# Question 14.7.2: The frame in Fig. 14.7-7(a) is of uniform sections throughou...

The frame in Fig. 14.7-7(a) is of uniform sections throughout, and supports the working loads as shown. If the collapse load factor is to be 2, determine the required plastic moment of resistance.

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Question: 14.3.1

## Derive an expression for the bending moment in a rectangular section when the stress distribution is partly plastic and partly elastic (Fig. 14.3-3). ...

Force in each plastic zone = \sigma _{y}b\l...
Question: 14.10.3

## Using the method of combination of mechanisms, determine the shakedown load factor λ for the uniform frame in Fig. 14.10-6(a) if the load H can vary at random within the range 0 to 10λ kN and the load V can vary at random within the range 0 to 15λ kN. The plastic moment of resistance of each ...

Three collapse mechanisms can be identified. These...
Question: 14.10.2

## Using Eqn 14.10-26, obtain an upper bound on the shakedown load factor for the uniform two-span beam in Fig. 14.10-2, if the loads Pand Q may each vary at random within the range 0 to λ Mp. ...

Consider the mechanism in Fig. 14.10-5. The elasti...
Question: 14.8.3

## Using the safe theorem, given an alternative solution to Example 14.8-2. ...

Fig. 14.8-4 shows a bending moment diagram obtaine...
Question: 14.8.2

## Fig. 14.8-3(a) shows a propped cantilever supporting a uniformly distributed load w per unit length. If the collapse load factor is to be A, determine the required plastic moment of resistance Mp. ...

Let the unknown location of the sagging plastic hi...
Question: 14.8.1

## The frame in Fig. 14.8-1(a) is of uniform plastic moment of resistance 33.3 kNm and supports loads of working values shown. Using Baker, Home and Heyman’s equivalent load method, estimate the collapse load factor λ. ...

Referring to Fig. 14.8-1(b), for a simply supporte...
Question: 14.6.1

## The propped uniform cantilever in Fig. 14.6-4(a) is of plastic moment Mp. Determine the value of P at collapse using (a) the work method (b) the statical method. ...

(see also comments at the end) (a) The work method...
Question: 14.6.4

## Fig. 14.6-10(a) shows a fixed-end portal frame of uniform plastic moment of resistance Mp. Determine the minimum value of P such that the loading shown would cause collapse. ...

We can identify three mechanisms of collapse, as s...
Question: 14.7.1