A simply supported beam is supported at both ends. El is constantthroughout the beam, E = 200 GPa, I = 60x(10^6) mm^4. It has a spanof 12 m and subjected to a concentrated load of 8 kN at a distance3 m from the right support. Which of the following gives?%3D8. Angle of Rotation at A.a. 0.48750 radb. 0.01125 radc. O radd. 0.00375 rad9. Location of the Max Deflectiona. 6 mb. 1.73 mC. 6.71 md. 1 m10.Maximum Deflection of the Beam.a. 41.25 mmb. 16.8 mmc. 1.81 mmd. 1.81 m

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Answered: A simply supported beam is supported at…

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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The steel beam is fixed at A and supported by a roller at B. El is constant all throughout the beam. A. Determine the value of Modulus of Flexural Rigidity in kN- m^2 B. Draw the Shear and Moment Diagram of the given beam: 100mm - 王 10 mm 7.5 mm 100mm 10 mm 7 kN/m 14 kN A 3.5m BO 1.5m C
The cantilever beam shown is subjected to a concentrated load of P. The cross-sectional dimensions of the wide-flange shape are also shown, where bf = 7.00 in., d = 12.5 in., tf = 0.475 in., tw = 0.250 in.(a) Compute the value of Q that is associated with point K, which is located yk = 3.0 in. above the centroid of the wide-flange shape.(b) If the allowable shear stress for the wide-flange shape is τallow= 12 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam. Calculate the cross-sectional area of the top flange (1), the bottom flange (2), and the web (3).Answers:A1 = in.2.,A2 = in.2.,A3 = in.2. Part 2 Determine the location of the y direction centroids of the top flange (1), the bottom flange (2), and the web (3), with respect to the bottom of the cross-section.Answers:y1 = in.,y2 = in.,y3 = in. Part 3 Determine the centroid location in the y direction for the cross-section…
The internal shear force V at a certain section of a steel beam is 79 kips. If the beam has the cross section shown (assume a = 2.1 in., b₁ = 3.5 in., b₂ = 7.6 in., tw = tf = 0.6 in., d = 11.6 in.), determine: (a) the value of Q associated with point H, which is located 2.1 in. below the top surface of the flanged shape. (b) the maximum horizontal shear stress Tmax in the flanged shape. a H d
50 kN 100 kN 50 kN E D F 1 m A B -2 at 2m 4m- EA = constant E = 120 GPa In addition to the loads of the truss shown in the figure, the truss has concentrated load of 57 kN (to the left), at joint D. Determine the total deflection at joint D in mm. Assume that the cross sectional area is 1500 mm2.
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Problem I. The beam has a loose fit built-in support at B which allows the end of the beam to rotate through the angle e, = 0.75° when the load is applied, as shown in the detail. E = 72 GPa and |= 120 x 10°mm*. Determine the following: a. Reaction at A (kN) | 200 kN -2 m 2 m b. Moment at B (kN m) c. Slope at A in radians В d. Displacement at the application of 200kN load Detail
The cantilever beam shown is subjected to a concentrated load of P. The cross-sectional dimensions of the wide-flange shape are also shown, where b = 6.50 in., h = 15.0 in., ty = 0.550 in., t₂ = 0.325 in. (a) Compute the value of Q that is associated with point K, which is located d = 4.0 in. above the centroid of the wide-flange shape. (b) If the allowable shear stress for the wide-flange shape is Tallow = 13 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam. b 4 Answer: Omay= the tolerance is +/-3% in.3. 9 Answer: Pmax=1 (1) (2) kips. (3) The maximum value of Q for the cross-section is at the z centroidal axis. Break the calculation into two parts. First, consider only the portion of the web between the z centroidal axis and the bottom of the top flange, and calculate Q₁ for this portion of the cross-section. Then, consider only the top flange, and calculate Q₂ for this portion of the cross-section. The value of Qmax is then the sum of Q₁ and…
Example:Determine the force Pneeded to lift the load. Also, determine the proper placement x of the hook for equilibrium. Neglect the weight of the beam. 0.9 m 100 mm 100 mm 100 mm P. B 6 KN
PP A BỊ In the plane truss system, whose loading condition is shown in the figure, there will be support reactions A and B, and rod forces 1,2 and 3. 6 - A is the fixed joint and B is the sliding joint. Loads on the beam P = 50 kN, All acute angles in the truss system are 45 degrees. Асcordingly Bу 3D? O a) 0 O B) 175 O C) 225 OD) 35.36 O TO) 200
The left half of the simply supported beam carries a uniformly distributed load of internsity 600N/m. A.Compute the value of ??? at midspan. B.If E= 10GPa, determine the smallest value of I that limits the midspan displacement to 1/360th of the span.

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