The rectangular cross section beam is loaded as shown. If the allowable bending stress is 145 MPa and the allowable shear stress is 69 MPa and the beam cross section has a width of 75 mm, (AB-90 cm, BC-270 cm, CD-90 cm). Neglect the weight of the beam. 3500 N 2900 N/m 2-a) Show V-M diagrams with values. Type "ok" if you will upload the image in "Final Upload" PART B OF "The rectangular cross section beam" 2-b) The required height of the beam cross section is mm. Neglect the weight of the beam. PART C OF "The rectangular cross section beam" 2-c) Check if the calculated above dimension is good also for shean MPa, therefore above dimension is (suitable/not suitable) Shear stress is

The rectangular cross section beam is loaded as shown. If the allowable bending stress is 145 MPa and the allowable shear stress is 69 MPa and the beam cross section has a width of 75 mm, (AB-90 cm, BC-270 cm, CD-90 cm). Neglect the weight of the beam. 3500 N 2900 N/m 2-a) Show V-M diagrams with values. Type "ok" if you will upload the image in "Final Upload" PART B OF "The rectangular cross section beam" 2-b) The required height of the beam cross section is mm. Neglect the weight of the beam. PART C OF "The rectangular cross section beam" 2-c) Check if the calculated above dimension is good also for shean MPa, therefore above dimension is (suitable/not suitable) Shear stress is

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 simply supported beam is loaded as shown. Use E = 200,000MPa and I=150 x 106 mm4. a)Compute for the value of C1 in the equation of the slope for the first segment. b)Compute for the deflection at C. c)Compute for the value of C3 (constant of the 1st integration) in the equation of the slope for the 2nd segment. d)Compute for the value of C4 (constant of the 2nd integration) in the equation of the deflection for the 2nd segment. e)Compute for the slope at support A & B.
For the beam shown, calculate the beam deflection at A. Assume that a = 4.2 ft, b = 6.3 ft, c = 8.4 ft, w = 1500 lb/ft, P = 2600 lb, and EI = 567000 kip·in.2. Use the sign convention from the textbook throughout (rotation angles are positive counter-clockwise and deflections are positive upwards) unless otherwise stated. Consider section AB of the beam. Treat this section as a cantilever beam subjected to a distributed load. Calculate the deflection at point A. Also calculate the magnitude of the moment at B. Answer:vA1 = in.M = lb·ft
The rigid beam embedded in the Figure is fixed at the top by two posts, one in AISI 4340 steel (dext = 40mm) and the other in 6063-T6 aluminum. If it is desired that the beam appears horizontal after applying a homogeneously distributed load of 400 kN/m; Determine the diameter of the aluminum pole that felt this condition. The posts are 500 mm long when no load is applied to the beam. Calculate the longitudinal displacements (δAl , and δFe) and the half stresses (σAl , and σFe) in the posts. Calculate the factors of safety. Use EFe = 200 Gpa , and Eal = 70 Gpa. Elastic limit AISI 4340 (Sy = 786 MPa), and AA6063-T6 (Sy = 214 MPa) (answer :dAl = 67.6 mm δAl = -0.40 mm ; δFe = -0.40 mm σAl = -55.7 Mpa ; σFe = -159 Mpa ; FSAL = 3.8 FSFE = 4.9)
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Situation 11 An overhang beam is loaded as shown below. The beam cross-section was built by attaching two (2) channels to a 9mm thick plate using 16mm rivets The property of the channel is given: Determine the spacing, in mm, of rivets on the steel plate.
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From the given beam loaded as shown, Let P = 12 kips, L = 6 ft, a = 3 ft. E = 29 x 10^6 psi, I = 722 in^4. Use Bracket Method a. Equation of the slope b. Equation of the deflection curve c. The deflection at the midpoint. d. The slope at point B.
Question:- A 7.5 meters long simply supported structural steel beam carries two concentrated loads P at every third points. Use A 572 Grade 65 steel with Fy=448.18 MPa. The beam is W310x23.8 section having the given properties. A=3040mm² d= 305mm tw= 5.6mm bf=101mm tf= 6.7 mm Ix= 43x10⁶ mm⁴ Iy=1.2x10⁶mm⁴ a) Calculate the allowable bending stress of the compression flange of beam 7.5 fully supported against lateral movement. b) Based from the previous question, calculate the value of concentrated load P that the beam could support safety.
Compute the Ig of a rectangular cross section of a beam with a base of 200mm and a height of 350mm.
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