Two brass rods, AB and BC. Find (a) Length of rod AB for which the max. normal stress in ABC is...
brazed together at B to form a nonuniform rod of total length
100 m which will be suspended from a support at A as shown.
Knowing that the density of brass is 8470 kg/m3, determine (a) the
length of rod AB for which the maximum normal stress in ABC is
minimum, (b) the corresponding value of the maximum normal
stress.
Homework Answers
For rod AB
At B we get normal stress due to weight of rod BC
At A we get normal stress due to weight of full rod (AB+BC)
so we can say max stress is at A and min stress at B
then inorder to have min stress we have to consider stress at B should be max normal stress in the rod AB
thats why stress at A=B
Note- Here we are considering min stress at B because it is the weakest point in the rod ABC
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Two brass rods, AB and BC. Find (a) Length of rod AB for which the max. normal stress in ABC is...
PROBLEM 1.6 Two brass rods AB and BC, each of uniform diameter, will be brazed together...
PROBLEM 1.6 Two brass rods AB and BC, each of uniform diameter, will be brazed together at B to form a nonuniform rod of total length 100 m, which will be suspended from a support at A as shown. Knowing that the density of brass is 8470 kg/m, determine (a) the length of rod AB for which the maximum normal stress in ABC is minimum, (b) the corresponding value of the maximum normal stress. (l 15 mm 100 m
Two brass rods AB and BC, each of uniform diameter, will be brazed together at B...
Two brass rods AB and BC, each of uniform diameter, will be
brazed together at B to form a nonuniform rod of total length 130m
which will be suspended from a support at A
Answer part A in m
Answer part B in MPa
2. Two solid cylindrical rods AB and BC are wớided together at B and loaded as...
2. Two solid cylindrical rods AB and BC are wớided together at B and loaded as shown. Knowing that the average normal stress must not exceed 180x 10ºPa in rod AB and 155 x10 Pa in rod BC, determine the smallest allowable diameter of AB and BC. O IN 250 SOEN 1
The assembly shown in the figure below consists of solid AB, BC and CD rods connected...
The assembly shown in the figure below consists of solid AB, BC and CD rods connected together, the solid rod AB has 10 mm diameter and 100 mm length, the solid rod BC has 20 mm diameter a 120 mm length, while the solid rod CD has 10 mm diameter and 100 mm length. Allh rods are made of steel with E-200 GPa. the assembly is subjected to 100 kN tensile force (CLO5) The average normal stress between A and...
Two rigid rods as shown, AB and BC are connected to a pivot (A) and initially...
Two rigid rods as shown, AB and BC are connected to a pivot (A)
and initially at rest as shown. Each rod has mass of 3 kg and
length L = 0.5 m. A force P as shown is then applied to rod BC at
some distance b from B (the pivot between bars A and B). Please
find the distance b where, when force P is applied, the two rods
(AB and BC) move together as if they formed...
Two solid cylinder rods AB and BC are welded together at B and loaded as shown....
Two solid cylinder rods AB and BC are welded together at B and loaded as shown. Determine the magnitude of the force P for which tensile stress in rod AB has the same magnitude as compressive stress in rod BC. 30 lips B 30 lips 30 m 40 in.
3. A rod consisting of two cylindrical portions AB and BC is restrained at both ends,...
3. A rod consisting of two cylindrical portions AB and BC is restrained at both ends, as shown in figure Q3 below. Portion AB is made of brass (E 105 Gpa, and ь-20.9 x 10-6 per °C) and portion BC is made out of aluminum (Eb 72 Gpa, and otb 23.9 x 106 per °C). The rod is initially unstressed at room temperature of 20 °C. If the temperature changes to 62 °C, find: a) the resulting normal stress in...
A rod consist of two cylindrical portions AB and BC is restrained at both ends. Portion...
A rod consist of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel with the following properties (Es 200 GPa, as 11.7 x 10 6/C) and portion BC is made of brass with the following properties (E, 105 GPa, a 20.9 x 10 6/°C). Determine the compressive force induced in ABC when there is a temperature rise of 50°C, knowing that the rod is initially unstressed 2. 30-mm diameter 250 mm
3. A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to two torqu...
3. A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to two torques as shown in the figure. The steel portion has a diameter of dAN-30mm. The brass portion a diameter of dac-60mm. GAB-75GPa, GBC-37.5GPa. (1) Determine the support reaction at A and C. (2) Draw the stress distribution on a volume element at point E. (You don't need to know between D and E. The location...
PROBLEM 1.6 Two brass rods AB and BC, each of uniform diameter, will be brazed together at B to form a nonuniform rod of total length 100 m, which will be suspended from a support at A as shown. Knowing that the density of brass is 8470 kg/m, determine (a) the length of rod AB for which the maximum normal stress in ABC is minimum, (b) the corresponding value of the maximum normal stress. (l 15 mm 100 m
Two brass rods AB and BC, each of uniform diameter, will be
brazed together at B to form a nonuniform rod of total length 130m
which will be suspended from a support at A
Answer part A in m
Answer part B in MPa
2. Two solid cylindrical rods AB and BC are wớided together at B and loaded as shown. Knowing that the average normal stress must not exceed 180x 10ºPa in rod AB and 155 x10 Pa in rod BC, determine the smallest allowable diameter of AB and BC. O IN 250 SOEN 1
The assembly shown in the figure below consists of solid AB, BC and CD rods connected together, the solid rod AB has 10 mm diameter and 100 mm length, the solid rod BC has 20 mm diameter a 120 mm length, while the solid rod CD has 10 mm diameter and 100 mm length. Allh rods are made of steel with E-200 GPa. the assembly is subjected to 100 kN tensile force (CLO5) The average normal stress between A and...
Two rigid rods as shown, AB and BC are connected to a pivot (A)
and initially at rest as shown. Each rod has mass of 3 kg and
length L = 0.5 m. A force P as shown is then applied to rod BC at
some distance b from B (the pivot between bars A and B). Please
find the distance b where, when force P is applied, the two rods
(AB and BC) move together as if they formed...
Two solid cylinder rods AB and BC are welded together at B and loaded as shown. Determine the magnitude of the force P for which tensile stress in rod AB has the same magnitude as compressive stress in rod BC. 30 lips B 30 lips 30 m 40 in.
3. A rod consisting of two cylindrical portions AB and BC is restrained at both ends, as shown in figure Q3 below. Portion AB is made of brass (E 105 Gpa, and ь-20.9 x 10-6 per °C) and portion BC is made out of aluminum (Eb 72 Gpa, and otb 23.9 x 106 per °C). The rod is initially unstressed at room temperature of 20 °C. If the temperature changes to 62 °C, find: a) the resulting normal stress in...
A rod consist of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel with the following properties (Es 200 GPa, as 11.7 x 10 6/C) and portion BC is made of brass with the following properties (E, 105 GPa, a 20.9 x 10 6/°C). Determine the compressive force induced in ABC when there is a temperature rise of 50°C, knowing that the rod is initially unstressed 2. 30-mm diameter 250 mm
3. A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to two torques as shown in the figure. The steel portion has a diameter of dAN-30mm. The brass portion a diameter of dac-60mm. GAB-75GPa, GBC-37.5GPa. (1) Determine the support reaction at A and C. (2) Draw the stress distribution on a volume element at point E. (You don't need to know between D and E. The location...
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