Structural Analysis (MindTap Course List)
5th Edition
ISBN: 9781133943891
Author: Aslam Kassimali
Publisher: Cengage Learning
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Question
Chapter 5, Problem 4P
To determine
Find the axial force, shear, and bending moment at points A and B of the beam.
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The picture shows a truss subjected to a load P at joint C. Considering that the two bars have the same length, crosssection area A and modulus of elasticity E:
a. Compute the internal forces in bars BC and CD. Indicate if they are in compression or tension.
b. Calculate the total deformation of the bars BC and CD.
c. Compute the displacement of joint C.
d. Determine the principal stresses in the bar BC and their angles of orientation (principal planes) with respect to the x-axis shown in the picture. Is there a shear stress in this plane?
e. Indicate the maximum shear stress in the bar BC. What is the angle of orientation with respect to the principal plane
Two 160 mm * t cover plates are welded to two cahnnels 200 mm high to form the cross section of the beam shown in the figure. The moment of inertia of each channel about a horizontal axis through the centroid is 2.06*106mm4.
a)Determine the support reactions.
b)Draw the shear force and bending moment diagrams.
c)If the allowable bending stress of the beam is 255 MPa, find the required thickness t of the plates to safely support the load.
2.23 For the steel truss (E = 200 GPa) and loading shown, determine
the deformations of members AB and AD, knowing that their
cross-sectional areas are 2400 mm² and 1800 mm², respectively.
A
4.0 m-
B
Q Search
228 kN
D
4.0 m
1
2.5 m
C
a
hp
Chapter 5 Solutions
Structural Analysis (MindTap Course List)
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Prob. 17PCh. 5 - Determine the equations for shear and bending...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - Prob. 25PCh. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - Prob. 27PCh. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Prob. 34PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Prob. 36PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Draw the shear and bending moment diagrams for the...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71P
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- Compute the forces in members of the truss shown below in figure. 15 kN 15 kN p. e 3 m a b 4 m 4 marrow_forwardWhich of the following is the nearest value for the force at member BC? a. 5kN tension b. 1.6 kN tension c. 1.6 kN compression d. 5 kN compressionarrow_forwardThe plane truss is loaded as shown 10 N C. E 2.40 m 2.00 m 2.40 m 2.40 m 2.40 m What is the force in member CD in N? m.arrow_forward
- Problem 6.3 3D Equilibrium Determine the reactions at the fixed support A due to the 480 N, 1085 N and 875 N loads which act along the x, y and z axes respectively. You must include a free-body diagram. 480 N x A 1.3 m 0.5 m 0.65 m STRAKE SHEER STRAKE BUTT CONNECTION COTION" SHELL OR OUTER PLATING STANCHION TRANSVERSE BULK 0.75 m 875 N FE TRANSVERSE FRAME LONGITUDINAL FRAME STRAKE 1085 Narrow_forwardThe truss is loaded by two concentrated forces as shown in the figure. Use E = 30 x 106 psi and A = 0.60 in2 for all the members. Determine the deformation sustained by members CG, AF, and FG.arrow_forwardDetermine the axial forces, shears, andbending moments at points A and B of the structure shown.arrow_forward
- Which of the following is the nearest value for the force at member CD? a. 4 kN compression b. 6 kN tension c. 6 kN compression d. 4 kN tensionarrow_forwardA scissors truss supports three forces at joints B, C, and D as shown in the figure below. The forces have magnitudes F₁ = 20 kip, F₂ = 35 kip, and F3 = 45 kip. The truss is held in equilibrium by a pin at point A and a roller at point E. Note that sides ABC, CDE, AFD, and BFE are straight lines, and member CF is vertical. Joint F lies s= 24 ft to the right and h = 8 ft above joint A, and joint C lies h = 8 ft above joint F. Use the method of joints to determine the force in each member of the truss, and indicate whether they are in tension or compression. Note: Express tension forces as positive (+) and compression forces as negative (-). A A S B F₁ F₂ F C LLM D S E OIOIO 777777 h harrow_forwardDetermine the forces in DF, EF, and EG in the truss shown diagrammatically in the figure. 40 kN 40 kN 40 kN DJarrow_forward
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