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1. |
Which of the following equations is the correct expression for bending moment (M) in an element, given the modulus of elasticity (E), moment of inertia (I), element length (le), shape function ( ) and displacement (q) in a uniformly distributed load on a simply supported beam? |
A. | M= ( frac{EI}{(le)^2} )[6 q<sub>1</sub>+(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>+(3 +1)l<sub>e</sub>q<sub>4</sub>] |
B. | M= ( frac{EI}{(le)^3} )[6 q<sub>1</sub>-(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>-(3 +1)l<sub>e</sub>q<sub>4</sub>] |
C. | M= ( frac{EI}{(le)^2} )[6 q<sub>1</sub>+(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>-(3 +1)l<sub>e</sub>q<sub>4</sub>] |
D. | M= ( frac{EI}{(le)^3} )[6 q<sub>1</sub>+(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>+(3 +1)l<sub>e</sub>q<sub>4</sub>] |
Answer» B. M= ( frac{EI}{(le)^3} )[6 q<sub>1</sub>-(3 -1)l<sub>e</sub>q<sub>2</sub>-6 q<sub>3</sub>-(3 +1)l<sub>e</sub>q<sub>4</sub>] | |