A 25mm diameter steel rod 1.5m long is being used in a rigid structure. For this...
A 25mm diameter steel rod 1.5m long is being used in a rigid structure.
For this steel the Ultimate Tensile Stress is 410 MPa
Young’s Modulus is 200 GPa
The rod is to be subjected to a tension load of 40 kN.
Design requirements are that the rod cannot extend by more than 0.5 mm and that there is a Factor of Safety of 5 for the tensile stress.
Determine whether or not the rod is adequate for the task:
- With regards to the condition that a FoS of 5 be maintained
- With regards to the condition that extension not exceed 0.5 mm.
- What is the maximum load this rod can be subject to while meeting the design requirements?
Homework Answers
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A 25mm diameter steel rod 1.5m long is being used in a rigid
structure.
For this...
Required Information A steel rod AD and a brass rod BE are connected by a rigid...
Required Information A steel rod AD and a brass rod BE are connected by a rigid bar ACB, which is fixed at a pivot point. The stiffness of th steel rod is greater than the brass rod. The distances from the pivot point to the connections are 240 mm and 150 mm respectively, as shown in the figure. It is known that rod AD has a cross-section area 41 = 100 mm, length L1 = 330 mm, Young's modulus G...
Q} A mild Steel rod of 10 mm dia., 25 mm long was subjected to a...
Q} A mild Steel rod of 10 mm dia., 25 mm long was subjected to a tensile load of 5 kN, its elongation been 0.277 mm, estimate the value of its young's modulus
6. A steel tie rod is 20 mm diameter. It carries a load of 4x10 N....
6. A steel tie rod is 20 mm diameter. It carries a load of 4x10 N. Given an ultimate tensile stress (UTS) of 460 MPa, calculate the factor of safety for this loading.
a steel bar of 25mm diameter and 122m long absorbs QUESTION 2 A steel bar of...
a steel bar of 25mm diameter and 122m long absorbs
QUESTION 2 A steel bar of 25 mm diameter and 1 22 m long absorbs 65 Nm oft energy at its lmit of proportionality under axial loading Assume the modulus of elasticty to be E 200 x 10 Pa and calculate 21 The stress induced in the bar, 22 The load when Gradually applied. Suddenly applied, Dropped through a height of 120 mm The following formula may be applied TURN...
Engineering materials b) A mild steel rod of 4 cm diameter was tested for tensile strength...
Engineering materials
b) A mild steel rod of 4 cm diameter was tested for tensile strength with the gauge length of 60 mm. The following observations were recorded: Final length = 9 cm; Final diameter = 8 mm; Yield load – 5.4 kN and Ultimate load – 8.1 KN. (4 Marks) Calculate 1. Yield stress (1 Mark) 2. Ultimate tensile stress (Mark) 3. Percentage reduction in area. (1 Mark) 4. Percentage elongation (IMark)
A uniformly-distributed load wis supported by a structure consisting of rigid bar BDF and three rods....
A uniformly-distributed load wis supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 17-mm-diameter stainless steel rods that have an elastic modulus of E = 199 GPa. Rod (3) is a 23-mm-diameter bronze rod that has an elastic modulus of E = 101 GPa. Use a = 1.5 m and L = 3.1 m. For a load magnitude of w = 36 kN/m, calculate (a) the normal stress in each rod. (b)...
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m...
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. What is the Poisson's Ratio of this material? 2. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length...
The A992 steel rod is subjected to the loading shown. If the cross-sectional area of the...
The A992 steel rod is
subjected to the loading shown. If the cross-sectional area of the
rod is 100 mm2. Neglect the size of the couplings at B and C. The
elastic modulus and yield stress of A992 steel is 200 GPa and 345
MPa respectively. Determine the displacement of B and A with
respect to point D. (Preserve 2 significant digits after the
decimal point.)
QUESTION 1 The 1992 steel rod is subjected to the loading shown. If the...
The rigid structure ABD issupported at B by a 36-mm-diameter tie rod (1) and at...
The rigid structure ABD is
supported at B by a 36-mm-diameter tie rod (1) and at A by a
29-mm-diameter pin used in a single shear connection. The tie rod
is connected at B and C by 24-mm-diameter pins used in double shear
connections. Tie rod (1) has a yield strength of 260 MPa, and each
of the pins has an ultimate shear strength of 320 MPa. A
concentrated load of P = 50 kN acts as shown at D....
Q1. A circular rod of 12 mm diameter was tested for tension. The total elongation on...
Q1. A circular rod of 12 mm diameter was tested for tension. The total elongation on a 300 mm length was 0.22 mm under a tensile load of 17 KN. Find the value of E. (2.5 Marks) Answer: Q2. A prismatic bar has a cross section of 25 mm x 50 mm and a length of 2m under an axial force of 90 KN. The measured elongation of the bar is 1.5 mm. Compute the tensile stress and strain in...
Required Information A steel rod AD and a brass rod BE are connected by a rigid bar ACB, which is fixed at a pivot point. The stiffness of th steel rod is greater than the brass rod. The distances from the pivot point to the connections are 240 mm and 150 mm respectively, as shown in the figure. It is known that rod AD has a cross-section area 41 = 100 mm, length L1 = 330 mm, Young's modulus G...
Q} A mild Steel rod of 10 mm dia., 25 mm long was subjected to a tensile load of 5 kN, its elongation been 0.277 mm, estimate the value of its young's modulus
6. A steel tie rod is 20 mm diameter. It carries a load of 4x10 N. Given an ultimate tensile stress (UTS) of 460 MPa, calculate the factor of safety for this loading.
a steel bar of 25mm diameter and 122m long absorbs
QUESTION 2 A steel bar of 25 mm diameter and 1 22 m long absorbs 65 Nm oft energy at its lmit of proportionality under axial loading Assume the modulus of elasticty to be E 200 x 10 Pa and calculate 21 The stress induced in the bar, 22 The load when Gradually applied. Suddenly applied, Dropped through a height of 120 mm The following formula may be applied TURN...
Engineering materials
b) A mild steel rod of 4 cm diameter was tested for tensile strength with the gauge length of 60 mm. The following observations were recorded: Final length = 9 cm; Final diameter = 8 mm; Yield load – 5.4 kN and Ultimate load – 8.1 KN. (4 Marks) Calculate 1. Yield stress (1 Mark) 2. Ultimate tensile stress (Mark) 3. Percentage reduction in area. (1 Mark) 4. Percentage elongation (IMark)
A uniformly-distributed load wis supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 17-mm-diameter stainless steel rods that have an elastic modulus of E = 199 GPa. Rod (3) is a 23-mm-diameter bronze rod that has an elastic modulus of E = 101 GPa. Use a = 1.5 m and L = 3.1 m. For a load magnitude of w = 36 kN/m, calculate (a) the normal stress in each rod. (b)...
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. What is the Poisson's Ratio of this material? 2. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length...
The A992 steel rod is
subjected to the loading shown. If the cross-sectional area of the
rod is 100 mm2. Neglect the size of the couplings at B and C. The
elastic modulus and yield stress of A992 steel is 200 GPa and 345
MPa respectively. Determine the displacement of B and A with
respect to point D. (Preserve 2 significant digits after the
decimal point.)
QUESTION 1 The 1992 steel rod is subjected to the loading shown. If the...
The rigid structure ABD is
supported at B by a 36-mm-diameter tie rod (1) and at A by a
29-mm-diameter pin used in a single shear connection. The tie rod
is connected at B and C by 24-mm-diameter pins used in double shear
connections. Tie rod (1) has a yield strength of 260 MPa, and each
of the pins has an ultimate shear strength of 320 MPa. A
concentrated load of P = 50 kN acts as shown at D....
Q1. A circular rod of 12 mm diameter was tested for tension. The total elongation on a 300 mm length was 0.22 mm under a tensile load of 17 KN. Find the value of E. (2.5 Marks) Answer: Q2. A prismatic bar has a cross section of 25 mm x 50 mm and a length of 2m under an axial force of 90 KN. The measured elongation of the bar is 1.5 mm. Compute the tensile stress and strain in...
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