Strength of Materials 2nd. Edition by Debabrata Nag, Abhijit Chanda | 9788126534876 | 8126534877 | Holooly

Mechanics of Materials

Strength of Materials

226 SOLVED PROBLEMS

Question: 8.3

A column with rectangular cross-section is pin-supported at its two ends (Figure 8.9). It is restrained in the plane of the figure but free to deflect in a plane perpendicular to it. Find out the ratio h:b such that the critical load is same for buckling in two principal planes of the column. ...

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A rectangular section possesses two principal axes...

Question: 8.1

A column with a length of 7.2 m has a tubular cross-section with internal radius 70 mm and external radius of 75 mm. It is to be used as a pin-ended column carrying compressive load along its axis. The material is steel with elastic limit at 250 MPa and Young’s modulus 200 GPa. Find out the maximum ...

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In this case, both ends of the column are pinned. ...

Question: 7.16

Calculate the slope of elastic line at B and the deflection at point D of the beam shown in Figure 7.29. ...

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Let us draw the free-body diagram of the beam as s...

Question: 1.6

A stepped bar, as shown in Figure 1.21, is acted upon by different forces. If P1 = 80 kN, P2 = 60 kN, P3 = 40 kN and Young’s modulus of the material is 200 GPa, find out the net change in length. ...

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Let us consider different segments of the stepped ...

Question: 6.11

A circular log of timber has diameter d. Find the ratio of breadth to depth of the rectangular beam that can be cut from a circular log for the strongest section in bending. ...

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Refer to Figure 6.26 wherein a rectangular beam se...

Question: 3.8

A thin-walled conical tank is supported on a horizontal base and is full of liquid with specific weight (i.e., weight per unit volume) γL. Neglecting the self-weight of the cone, determine the principal membrane stresses at a depth of the tank as shown in Figure 3.14(a). ...

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From the general governing equation of a thin-wall...

Question: 4.1

At a certain point in a strained material, there exists a stress condition as shown in Figure 4.8. Find (a) the normal and shear stresses on the inclined plane AB; (b) principal stresses and principal planes; (c) maximum shear stresses and their planes. ...

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We know that if θ be the angle made by the plane A...

Question: 3.7

A cylindrical pressure vessel has internal diameter 1.2 m and plate thickness of 12 mm. Find out the maximum internal pressure it can sustain so that neither circumferential nor longitudinal nor radial stress exceed 140 MPa. Also find out the maximum internal pressure that a spherical pressure ...

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Before we try to solve, let us accept that the pro...

Question: 2.15

A helical spring ‘B’ is placed inside the coils of a second helical spring ‘A’, having same number of coils, same free axial length and same material. The two springs are compressed by an axial load of 210 N which is shared by them. The mean coil diameters of A and B are 90 mm and 60 mm and the ...

Verified Answer:

We know that the spring stiffness, k is

k=...

Question: 14.8

By determining shear stress distribution in leg AB, find the location of shear centre, S of the section shown in Figure 14.37(a). Assume thickness is small and uniform throughout. ...

Verified Answer:

Clearly, from Figures 14.37(a) and (b), we obtain ...

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