Figure below shows a cross section of a concrete gravity dam. Datapertaining to the dam are as shown in the figure. A safety factor, f of 0.8 isapplied in the design of the dam.a.Check the stability of the dam per unit length (1 m) against:i. overturning,ii.iii.sliding, andstresses.Determine the vertical normal stresses acting at the heel and toe ofthe dam.El. = 47 mBl. = 0 mV4 mDAM-R1 =50 mEl. = 33 m50 m

Cross-section of concrete gravity dam Factor of safety=0.8 It is asked to check the stability of the…

Answered: a. b. Check the stability of the dam…

a. b. Check the stability of the dam per unit length (1 m) against: overturning, sliding, and stresses. i. ii. iii. Determine the vertical normal stresses acting at the heel and toe of the dam.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Load and resistance factor design

Load and resistance factors design (LRFD), also known as Limit state design (LSD), refers to the design method used in building engineering. A boundary condition is a condition of a structure where it can no longer meet the relevant design requirements. The condition may refer to the load level or other actions on the structure, while the terms refer to the integrity of the structure, suitability for use, durability, or other design requirements. A structure designed for LRFD is limited to keeping track of all possible actions during its design time and is always ready for use, with the appropriate level of reliability in each boundary condition. LRFD-based construction codes clearly define the appropriate levels of reliability in their instructions.

Question

Figure below shows a cross section of a concrete gravity dam. Data
pertaining to the dam are as shown in the figure. A safety factor, f of 0.8 is
applied in the design of the dam.
a.
Check the stability of the dam per unit length (1 m) against:
i. overturning,
ii.
iii.
sliding, and
stresses.
Determine the vertical normal stresses acting at the heel and toe of
the dam.
El. = 47 m
Bl. = 0 m
V
4 m
DAM
-R1 =
50 m
El. = 33 m
50 m

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Step 1: Given data:

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Step 2: Forces acting on the dam:

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Step 3: Moment about Toe of dam:

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Step 4: Factor of safety against sliding, Overturning, Stresses:

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Step 5: Vertical normal stresses at the heel and toe of the dam

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