Structural and Stress Analysis 4th. Edition by T.H.G. Megson | 9780081025864 | 0081025866 | Holooly

Structural Analysis

Structural and Stress Analysis [EXP-43438]

644 SOLVED PROBLEMS

Question: 9.2

A 230 mm×300 mm timber cantilever of rectangular cross section projects 2.5 m from a wall and carries a load of 13 300 N at its free end. Calculate the maximum direct stress in the beam due to bending.

Verified Answer:

The maximum bending moment occurs at the built in ...

Question: 3.26

A balcony consists of a concrete slab supported on two cantilever steel joists CD and EF welded to a Universal Beam AB as shown in Fig. P.3.26. The concrete slab is 3 m long, 1.5 m wide, and 150 mm thick. If the density of concrete is 22 kN/m^3 and the self-weight of the joists is 17 kg/m,

Verified Answer:

The weight of the concrete slab is 22 × 3 × 0.15 ×...

Question: 11.4

A bar ABCD has a circular cross section of 75 mm diameter over half its length and 50 mm diameter over the remaining half of its length. A torque of 1 kNm is applied at C midway between B and D as shown in Fig. P.11.4. Sketch the distribution of torque along the length of the bar and calculate the

Verified Answer:

From equilibrium

T_{ A }+T_{ D }=1 [/latex...

Question: 11.3

A bar ABCD of circular cross section having a diameter of 50 mm is firmly supported at each end and carries two concentrated torques at B and C as shown in Fig. P.11.3. Calculate the maximum shear stress in the bar and the maximum angle of twist. Take G = 70000 N/mm^2.

Verified Answer:

From equilibrium

T_{ A }+T_{ D }=2500 Nm [...

Question: 11.4

A bar of circular cross section is 2.5 m long (Fig. 11.8). For 2 m of its length its diameter is 200 mm while for the remaining 0.5 m its diameter is 100 mm. If the bar is firmly supported at its ends and subjected to a torque of 50 kNm applied at its change of section, calculate the maximum

Verified Answer:

In this problem Eqs (11.7) and (11.8) cannot be us...

Question: 8.2

A bar of metal 25 mm in diameter is tested on a length of 250 mm. In tension the following results were recorded: A torsion test gave the following results: Represent these results in graphical form and hence determine Young’s modulus, E, the modulus of rigidity, G, Poisson’s ratio, v, and the bulk

Verified Answer:

From Eq. (7.8) Young’s modulus E is equal to the s...

Question: 7.18

A bar of mild steel of diameter 75 mm is placed inside a hollow aluminium cylinder of internal diameter 75 mm and external diameter 100 mm; both bar and cylinder are the same length. The resulting composite bar is subjected to an axial compressive load of 10^6 N. If the bar and cylinder contract

Verified Answer:

The first part of this question is identical in fo...

Question: 15.P.25

A beam 2.4 m long is simply supported at two points A and B which are 1.44 m apart; point A is 0.36 m from the left-hand end of the beam and point B is 0.6 m from the right-hand end; the value of EI for the beam is 240×10^8 Nmm^2. Find the slope at the supports due to a load of 2 kN applied at the

Verified Answer:

Referring to Fig. S.15.25 the support reactions ar...

Question: 13.P.2

A beam AB of length L (Fig. P.13.2) is freely supported at A and at a point C which is at a distance KL from the end B. If a uniformly distributed load of intensity w per unit length acts on AC, find the value of K which will cause the upward deflection of B to equal the downward deflection midway

Verified Answer:

Since there are no loads on the part CB of the bea...

Question: 14.P.12

A beam has a rectangular thin-walled box section 50 mmwide by 100 mmdeep and has walls 2 mm thick. At a particular section the beam carries a bending moment M and a torque T. A rectangular strain gauge rosette positioned on the top horizontal wall of the beam at this section recorded the following

Verified Answer:

Substituting the given values of strain in Eqs (14...

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