Strain Energy...

Strain Energy in a Body of Varying Cross Section

Trending Questions

Q. Consider the stepped bar made with a linear elastic material and subjected to an axial load of

1 k N

as shown in figure

Segments

1

and

2

have cross sectional area of

100 m m^{2}

and

60 m m^{2}

, Young's modulus of

2 \times 10^{5} M P a

and

3 \times 10^{5} M P a

and length of

400 m m

and

900 m m

respectively. The strain energy in

N - m m

up to 2 decimal place in the bar due to the axial load is

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Q. A

2 m

long axially loaded mild steel rod of

8 m m

diameter exhibits the load-displacement

(P - δ)

behaviour as shown in the figure.

Assume the yield stress of steel as

250 M P a .

The complementary strain energy (in N-mm) stored in the bar up to its linear elastic behaviour will be

15707.96

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Q. Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic energy stored in bolt A is 4 times that of the bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is

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Q. A rigid beam CBDA is hinged at A and supported by two springs at C and B with a vertical load 'P' at point D as shown in the given figure. The ratio of stiffness

(k_{2} / k_{1})

of springs at B and C is 2. The ratio of forces in spring at C to that at B is

$3 / 4$
$1$
$4 / 3$
$2$

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