Question 6.12: A simply supported beam 100 × 200 mm carries a central conce...

Fundamentals of Strength of Materials

A simply supported beam 100 × 200 mm carries a central concentrated load W. The permissible stress in bending and shear are 15 N/mm² and 1.2 N/mm², respectively. Determine the safe load, W, if the span of the beam is 3.0 m.

The "Step-by-Step Explanation" refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.
Our explanations are based on the best information we have, but they may not always be right or fit every situation.

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

This Question has been Answered.

Already have an account?

Related Answered Questions

Question: 6.7

An I-section of a beam has the following dimensions: flanges, 10 cm × 1 cm and web, 12 cm × 1 cm (Figure 6.20). If this section is subjected to a bending moment of 5 kN m and a shearing force of 5 kN, find out maximum tensile stress and maximum shearing stress induced in it. ...

Verified Answer:

From symmetry, we can easily locate the centroid o...

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. ...

Verified Answer:

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

Question: 6.10

A cantilever beam of circular solid cross-section is fixed at one end and carries a concentrated load P at the free end. The diameter of the section is 200 mm at free end and increases uniformly to 400 mm at the fixed end over a length of 2 m. At what distance from the free end will the bending ...

Verified Answer:

In Figure 6.25, the beam is shown. Let the diamete...

Question: 6.9

A timber beam 15 cm wide and 20 cm deep carries a uniformly distributed load over a span of 4 m and is simply supported. If the permissible stresses are 30 N/m² longitudinally and 3 N/mm² in transverse shear, calculate the maximum load which can be carried by the timber beam. ...

Verified Answer:

For the uniformly distributed loading of intensity...

Question: 6.6

A simply supported beam carries a concentrated load at its centre as shown in Figure 6.19. If the allowable working stress in bending is 70 kg/cm² and that in shear is 11 kg/cm², what is the safe value of P? ...

Verified Answer:

The cross-sectional area = bh = 25 × 15 = 375 cm²....

Question: 6.8

A simply supported beam made of rolled steel joist (I-section: 450 mm × 200 mm) has a span of 5 m and it carries a concentrated load W. The flanges are strengthened by two 300 mm × 20 mm plates, one riveted to each flange, over the entire length of the flanges. The second moment of area of the ...

Verified Answer:

(a) Let us show the beam section in Figure 6.23. C...

Question: 6.4

A simply supported beam is subjected to a linearly varying load having maximum intensity of w N/m at the extreme right end. If the beam has a wide-flange I-section¹ as shown in Figure 6.15, find out the loadintensity that may be applied provided the working stress is not to exceed 125 MPa in either ...

Verified Answer:

Let us first draw the free-body diagram for the be...

Question: 6.3

A compound beam made of two bars AC and CD hinged together at C is supported and loaded (Figure 6.12). Each portion is a standard 15 MB 125 section for which Z = 71.8 cm³. What is the safe value of intensity ‘w’ of the uniformly distributed load if allowable working stress in bending is σw = 1400 ...

Verified Answer:

From the free-body diagram shown in Figure 6.13(a)...

Question: 6.2

Three beams have same length, allowable stress and bending moment (Figure 6.11). Find the ratios of weights of circular and rectangular beam with respect to square beam. ...

Verified Answer:

As for the three cases, allowable stress, bending ...

Question: 6.1

A beam of rectangular cross-section carries a total load of 20 kN which is uniformly distributed over the total span of 3.6 m. If the depth of the beam is twice its width and maximum stress in tension or compression is not to exceed 7 MPa, find out the dimension of the beam (refer Figure 6.10) ...

Verified Answer:

From the overall free-body diagram of the beam sho...