Homework Answers
Draw the free body diagram of the bar in x-y plane:
Calculate the normal stress at pointt a using the following equation
Draw the free body diagram of the bar in y-z plane:
There is no thickness.Therefore,the shear stress will become zero
Question 5 16 pts The steel pipe AB has a 72-mm outer diameter and a 5-mm...
Question 5 16 pts The steel pipe AB has a 72-mm outer diameter and a 5-mm wall thickness. Knowing that the arm CDE is rigidly attached to the pipe, determine the normal and shearing stresses at point H on the outer surface. The properties at the cross section at H include: A 1052.4 mm2,J 1,187,700 mm4, 1 593,840 mm4, and QNA 11,243 mm3 3 kN 9 kN 120 mm 150 mm 120 mm a.) Normal stress at H: b.) Shear...
L2 ty B D3 PI P2 E 7 CROSS-SECTION / 7 CROSS SECTION L2 FI C...
L2 ty B D3 PI P2 E 7 CROSS-SECTION / 7 CROSS SECTION L2 FI C Ros5-SECTION F1 4.8 (N/mm) L1 (mm) L2 (mm) L3 (mm) P1 (mm) P2 (mm) D2 (mm) D3 (mm) 172 255 172 12.2 13.8 20.8 21.8 (a) Draw shear and moment diagrams for each of the 3 segments of the pedal-crank (b) Determine maximum bending stress and maximum torsional shear stress at key locations of this pedal-crank (c) What are the maximum principal normal stresses,...
Handout problem. A bar (d= 20 mm) has two forces acting on its end as shown....
Handout problem. A bar (d= 20 mm) has two forces acting on its end as shown. Determine the normal stress and the shear stress at points A and B in the cross-section shown. Ifthe student is looking in the positive X direction (down the axis ofthe bar), point A is on the "west" pole, while point B is on the "South" pole 100 mm 150 mm В 500 N у 300 N
Y b = 60 m a = 50 mm D н| P = 15 KN B...
Y b = 60 m a = 50 mm D н| P = 15 KN B X 2 P2 = 18 KN Figure (13) 161- For problem Figure (13), at the transverse section of member contains the Points H and K, The value of the normal force is a) -15 kN. b) + 15 kN. c) - 18 kN. d) + 18 kN. 162- For problem Figure (13), at the transverse section of member contains the Points H and K,...
2. A rectangular plate with sides 6 m and 4 m of thickness l 12 mm (Fig. 1) is subjected to the s...
2. A rectangular plate with sides 6 m and 4 m of thickness l 12 mm (Fig. 1) is subjected to the stresses σο Ơy and Fry. An Airy stress function is proposed to be φ = 12x3y. (a) Is φ a possible valid Airy stress function? Prove your answer by a calculation. (b) If φ is valid, determine the values of stresses (Ox, σ, and τ, at point (xy,z) which satisfy the stress function. (c) Draw a sketch showing...
32 mm 24 mm B 20 mm C 15 mm E 180 N m 35 N...
32 mm 24 mm B 20 mm C 15 mm E 180 N m 35 N m 55 N m 20 N m Knowing that each portion of the shaft AE consist of a solid circular rod, determine the maximum shearing stress caused in the shaft by the loading shown
60 min 30 mm 2. Problem #2: (30 points) A torque T = 3kN-m is applied...
60 min 30 mm 2. Problem #2: (30 points) A torque T = 3kN-m is applied to the solid bronze (G=3000ksi) cylinder shown. Determine: (a) (10 points) The maximum shear stress. Polar moment of inertia is given by formula: J = #D/32, where Dis the diameter of the cylinder. (b) (10 points) The shear stress at point D, which lies on a 15-mm radius circle drawn on the end of the cylinder. (c) (5 points) Sketch the shear stress distribution...
Problem 2) Combined Loading (30 points) The structure shown has a diameter of 40 mm. The length d...
Problem 2) Combined Loading (30 points) The structure shown has a diameter of 40 mm. The length dimensions are a# 500 mm and d-100mm. Using load magnitudes of = 3000 N, 1000 N, and B = 1500 N, determine the normal and shear stresses in the structure at point H. (Point H is co-planar with the xy plane.) 乃 The cross-sectional properties are: A 1257 mm2 251,327 mm l, = 1.-125,664 Ton" Qmax 5333 mm Present your answers in the...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
A thick-walled steel cylinder with internal diameter = 16 mm and external diameter = 24 mm is sub...
A thick-walled steel cylinder with internal diameter = 16 mm and
external diameter = 24 mm is subjected to a gradually increasing
internal pressure P.
I. Using accurate formulation, determine the value
of P and sketch the distribution of radial, tangential and maximum
shear stresses when:
a. The material of the cylinder first commences to
yield.
b. Yielding progressed to mid-depth of the cylinder
wall (at D= 20 mm ).
c. The material of the cylinder suffers complete
collapse (fully...
Question 5 16 pts The steel pipe AB has a 72-mm outer diameter and a 5-mm wall thickness. Knowing that the arm CDE is rigidly attached to the pipe, determine the normal and shearing stresses at point H on the outer surface. The properties at the cross section at H include: A 1052.4 mm2,J 1,187,700 mm4, 1 593,840 mm4, and QNA 11,243 mm3 3 kN 9 kN 120 mm 150 mm 120 mm a.) Normal stress at H: b.) Shear...
L2 ty B D3 PI P2 E 7 CROSS-SECTION / 7 CROSS SECTION L2 FI C Ros5-SECTION F1 4.8 (N/mm) L1 (mm) L2 (mm) L3 (mm) P1 (mm) P2 (mm) D2 (mm) D3 (mm) 172 255 172 12.2 13.8 20.8 21.8 (a) Draw shear and moment diagrams for each of the 3 segments of the pedal-crank (b) Determine maximum bending stress and maximum torsional shear stress at key locations of this pedal-crank (c) What are the maximum principal normal stresses,...
Handout problem. A bar (d= 20 mm) has two forces acting on its end as shown. Determine the normal stress and the shear stress at points A and B in the cross-section shown. Ifthe student is looking in the positive X direction (down the axis ofthe bar), point A is on the "west" pole, while point B is on the "South" pole 100 mm 150 mm В 500 N у 300 N
Y b = 60 m a = 50 mm D н| P = 15 KN B X 2 P2 = 18 KN Figure (13) 161- For problem Figure (13), at the transverse section of member contains the Points H and K, The value of the normal force is a) -15 kN. b) + 15 kN. c) - 18 kN. d) + 18 kN. 162- For problem Figure (13), at the transverse section of member contains the Points H and K,...
2. A rectangular plate with sides 6 m and 4 m of thickness l 12 mm (Fig. 1) is subjected to the stresses σο Ơy and Fry. An Airy stress function is proposed to be φ = 12x3y. (a) Is φ a possible valid Airy stress function? Prove your answer by a calculation. (b) If φ is valid, determine the values of stresses (Ox, σ, and τ, at point (xy,z) which satisfy the stress function. (c) Draw a sketch showing...
32 mm 24 mm B 20 mm C 15 mm E 180 N m 35 N m 55 N m 20 N m Knowing that each portion of the shaft AE consist of a solid circular rod, determine the maximum shearing stress caused in the shaft by the loading shown
60 min 30 mm 2. Problem #2: (30 points) A torque T = 3kN-m is applied to the solid bronze (G=3000ksi) cylinder shown. Determine: (a) (10 points) The maximum shear stress. Polar moment of inertia is given by formula: J = #D/32, where Dis the diameter of the cylinder. (b) (10 points) The shear stress at point D, which lies on a 15-mm radius circle drawn on the end of the cylinder. (c) (5 points) Sketch the shear stress distribution...
Problem 2) Combined Loading (30 points) The structure shown has a diameter of 40 mm. The length dimensions are a# 500 mm and d-100mm. Using load magnitudes of = 3000 N, 1000 N, and B = 1500 N, determine the normal and shear stresses in the structure at point H. (Point H is co-planar with the xy plane.) 乃 The cross-sectional properties are: A 1257 mm2 251,327 mm l, = 1.-125,664 Ton" Qmax 5333 mm Present your answers in the...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
A thick-walled steel cylinder with internal diameter = 16 mm and
external diameter = 24 mm is subjected to a gradually increasing
internal pressure P.
I. Using accurate formulation, determine the value
of P and sketch the distribution of radial, tangential and maximum
shear stresses when:
a. The material of the cylinder first commences to
yield.
b. Yielding progressed to mid-depth of the cylinder
wall (at D= 20 mm ).
c. The material of the cylinder suffers complete
collapse (fully...
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