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30 k 12" A 4 ft Equation sheet may be accessed here. Calculate the...
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...
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft...
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft over the entire span. The beam and cross section are shown below. Draw the shear and moment diagrams, find the neutral axis location, moment of inertia of the composite section, the maximum bending stress on the cross section. (40 points) 10" 2 k/ft 1-3" 30'-0"
Q3 (25 pts) 3. For the cantilever beam shown below and to the left, Determine the...
Q3
(25 pts) 3. For the cantilever beam shown below and to the left, Determine the reactions at the wall at C. Draw the shear (V) and moment (M) diagram for the beam and label the appropriate values. For the given cross section, determine the magnitude of the maximum COMPRESSIVE bending stress and state where this occurs along the length of the beam and along the height of the beam (top or bottom). Sketch the NORMAL stress distribution (profile) for...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm....
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
For the beam and loading shown, determine: A. The maximum shearing force in the beam =...
For the beam and loading shown, determine:
A. The maximum shearing force in the beam = kips
B. The maximum bending moment in the beam = kip in
C. The centroid of the cross section is at (in.) from the bottom
b
D. The moment of inertia of the cross section = in^4
E.the shearing stress at point a = ksi
F. The shearing stress at point b = ksi
G. The max shearing stress in the cross section =...
The dimensions for the W 21x62 beam cross section (shown below) are in inches: tf =...
The dimensions for the W 21x62 beam cross section (shown below)
are in inches: tf = .615, tw = .4,
bf = 8.24, d = 21. What is the maximum transverse shear
stress on the beam cross section if the shear force acting on it is
5.2 kip?
0.706 ksi
0.25 ksi
0.365 ksi
1.023 ksi
Point E у tw 15 kips 1 bf Point F
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...
The 25 foot beam is loaded as shown below. a. (10 points) Draw the shear and...
The 25 foot beam is loaded as shown below. a. (10 points) Draw the shear and bending moment diagrams for this beam. b. (15 points) What is the value of the maximum normal tensile and compressive stress in the beam? C. (10 points) What is the value of the maximum shear stress in the beam? 2 kips 3 kips w = 1 kip/ft VE VE 10 ft 5 ft 5 ft 5 ft 20 Beam Cross-Section
3. The beam, with symmetric cross-section about y (all thicknesses of 1 in) as shown, is...
3. The beam, with symmetric cross-section about y (all thicknesses of 1 in) as shown, is subjected to an internal moment of M 480 kip.in and a shear force of V 340 kip. For this system, a) determine the location of the neutral axis, y (measured from the bottom of cross-section as shown) and the area moment of inertia, I about the neutral axis (NA or z-axis), the maximum compressive, (o,nax), and tensile, (Omax): normal stresses, and b) o kip....
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...
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft over the entire span. The beam and cross section are shown below. Draw the shear and moment diagrams, find the neutral axis location, moment of inertia of the composite section, the maximum bending stress on the cross section. (40 points) 10" 2 k/ft 1-3" 30'-0"
Q3
(25 pts) 3. For the cantilever beam shown below and to the left, Determine the reactions at the wall at C. Draw the shear (V) and moment (M) diagram for the beam and label the appropriate values. For the given cross section, determine the magnitude of the maximum COMPRESSIVE bending stress and state where this occurs along the length of the beam and along the height of the beam (top or bottom). Sketch the NORMAL stress distribution (profile) for...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
For the beam and loading shown, determine:
A. The maximum shearing force in the beam = kips
B. The maximum bending moment in the beam = kip in
C. The centroid of the cross section is at (in.) from the bottom
b
D. The moment of inertia of the cross section = in^4
E.the shearing stress at point a = ksi
F. The shearing stress at point b = ksi
G. The max shearing stress in the cross section =...
The dimensions for the W 21x62 beam cross section (shown below)
are in inches: tf = .615, tw = .4,
bf = 8.24, d = 21. What is the maximum transverse shear
stress on the beam cross section if the shear force acting on it is
5.2 kip?
0.706 ksi
0.25 ksi
0.365 ksi
1.023 ksi
Point E у tw 15 kips 1 bf Point F
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...
The 25 foot beam is loaded as shown below. a. (10 points) Draw the shear and bending moment diagrams for this beam. b. (15 points) What is the value of the maximum normal tensile and compressive stress in the beam? C. (10 points) What is the value of the maximum shear stress in the beam? 2 kips 3 kips w = 1 kip/ft VE VE 10 ft 5 ft 5 ft 5 ft 20 Beam Cross-Section
3. The beam, with symmetric cross-section about y (all thicknesses of 1 in) as shown, is subjected to an internal moment of M 480 kip.in and a shear force of V 340 kip. For this system, a) determine the location of the neutral axis, y (measured from the bottom of cross-section as shown) and the area moment of inertia, I about the neutral axis (NA or z-axis), the maximum compressive, (o,nax), and tensile, (Omax): normal stresses, and b) o kip....
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