1. UNIT-01. SIMPLE STRESSES & STRAINS
Lecture Number - 04
Prof. S.V. WANKHWDE
MECHANICAL DEPARTMENT
SIT LONAVALA
Strength of Materials

2. Agenda Statically Indeterminate Members Numerical.
Strength of Materials

3. Statically Indeterminate Members
When the reactive forces or the internal resisting forces over a cross section exceed the number of independent equations of equilibrium, the structure is called statically indeterminate.
These cases require the use of additional relations that depend on the elastic deformations in the members.
Strength of Materials

4. Determine i)Reaction at A and B ii)Extension of left portion.
Problem 1:
A steel bar shown in fig is having cross sectional area of is held between two end supports and loaded by an axial forces of 30kN.
Determine i)Reaction at A and B
ii)Extension of left portion. A C B
30 kN
0.3m
0.7m
Strength of Materials

5. A C C B
0.3m
0.7m
Since both the ends A and B are rigidly fixed, there will be no deformation
Strength of Materials

6. Problem 2
A steel circular bar PORS fixed rigidity at P and S. Bar is subjected to axial loads of 60kN and 120kN at Q and R as shown in Fig. Find the loads shared by each part of the bar and the displacement of the points Q & R. Take E for steel 207
30mm 60 mm
120kN
80mm
60kN
320mm
400mm
480mm
Strength of Materials

7. Forces in portion LM, MN, NP Displacement of points M and N Take E=200
Problem 3
A bar LMNP, fixed at L and P is subjected to axial forces at different location as shown in fig. Determine:
Forces in portion LM, MN, NP
Displacement of points M and N
Take E=200 N P M L R2 R1
50kN
100kN
0.5m
0.75m 1m
Strength of Materials

8. Find i)Reaction at ends A and B ii)stresses in each portion
Problem 4
A 40mm diameter bar is fixed at ends A and B. Two collar weighing 25kN and 40kN are placed at C and D resp. as shown in fig.
Find i)Reaction at ends A and B
ii)stresses in each portion
iii) Distance through which each
collar moves
Assume E=200Gpa A
200mm C
300mm
25kN D
500mm
40kN
Strength of Materials