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QUESTION 1 If the cross section of the beam...
QUESTION 1 If the cross section of the beam in the previous question is "T" shape...
QUESTION 1 If the cross section of the beam in the previous question is "T" shape with the below dimensions, find the centroid and moment of inertia of the complex shape by constructing the table, do the required calculations and answer the following questions. TFw TFIT BFt BFw TFw= 80mm TFt= 38.4mm Wh= 50mm Wt= 10mm BFt= 32mm BFw= 100mm The y-coordinate of the centroid of the complex "I" shape =
The cross-section of a beam is shown below. The top rectanular piece of the cross-section is...
The cross-section of a beam is shown below. The top rectanular
piece of the cross-section is a steel section 6 inches wide by 8
inches deep. The dimensions of the member are shown below in the
table. The cross-section is loaded in bending by a moment about the
zz-axis. The allowable bending stress of the cross-section is 42
(ksi).
Determine:
a) the elastic centroid of the cross-section.
b) the yield moment.
c) the plastic centroid of the cross-section
d) the...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section is a steel section 6 inches wide by 8 inches deep. The dimensions of the member are shown below in the table. The cross-section is loaded in bending by a moment about the zz-axis. The allowable bending stress of the cross-section is 36 (ksi). Determine: a) the elastic centroid of the cross-section. b) the yield moment. c) the plastic centroid of the cross-section d)...
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)...
3. (25pts) You have a beam with the cross section shown. Take x=0 (horizontal) and y=0...
3. (25pts) You have a beam with the cross section shown. Take x=0 (horizontal) and y=0 (vertical) at the lower left corner at point C. Use the table method for calculations. a. What is the area of the beam cross section? Give answer in mm2. b. What are the coordinates of the centroid of the beam cross section, i and j. Give answers in mm. 400mm C. What is the 2nd moment of the area of the beam about its...
The cantilever beam is subjected to a concentrated load of P = 52 kips. The cross-sectional...
The cantilever beam is
subjected to a concentrated load of P = 52 kips. The
cross-sectional dimensions of the wide-flange shape are shown in
the second figure. Assume yH = 3.2 in.,
yK = 1.8 in., d = 10.8 in.,
tw = 0.354 in., tf = 0.414
in., bf = 6.62 in. Determine:
(a) the shear stress τH at point H, which is located 3.2
in. below the centroid of the wide-flange shape.
(b) the maximum horizontal shear stress τmax...
please show all your work thank you! Problem 2 (25%) 14 in A beam cross-section is...
please show all your work thank you!
Problem 2 (25%) 14 in A beam cross-section is shown in the provided figure. 2 in (A)(10%) Determine the distance (y) from the bottom the section to the centroid (C). 16 in 8 in Problem 2 (25% - 14 in- A beam cross-section is shown in the provided figure. 2 in (B) (15%) Determine the moment of inertia of the shape about the X-axis (i.e. the horizontal centroidal axis) 16 in - 2...
A beam with a cross section shown below is subjected to a positive moment about a horizontal axis...
A beam with a cross section shown below is subjected to a positive moment about a horizontal axis. The beam is made from an elastic perfectly plastic material with an allowable yield stress of 220 MPa. "t" has a value of 12 mm. Answer the questions that follow: 10t 6t Determine the centroid of this section i.e.as measured from the bottom of the section in [mm) - Determine the moment of inertia about the elastic neutral axis in [mm4] Determine...
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.' Calculate: a. the yielding moment Mv 19 Ma...
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.' Calculate: a. the yielding moment Mv 19 Marks b. the plastic moment Mp; 8 Marks] c. the shape factor f 3 Marks]
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.'...
Question 1 (20 marks total) For the cross-section given in Figure 1, a) determine the distance...
Question 1 (20 marks total) For the cross-section given in Figure 1, a) determine the distance y to the centroid; (10 marks) b) find the moment of inertia about the x'axis. (10 marks) V 30 mm 30 mm 70 mm 140 mm 30 mm 30 mm 170 mm Figure 1 Question 2 (20 marks total) For the beam in Figure 2, a) determine the reaction forces at A and B; (4 marks) b) develop shear and bending moment equations in...
QUESTION 1 If the cross section of the beam in the previous question is "T" shape with the below dimensions, find the centroid and moment of inertia of the complex shape by constructing the table, do the required calculations and answer the following questions. TFw TFIT BFt BFw TFw= 80mm TFt= 38.4mm Wh= 50mm Wt= 10mm BFt= 32mm BFw= 100mm The y-coordinate of the centroid of the complex "I" shape =
The cross-section of a beam is shown below. The top rectanular
piece of the cross-section is a steel section 6 inches wide by 8
inches deep. The dimensions of the member are shown below in the
table. The cross-section is loaded in bending by a moment about the
zz-axis. The allowable bending stress of the cross-section is 42
(ksi).
Determine:
a) the elastic centroid of the cross-section.
b) the yield moment.
c) the plastic centroid of the cross-section
d) the...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section is a steel section 6 inches wide by 8 inches deep. The dimensions of the member are shown below in the table. The cross-section is loaded in bending by a moment about the zz-axis. The allowable bending stress of the cross-section is 36 (ksi). Determine: a) the elastic centroid of the cross-section. b) the yield moment. c) the plastic centroid of the cross-section d)...
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)...
3. (25pts) You have a beam with the cross section shown. Take x=0 (horizontal) and y=0 (vertical) at the lower left corner at point C. Use the table method for calculations. a. What is the area of the beam cross section? Give answer in mm2. b. What are the coordinates of the centroid of the beam cross section, i and j. Give answers in mm. 400mm C. What is the 2nd moment of the area of the beam about its...
The cantilever beam is
subjected to a concentrated load of P = 52 kips. The
cross-sectional dimensions of the wide-flange shape are shown in
the second figure. Assume yH = 3.2 in.,
yK = 1.8 in., d = 10.8 in.,
tw = 0.354 in., tf = 0.414
in., bf = 6.62 in. Determine:
(a) the shear stress τH at point H, which is located 3.2
in. below the centroid of the wide-flange shape.
(b) the maximum horizontal shear stress τmax...
please show all your work thank you!
Problem 2 (25%) 14 in A beam cross-section is shown in the provided figure. 2 in (A)(10%) Determine the distance (y) from the bottom the section to the centroid (C). 16 in 8 in Problem 2 (25% - 14 in- A beam cross-section is shown in the provided figure. 2 in (B) (15%) Determine the moment of inertia of the shape about the X-axis (i.e. the horizontal centroidal axis) 16 in - 2...
A beam with a cross section shown below is subjected to a positive moment about a horizontal axis. The beam is made from an elastic perfectly plastic material with an allowable yield stress of 220 MPa. "t" has a value of 12 mm. Answer the questions that follow: 10t 6t Determine the centroid of this section i.e.as measured from the bottom of the section in [mm) - Determine the moment of inertia about the elastic neutral axis in [mm4] Determine...
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.' Calculate: a. the yielding moment Mv 19 Marks b. the plastic moment Mp; 8 Marks] c. the shape factor f 3 Marks]
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.'...
Question 1 (20 marks total) For the cross-section given in Figure 1, a) determine the distance y to the centroid; (10 marks) b) find the moment of inertia about the x'axis. (10 marks) V 30 mm 30 mm 70 mm 140 mm 30 mm 30 mm 170 mm Figure 1 Question 2 (20 marks total) For the beam in Figure 2, a) determine the reaction forces at A and B; (4 marks) b) develop shear and bending moment equations in...
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