A beam assembly shown below is supported by a simple hinge and roller supports at A and Crespectively. The 8-ft-long segment A-C (a = 4 ft) has a uniform cross section as shown in thefigure, right (cross section at e-e). The beam assembly is subjected to a concentrated load (P = 3kip) at point D, which is directly above point A. Take E = 31500 ksi.DeeRCross sectionat e---e463bbAb4bFigure 4: Simply supported beam with point load and cross-sectionIf the maximum tensile and compressive bending stresses in the segment A-C cannot exceed ±100ksi without failure, respectively, determine the smallest allowable dimension b in the segment crosssection (see cross section at e-e above, which applies to the whole segment AC). Use F.S. = 2.

Answered: Image /qna-images/answer/6b2a93d7-69a4-4246-b429-5ae5c5d71061.jpg

A beam assembly shown below is supported by a simple hinge and roller supports at A and C respectively. The 8-ft-long segment A-C (a 4 ft) has a uniform cross section as shown in the figure, right (cross section at e-e). The beam assembly is subjected to a concentrated load (P = 3 kip) at point D, which is directly above point A. Take E = = 31500 ksi. D e 'e = Cross section at e---e 3b Ab 4b Figure 4: Simply supported beam with point load and cross-section If the maximum tensile and compressive bending stresses in the segment A-C cannot exceed ±100 ksi without failure, respectively, determine the smallest allowable dimension b in the segment cross section (see cross section at e-e above, which applies to the whole segment AC). Use F.S. = 2.

A beam assembly shown below is supported by a simple hinge and roller supports at A and C respectively. The 8-ft-long segment A-C (a 4 ft) has a uniform cross section as shown in the figure, right (cross section at e-e). The beam assembly is subjected to a concentrated load (P = 3 kip) at point D, which is directly above point A. Take E = = 31500 ksi. D e 'e = Cross section at e---e 3b Ab 4b Figure 4: Simply supported beam with point load and cross-section If the maximum tensile and compressive bending stresses in the segment A-C cannot exceed ±100 ksi without failure, respectively, determine the smallest allowable dimension b in the segment cross section (see cross section at e-e above, which applies to the whole segment AC). Use F.S. = 2.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The steel truss is shown in the figure. Indicate in your solution, whether the member undergoes tension (T) or compression (C). 15 KN B F 10m D f5m4 A 10m 10m ILI E 40 KN C 5m. GO- 4m 6m 10m Determine the axial force in member DA in KN.0 Determine the axial force in member AC in KN.0 Determine the axial force in member DF in KN.0
A T-beam has the following properties: bf = 820 mm, bw = 250 mm, d = 470 mm, t = 100 mm. f’c = 20.7 MPa, fy = 414 MPa. Determine the required tension steel area when: a.MD = 175 kN-m, ML = 190 kN-m b.Find the maximum design moment so that its tension controlled. (USE c = 3d/8). Tension steel exactly experiences 0.005 strain. hello please answer that question,,thank you God bless
Q4/ The rigid beam is supported by a pin at A and two steel wires BD and CE. Each rod has a diameter of d. If the load P on the beam causes the end C to be displaced h downward, determine the normal strain developed in wires CE and BD and the applied load P. Assume E steel = 200 Gpa and %3D a= 1.5 m, b= 1m, d=30 mm, h= 8 mm E D 2a A B a
250 mm A D P = 25 kN B 30 60 C TOP VIEW 280 mm Member AD is fabricated by joining two bars (E0=205GP,, Ga=82GPA) and is pinned to plate ABC using a 5 mm diameter pins as shown in the figure. The yield strength of the pins is T,=890MPA. Plate ABC is a right triangle and is fixed along its edge BC. A 25KN Force P is then applied at end D causing a lateral strain in member AD with magnitude equal to 7.5x10-mm/mm. This also causes Point A to displace only along the horizontal resulting to a shear strain at point A equal to y,=+0.00165rad. Determine the following: 1. Poisson's ratio of material used in member AD, vAD 2. The normal strain in member AD, caD 3. The average stress experienced by pin A, T, 4. Factor of Safety of pin A with respect to yielding, FS,A 5. Displacement of point D, A,
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1770 in.4]. For the loading shown, determine: (a) the bearn deflection at point.A. (b) the bearn deflection at point B. Assume MA = 250 kip-ft, P = 26 kips, LAB = 6.0 ft, Lec=9 ft. P MA В LAB LBC Answer: (a) VA = in. (b) VB = in,
a. The beam weighs 3600N. Draw the V and M diagram. b. Assume we do not know the weight of the beam the solid steel bar has a square cross section of side b and is supported as shown. We know that density of steel is 7860 kg/m, calculate the dimension b for which the maximum normal stress due to bending is 50 MPa. A C -1.2 m-1.2 m- D 1-1-1 B -1.2 m- b
The bridge truss shown carries the following uniform live load and concentrated live load. в с D A B E 3m K F G H J SO8m W(LL) P(LL) 15 110 Calculate the following: 7. Maximum force on member GH
Q4/ The rigid beam is supported by a pin at A and two steel wires BD and CE. Each rod has a diameter of d. If the load P on the beam causes the end C to be displaced h downward, determine the normal strain developed in wires CE and BD and the applied load P. Assume E steel= 200 Gpa and a= 1.75 m, b= Im, d= 50mm, h= 10mm 2a
Abar AB is attached at A as fixed support. A small spaces can be seen on the other side of the bar prior to another rigid surface. Load P is applied on the bar located at two-thirds of length L from point A. Determine the small space s if the support reactions at A and B are to be equal due to the external load P. See all necessary parameters below. A L 2.5 m A 1800 mm² E 50 GPa 90 KN EP 2 =L 3 1 mm 3 mm L ANSWERS: ALL ANSWERS SHOULD BE IN THREE (3) DECIMAL PLACES INCLUDING ZEROS 81 (delta due to external load P) = 82 (delta due to Reaction at B) = Small Space s = mm ,S₁ B
The steel is supported by the steel tie rod in AB beam B. Steel connection tension rod is placed 2 meters to the left of B and C sliding bracket is placed and P is loaded between AC It is. By ignoring the weights of beams and connecting rods, they can be determine the largest P load it can carry. The diameter of the BD rod is 16 mm. E = 200GPa I = 150x106mm4
The rigid beam shown is supported by a pin at A and two steel rods each of diameter 16 mm. If P = 30 kN, determine the tensile forces PBE & PCF in rods BE and CF, respectively. For steel, E = 200 GPa. F 2.0 m E P = 30 kN 2.5 m D -3 m- -3 m-
The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi; I=843 in.*]. Assume that the support at D can provide resistance either up or down. For a loading of w=4.8 kips/ft, determine: (a) the beam deflection VA at point A. (b) the beam deflection vc at point C. Assume LAB= 12 ft. LBC = 8 ft. LcD=8 ft. LDE = 6 ft. W' B LAB Answers: (a) VA- i (b) vc= i Lac D LCD in. in. LDE E