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32 1 1/2 in Draw a free body diagram...
a. Draw a free-body diagram for the beam shown above and derive expressions for the support...
a. Draw a free-body diagram for the beam shown above and derive
expressions for the support reactions at A and B
b. Draw internal force (shear and bending moment) diagrams.
c. If a = 10 ft and M0 = 200 ft-lb, use the dimensions of the
beam cross-section, provided on the previous page, to compute the
maximum flexural and shear stresses on the beam cross-section.
d. If the allowable bending stress is 925 psi and the allowable
shear stress is...
Problem 1 (27 points) Consider composite beam shown in image below. a) Draw internal force diagrams (6) b) Draw transform section and find its moment of inertia (9) c) Draw normal stress and strain d...
Problem 1 (27 points) Consider composite beam shown in image below. a) Draw internal force diagrams (6) b) Draw transform section and find its moment of inertia (9) c) Draw normal stress and strain diagram at cross-section with max moment (6) d) Find shear stress at the interface between PVC and Escon (6) 500 lb 500 lb PVC Epvc 450 ksi Escon EF160 ksi 3 ft 3 ft in. 2 in 3 in.
Problem 1 (27 points) Consider composite beam...
For the Wide-Flange I-beam with distributed load as in figure below calculate: 1) the shear force...
For the Wide-Flange I-beam with distributed load as in figure below calculate: 1) the shear force V(x) and the bending moment M(x) and plot the shear and bending moment diagrams 2) the maximum bending moment MMAX For the section of the beam with Mwax calculate for each of the points A and B shown in the figure: (a) the flexural stress og (b) the principal stresses 01, 02, 03 c) the principal stress angle Upi (d) the absolute maximum shear...
PROBLEM 3 (25%) For the problem shown below, the free body diagram (FBD) is superimposed showing...
PROBLEM 3 (25%) For the problem shown below, the free body diagram (FBD) is superimposed showing the reactions forces (the reaction forces are given). Ax = 0; Ay = 9 kip, Cy = 33 kip 1. Draw the shear force diagram. Identify values at kink points (no equations required). 2. Draw the bending moment diagram. Identify values at kink points (no equations required). 3. Determine the value of the maximum positive moment in the beam (Mmax). 4. Compute the vertical...
PROBLEM 3 (25%) For the problem shown below, the free body diagram (FBD) is superimposed showing...
PROBLEM 3 (25%) For the problem shown below, the free body diagram (FBD) is superimposed showing the reactions forces (the reaction forces are given). Ax = 0; Ay = 9 kip, Cy = 33 kip 1. Draw the shear force diagram. Identify values at kink points (no equations required). 2. Draw the bending moment diagram. Identify values at kink points (no equations required). 3. Determine the value of the maximum positive moment in the beam (Mmax). 4. Compute the vertical...
2. Draw Shear Force and Bending Moment Diagram (use your preferred method). Determine Maximum Ten...
2. Draw Shear Force and Bending Moment Diagram (use your preferred method). Determine Maximum Tensile and Compressive Stresses due to bending, state where on the beam these occur. For the mid-point between A and B, determine shear stress at neutral axis; 2" from the top of the flange; at the junction between web and flange and on the top of the flange for the cross-section. Plot of the bending stress and shear stress distribution diagram across the cross section of...
For the beam cross-section shown below and for an internal shear force Va150 kips and internal...
For the beam cross-section shown below and for an internal shear force Va150 kips and internal bending moment M 1,400 kip-in: opiem 3 3.1) Calculate the moment of inertia of the beam about the x-axis. 3.2) Calculate the maximum bending st 10 Points ress in the section. Indicate on the section where the maximum stress occurs. Points 3.3) Calculate the average shear stress over the cross-section
Blem 2. (70 points) 1. For the beam shown in Figure (a): a) b) draw the shear force and bending m...
blem 2. (70 points) 1. For the beam shown in Figure (a): a) b) draw the shear force and bending moment diagrams. (30 points) Select the most economical W shape for the beam with an allowable bending stress of 30 ksi. (10 points) determine the maximum tensile and compressive bending stresses at any location along the beam if the section shown in Figure (b) is used instead of the W shape section selectedin Part b. Would the beam be safe...
2. (10 points) Consider the beam shown below: (a) draw the complete shear diagram with corresponding...
2. (10 points) Consider the beam shown below: (a) draw the complete shear diagram with corresponding labels and units (b) draw the complete moment diagram with corresponding labels and units (c) find the magnitude of maximum compressive normal stress (d) find the magnitude of the maximum tensile normal stress Give the value and location for all quantities along the beam and on the cross section. NOTE: The moment of inertia is I, = 99.75 in* and the centroid is given....
2. (10 points) Consider the beam shown below: (a) draw the complete shear diagram with corresponding...
2. (10 points) Consider the beam shown below: (a) draw the complete shear diagram with corresponding labels and units (b) draw the complete moment diagram with corresponding labels and units (c) find the magnitude of maximum compressive normal stress (d) find the magnitude of the maximum tensile normal stress Give the value and location for all quantities along the beam and on the cross section. NOTE: The moment of inertia is I, = 99.75 in* and the centroid is given....
a. Draw a free-body diagram for the beam shown above and derive
expressions for the support reactions at A and B
b. Draw internal force (shear and bending moment) diagrams.
c. If a = 10 ft and M0 = 200 ft-lb, use the dimensions of the
beam cross-section, provided on the previous page, to compute the
maximum flexural and shear stresses on the beam cross-section.
d. If the allowable bending stress is 925 psi and the allowable
shear stress is...
Problem 1 (27 points) Consider composite beam shown in image below. a) Draw internal force diagrams (6) b) Draw transform section and find its moment of inertia (9) c) Draw normal stress and strain diagram at cross-section with max moment (6) d) Find shear stress at the interface between PVC and Escon (6) 500 lb 500 lb PVC Epvc 450 ksi Escon EF160 ksi 3 ft 3 ft in. 2 in 3 in.
Problem 1 (27 points) Consider composite beam...
For the Wide-Flange I-beam with distributed load as in figure below calculate: 1) the shear force V(x) and the bending moment M(x) and plot the shear and bending moment diagrams 2) the maximum bending moment MMAX For the section of the beam with Mwax calculate for each of the points A and B shown in the figure: (a) the flexural stress og (b) the principal stresses 01, 02, 03 c) the principal stress angle Upi (d) the absolute maximum shear...
PROBLEM 3 (25%) For the problem shown below, the free body diagram (FBD) is superimposed showing the reactions forces (the reaction forces are given). Ax = 0; Ay = 9 kip, Cy = 33 kip 1. Draw the shear force diagram. Identify values at kink points (no equations required). 2. Draw the bending moment diagram. Identify values at kink points (no equations required). 3. Determine the value of the maximum positive moment in the beam (Mmax). 4. Compute the vertical...
PROBLEM 3 (25%) For the problem shown below, the free body diagram (FBD) is superimposed showing the reactions forces (the reaction forces are given). Ax = 0; Ay = 9 kip, Cy = 33 kip 1. Draw the shear force diagram. Identify values at kink points (no equations required). 2. Draw the bending moment diagram. Identify values at kink points (no equations required). 3. Determine the value of the maximum positive moment in the beam (Mmax). 4. Compute the vertical...
2. Draw Shear Force and Bending Moment Diagram (use your preferred method). Determine Maximum Tensile and Compressive Stresses due to bending, state where on the beam these occur. For the mid-point between A and B, determine shear stress at neutral axis; 2" from the top of the flange; at the junction between web and flange and on the top of the flange for the cross-section. Plot of the bending stress and shear stress distribution diagram across the cross section of...
For the beam cross-section shown below and for an internal shear force Va150 kips and internal bending moment M 1,400 kip-in: opiem 3 3.1) Calculate the moment of inertia of the beam about the x-axis. 3.2) Calculate the maximum bending st 10 Points ress in the section. Indicate on the section where the maximum stress occurs. Points 3.3) Calculate the average shear stress over the cross-section
blem 2. (70 points) 1. For the beam shown in Figure (a): a) b) draw the shear force and bending moment diagrams. (30 points) Select the most economical W shape for the beam with an allowable bending stress of 30 ksi. (10 points) determine the maximum tensile and compressive bending stresses at any location along the beam if the section shown in Figure (b) is used instead of the W shape section selectedin Part b. Would the beam be safe...
2. (10 points) Consider the beam shown below: (a) draw the complete shear diagram with corresponding labels and units (b) draw the complete moment diagram with corresponding labels and units (c) find the magnitude of maximum compressive normal stress (d) find the magnitude of the maximum tensile normal stress Give the value and location for all quantities along the beam and on the cross section. NOTE: The moment of inertia is I, = 99.75 in* and the centroid is given....
2. (10 points) Consider the beam shown below: (a) draw the complete shear diagram with corresponding labels and units (b) draw the complete moment diagram with corresponding labels and units (c) find the magnitude of maximum compressive normal stress (d) find the magnitude of the maximum tensile normal stress Give the value and location for all quantities along the beam and on the cross section. NOTE: The moment of inertia is I, = 99.75 in* and the centroid is given....
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