 cm on each side. The beam is made of aluminum having modulus of elasticity E = 70 GPa. q = 2.0 kN/m L= 2.0 m
Consider the continuous beam as shown in figure below: RA 9,- 2 6 (m) R₂ What will be the magnitude of slope at B? H₂ 6 (m) Re
USING CONJUGATE BEAM METHOD Consider 150 mm x 200 mm (bxh) mm section and e = 80 GPa DETERMINE REACTION AT D Values: A = 9.4 M B = 5.5 kN/m C = 20 kN

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