Homework Answers
The internal shear force at a certain section of a steel beam is V = 210...
The internal shear force at a certain section of a steel beam is
V = 210 kN . The beam cross section shown in the figure has
dimensions of t f = 17 mm , b f = 290 mm , d = 406 mm , and t w =
10 mm . Determine:
(a) the shear stress at point A, which is located at y
A = 78 mm below the centroid of the wide-flange shape.
(b) the maximum...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19 kN 10 kN/m T 2 mm mm A4n - 3 m +3m → a. Draw the shear force and bending moment diagram. 2 mm Section X-X b. For the cross section x-x given, calculate the maximum tensile and compressive bending stress c. For the cross section X-X given, calculate the maximum shear stress
The internal shear force at a certain section of a steel beam is V=185 kN. The...
The internal shear force at a certain section of a steel beam is
V=185 kN. The beam cross section shown in the figure has dimensions
of tf=17 mm, bf=300 mm, d=394 mm, and tw=10 mm. Determine:
(a) the shear stress at point A, which is located at
yA=71 mm below the centroid of the wide-flange shape.
(b) the maximum horizontal shear stress in the wide-flange
shape.
The internal shear force at a certain section of a steel beam is V=...
2. (32 pts) Two identical 20 mm thick plates are bolted to the top and bottom...
2. (32 pts) Two identical 20 mm thick plates are bolted to the top and bottom Mange to form the build-up heam. If the beam is subjected to a shear force of V = 300 KN and a bending moment of M = 500 KN-m. d) Calculate the shear stress between flange plates. If each bolt has a shear strength of 30 KN, determine a) Calculate moment of inertia of the cross section in the z axis. b) Calculate the...
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)...
2. Given the shaft specifications and gear diameters, determine largest allowable force P2. gear A diameter-300 mm gear C diamter 400 mm alow60 MPa dshaft44 mm 80 mm 25O mm 250 1. Set P1 1 kN 2....
2. Given the shaft specifications and gear diameters, determine largest allowable force P2. gear A diameter-300 mm gear C diamter 400 mm alow60 MPa dshaft44 mm 80 mm 25O mm 250 1. Set P1 1 kN 2. Find torque between A and C 3. Calculate shear stress 4. Find maximum moment about y-axis (fbd of x-z plane) 5. Find maximum moment about z-axis (fbd of y-z plane) 6. Find resultant moment 7. Calculate normal stress for resultant bending moment 8....
A column with a wide-flange section has a flange width b = 400 mm , height...
A column with a wide-flange section has a flange width
b = 400 mm , height h = 400 mm , web thickness
tw = 13 mm , and flange thickness
tf = 21 mm (Figure 1). Calculate the stresses at
a point 65 mm above the neutral axis if the section supports a
tensile normal force N = 3 kN at the centroid, shear force
V = 7.4 kN , and bending moment M = 4 kN⋅m as
shown...
An I-beam has a flange width b = 200 mm , height h = 200 mm , web thickness tw = 8 mm , and flange thickness tf = 12 mm...
An I-beam has a flange width b = 200 mm , height h = 200 mm ,
web thickness tw = 8 mm , and flange thickness
tf = 12 mm . Use the following steps to calculate the
shear stress at a point 65 mm above the neutral axis.
Part A - Moment of inertia
The shear formula includes the moment of inertia of the whole
cross section, I, about the neutral axis. Calculate the moment of
inertia.
Express...
4. Figure 4 shows a beam with three supports at A, B and D. The beam...
4. Figure 4 shows a beam with three supports at A, B and D. The
beam also has a pin connection at C. Draw the shear force diagram
and bending moment diagram of the beam. Calculate the maximum
bending stress and maximum shear stress of the beam.
200 mm 5 kN 3 kN/m 30 mm - 25 mm N IITIT 250 mm 3m — 3 m +1.5 m +1.5 m1 30 mm 100 mm Cross-section of beam Figure 4
For the beam shown below, find the maximum bending stress and maximum transverse shear stress. That...
For the beam shown below, find the maximum bending stress and maximum transverse shear stress. That is, carry out load and stress analyses in the following order. Load Analysis Draw the load diagram or free body diagram (FBD) and determine the support reactions. Show your calculations. • Draw the shear force diagram (SFD). Show your calculations. Draw the bending moment diagram (BMD). Show your calculations. Stress Analysis Identify the critical section(s) and determine the maximum normal (bending) stress at the...
The internal shear force at a certain section of a steel beam is
V = 210 kN . The beam cross section shown in the figure has
dimensions of t f = 17 mm , b f = 290 mm , d = 406 mm , and t w =
10 mm . Determine:
(a) the shear stress at point A, which is located at y
A = 78 mm below the centroid of the wide-flange shape.
(b) the maximum...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19 kN 10 kN/m T 2 mm mm A4n - 3 m +3m → a. Draw the shear force and bending moment diagram. 2 mm Section X-X b. For the cross section x-x given, calculate the maximum tensile and compressive bending stress c. For the cross section X-X given, calculate the maximum shear stress
The internal shear force at a certain section of a steel beam is
V=185 kN. The beam cross section shown in the figure has dimensions
of tf=17 mm, bf=300 mm, d=394 mm, and tw=10 mm. Determine:
(a) the shear stress at point A, which is located at
yA=71 mm below the centroid of the wide-flange shape.
(b) the maximum horizontal shear stress in the wide-flange
shape.
The internal shear force at a certain section of a steel beam is V=...
2. (32 pts) Two identical 20 mm thick plates are bolted to the top and bottom Mange to form the build-up heam. If the beam is subjected to a shear force of V = 300 KN and a bending moment of M = 500 KN-m. d) Calculate the shear stress between flange plates. If each bolt has a shear strength of 30 KN, determine a) Calculate moment of inertia of the cross section in the z axis. b) Calculate the...
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)...
2. Given the shaft specifications and gear diameters, determine largest allowable force P2. gear A diameter-300 mm gear C diamter 400 mm alow60 MPa dshaft44 mm 80 mm 25O mm 250 1. Set P1 1 kN 2. Find torque between A and C 3. Calculate shear stress 4. Find maximum moment about y-axis (fbd of x-z plane) 5. Find maximum moment about z-axis (fbd of y-z plane) 6. Find resultant moment 7. Calculate normal stress for resultant bending moment 8....
A column with a wide-flange section has a flange width
b = 400 mm , height h = 400 mm , web thickness
tw = 13 mm , and flange thickness
tf = 21 mm (Figure 1). Calculate the stresses at
a point 65 mm above the neutral axis if the section supports a
tensile normal force N = 3 kN at the centroid, shear force
V = 7.4 kN , and bending moment M = 4 kN⋅m as
shown...
An I-beam has a flange width b = 200 mm , height h = 200 mm ,
web thickness tw = 8 mm , and flange thickness
tf = 12 mm . Use the following steps to calculate the
shear stress at a point 65 mm above the neutral axis.
Part A - Moment of inertia
The shear formula includes the moment of inertia of the whole
cross section, I, about the neutral axis. Calculate the moment of
inertia.
Express...
4. Figure 4 shows a beam with three supports at A, B and D. The
beam also has a pin connection at C. Draw the shear force diagram
and bending moment diagram of the beam. Calculate the maximum
bending stress and maximum shear stress of the beam.
200 mm 5 kN 3 kN/m 30 mm - 25 mm N IITIT 250 mm 3m — 3 m +1.5 m +1.5 m1 30 mm 100 mm Cross-section of beam Figure 4
For the beam shown below, find the maximum bending stress and maximum transverse shear stress. That is, carry out load and stress analyses in the following order. Load Analysis Draw the load diagram or free body diagram (FBD) and determine the support reactions. Show your calculations. • Draw the shear force diagram (SFD). Show your calculations. Draw the bending moment diagram (BMD). Show your calculations. Stress Analysis Identify the critical section(s) and determine the maximum normal (bending) stress at the...
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